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Rose

James Raja

007

Collection

Addition

Partnership Magical

Rex Prime MatheMagica

Raja

Prime

Partnership

Mantel Maths

Raja

007

Bond

Magical

Rose

James Raja

007

Collection

Addition

Bond Magical

Rex Prime

Partnership

Raja

Prime

Partnership

Mantel Maths

Raja

007

Bond

Magical

Rose

James Raja

007

Collection

Addition

Bond Magical

Rex Prime

Partnership

Raja

Prime

Partnership

Mantel Maths

Raja

007

Bond

Magical

Bilingual

007

Partnership

Rajasthan

AIR-24SSC (CGL)-2011

Raja SirIncome Tax Inspector14 Years' teaching experience

• CAT • GMAT • UPSC • SSC • BANK

Aryan Ratios

Concepts

Exercises

Neon Approaches

Previous Year Questions

Copyright©2020,byManisha BansalAll right reserved. No part of this book may be reproduced, stored in or introduced into a retrieval system, or transmitted, in any form, or by any means (electronic, mechanical, photocopying, recording or otherwise) without the prior written permission of the author. Any person who does any unauthorised act in relation to this production may be liable to criminal prosecution and civil claims for damages.

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12Partnership

LearningObjectives

Inthischapter,youwilllearn:

lk>snkjh

Partnership : De�initionFlk>snkjh% ifjHkk"kk

Different applications of ratioFvuqikr ds fofHkUUk vuqiz;ksx

Kinds of questions asked in the CAT, SSC, CDS, Bank, Railways.FCAT, SSC, CDS, Bank & Railwaysesa iwNs x,s iz'uksa ds izdkj

Different methods of solving questionsFiz'uksa dks lkWYo djus ds fofHkUu rjhds

Neon ApproachesFfu;kWu vizksp

bl v/;k; esa vki lh[ksaxs%

You can not change the world by being like the world. Stand apart. Stand out. Stand for something. Stand up and be brave. achilles

- The Iliad, Homer.vki nqfu;k ds tSls cudj nqfu;k ugha cny ldrsAHkhM ls vyx gVdj [kM+s gks tkvks vkSj cgknqj cuks AA vfdyht~ bfy;M] gksej

Contents

1. PartnershipConcepts 01-08

Concept1:SimplePartnership¼lk/kkj.k lk>snkjh½

Concept2:CompoundPartnership¼fefJr lk>snkjh½

Concept3:RentSharing¼fdjk;s esa fgLlsnkjh½

Concept4:TypesofPartners¼lk>snkj ds izdkj½

2. Worked-outProblems 09-16

3. PracticeExercise-007 17-19

4. Exercise-1,Level-1 20-25



7. PreviousYearQuestions(SSC) 42-45

8. PreviousYearQuestions(Bank) 46-66

S.No. TopicName PageNo.

I am indebted to my father for living. but to my teacher for living well.

Alexander the GreatftUnxh eq>s esjs firk us nh ij ftUnxh thuk eq>s esjs xq# us fl[kk;k AA fldUnj egku

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Partnership

Partnership is an association of two or more persons who invest

their money in order to carry on a certain business.

Types of Partnership

There are two types of partnership.

1. Simple Partnership

2. Compound Partnership

➢ Simple Partnership (Concept 1) • If the capitals of the partners are invested for the same time, the

partnership is called a simple partnership.

In the case of simple partnership gains or losses in a partnership

are divided among the partners in the ratio of their investments.

• If x and y are partners in a business then:

= =Profit of x

Profit of

Investment of x Loss of x

Investment of y y Loss of y

• If x, y and z are partners in a business, then:

Investment of x : Investment of y : Investment of z

= Profit of x : Profit of y : Profit of z

= Loss of x : Loss of y : Loss of z

Note: Partnership is a typical case of direct variation.

lk>snkjh

nks ;k nks ls vf/kd O;fDr ,d O;kikj esa ykHk dekus ds fy, /ku dk

fuos'k djrs gSa] rks mls lk>snkjh dgrs gSaA

lk>snkjh ds çdkj

lk>snkjh nks çdkj dh gksrh gSA

1- lk/kkj.k lk>snkjh

2- fefJr lk>snkjh

➢ lk/kkj.k lk>snkjh ¼fl)kar 1½

• ;fn lk>snkjksa dh /kujkf'k;ksa dks leku le; ds fy, fuos'k fd;k tkrk

gS] rks lk>snkjh dks ,d lk/kkj.k lk>snkjh dgk tkrk gSA

lk/kkj.k lk>snkjh esa ykHk ;k gkfu dks lk>snkjksa ds chp muds fuos'k ds

vuqikr esa foHkkftr fd;k tkrk gSA

• ;fn x vkSj y fdlh O;olk; esa Hkkxhnkj gSa] rks

x x x

y y y= =

dk fuo's k dk ykHk dh gkfu

dk fuos'k dk ykHk dh gkfu

• ;fn x, y vkSj z fdlh O;olk; esa lk>snkj gSa] rks

x dk fuos'k % y dk fuos'k % z dk fuos'k

= x dk ykHk % y dk ykHk % z dk ykHk

= x dh gkfu % y dh gkfu % z z dh gkfu

Eg.1 James, Bond & Rex enter into a partnership investing Rs. 3800,

Rs. 4200 and Rs. 4000 respectively. How should a profit of Rs.

1800 be divided among them?

tSEl] ckWUM vkSj jSDl ,d O;kikj esa lk>snkjh 'kq: djrs gS rFkk Øe'k%

:i;s 3800 :i;s 4200, rFkk :i;s 4000 fuos'k djrs gSA 1800 :i;s

ds ykHk dks muesa fdl izdkj ckaVuk pkfg;s\

(a) 550, 640, 610 (b) 570, 630, 600

(c) 380, 840, 580 (d) 630, 580, 590

Sol. (b)

Classical Approach:

Profit should be divided among the partners in the ratio of their

investments.

∴ The ratio of James, Bond and Rex’s share is:

3800 : 4200 : 4000 = 19 : 21 : 20

Sum of the ratios = 19 + 20 + 21 = 60

James’s share = Rs.1800 19

60= Rs. 570.

Bond's share = Rs.1800 21

60= Rs. 630

Rex’s share = Rs.1800 20

60= Rs. 600

❖ Neon Approach (Thought Process):

Share of James will be a multiple of 19

Option (b) and (c) satisfy.

Gap between James, Rex and Bond, Rex will be same.

Hence, option (b) is correct.

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Eg.2 Three partners Neal, Smith and David invested Rs. 114000 in a

business. At the end of the year Neal got Rs. 337.50, Smith Rs.

1125.00 and David Rs. 675 as profit. How much did each invest?

rhu nksLr uhy] fLeFk rFkk MsfoM us 1,14,000 :i;s dk fuos'k fd;kA

lky ds var esa uhy dks 337-50 :i;s] fLeFk dks 1125.00 :i;s rFkk

MsfoM dks 675 :i;s ykHk ds :i esa feysA izR;sd us fdrus :i;s fuos'k

fd;s Fks\

(a) 28000, 60000, 26000 (b) 21000, 60000, 33000

(c) 18000, 60000, 36000 (d) 15000, 57000, 42000

Sol. (c)

Classical Approach:

Ratio in which each share profits

= 337.5 : 1125 : 675 = 3 : 10 : 6

∴ 1st partner Neal's capital = Rs.

3114000

19 = Rs. 18,000.

2nd partner Smith's capital = Rs.

10114000

19 = Rs. 60,000.

3rd partner David's capital = Rs.

6114000

19 = Rs. 36,000.

Eg.3 James, Robert and John invest Rs. 1000, Rs. 4000 and Rs. 5000

respectively in a business. At the end of the year there was a loss

of 20% of the total initial investment. Calculate the share of loss

of each partner.

tSEl] jkWcVZ vkSj tkWu us 1000 :i;s] 4000 :i;s vkSj 5000 :i;s ,d

O;olk; esa fuos'k fd;sA o"kZ ds var esa dqy izkjafHkd fuos'k dh 20% gkfu

gqbZ rks izR;sd lk>snkj dk gkfu dk 'ks;j Kkr djks\

(a) Rs. 200, Rs. 800, Rs. 1000

(b) Rs. 800, Rs. 200, Rs. 1000

(c) Rs. 900, Rs. 2000, Rs. 800

(d) Rs. 900, Rs. 300, Rs. 1000

(e) Rs. 300, Rs. 900, Rs. 1000

Sol. (a)

Classical Approach:

Total investment = 1000 + 4000 + 5000 = Rs. 10000

Loss = 20% of 10000 = 2000

Now, loss has to be divided in the ratio of

1000 : 4000 : 5000 = 1 : 4 : 5

Now, 1 + 4 + 5 = 10

∴ Share of loss of James = 2000

10×1 = Rs. 200

Share of loss of Robert = 2000

10× 4 = Rs. 800

Share of loss of John = 2000

10× 5 = Rs. 1000

Eg.4 Two partners invested Rs. 1250 and Rs. 850 respectively in a

business; they decided to distribute equally 60% of the profit,

and the remaining in the ratio of their capital. If one receives Rs.

320 more than the other, find the total profit.

nks nksLrksa us ,d O;kikj esas Øe'k% 1250 :i;s rFkk 850 :i;s fuos'k

fd;sA 60% ykHk dks cjkcj ckaVus rFkk 'ks"k Hkkx dks iwath ds fuos'k ds

vuqikr esa ckaVus dk fu'p; fd;kA ;fn ,d dks 320 :i;s nwljs ls

T;knk feyrs gS rks dqy ykHk crkvks\

(a) 4000 (b) 5200 (c) 4200 (d) 4600

Sol. (c)

Classical Approach:

A : B = 25 : 17

Remaining profit (40%) is divided among them in the ratio of

capital.

Using Aryan's ratio

25 17 25 17

320 x

− += x = 1600

40% → 1680, 100% → 4200

Eg.5 A, B and C are partner in a business. B’s capital is 1/6th of the total

and A’s capital is equal to that of B and C's together. how much does

C receive out of a total annual profit of Rs. 2400?

A, B, rFkk C ,d O;kikj esa lk>snkj gSa B, dh iwath 1/6 ¼dqy iwath½ rFkk

A dh iwath (B +C) dh iwath ds cjkcj gS] rks crkvksa C dks fdruk ykHk

feysxkA ;fn dqy ykHk 2400 :- gSA

(a) 2400 (b) 800 (c) 3600 (d) 400

Sol. (b)

Classical Approach:

According to question, =+ +

1

6

B

A B C

=+

1

1

A

B C =

+ +

1

2

A

A B C

Let total capital of A + B + C = Rs 6

Then B = 1, A = 3, C = 2

Their investment Ratio = A : B : C = 3 : 1 : 2

Profit of C = 2

6× 2400 = Rs. 800


Neal : Smith : David = 3 : 10 : 6

Investment of David will be double of Neal.

Only option (c) satisfies.


James : Robert : John = 1 : 4 : 5

Only option (a) is in that order.


A : B = 125 : 85 = 25 : 17

Since 60% is divided between them equally so difference will be created because of the remaining.

8 320

42 40 42=

(AMF = 40)

Now,

40% = 40 × 42

100% = 100 × 42 = 4200

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Eg.6 A and B invest in a business in the ratio of 3: 2. If 5% of the total

profit goes to charity and A’s share is 855. Find the total profit.

A rFkk B us 3 : 2 ds vuqikr esa O;kikj esa fuos'k fd;kA ;fn ykHk dk 5

izfr'kr nku esa ns fn;k rks A dk Hkkx 855 gSA dqy ykHk fdruk gS \

(a) 1425 (b) 1500 (c) 1537.5 (d) 1576

Sol. (b)

Classical Approach:

A : B = 3 : 2 (money invested)

∵ For the same time ratio of money invested and ratio of profit is

same So A's share is 3 → 855, 1 → 285

Total profit 5 × 205 = Rs .1425

Rs. 1425 is 95% of total profit so, 100% of profit is = 1425

19× 20

= 75 × 20 = Rs. 1500

Eg.7 A, B and C subscribe Rs. 47000 for a business. If A subscribes Rs.

7000 more than B and B Rs. 5000 more than C, Then out of total

profit of Rs. 4700, C receives:

A, B vkSj C ,d O;olk; ds fy, 47000 :i;s dh lnL;rk ysrs gSA

;fn A, B ls 7000 :i;s vf/kd vkSj B,C ls 5000 vf/kd yxkrs gS rks

4700 :i;s dk ykHk izkIr djrs gS rks C dks fdruk feysxk\

(a) Rs. 1200 (b) Rs. 4500

(c) Rs. 1000 (d) none of these

Sol. (c)

Classical Approach:

A + B + C = 47000

A B C

12000 + x x + 5000 x

x + x + 5000 + x + 12000 = 47000

3x = 47000 – 17000 3x = 30000 x = 10000

A B C

22000 15000 10000

22 15 10

Amount received by C = 10

470047

= Rs, 1000

➢ Compound partnership (Concept 2) If the capitals of the partners are invested for different periods it

is called a compound partnership.

In the case of a compound partnership, the profit or loss is

divided in the ratio of their Monthly Equivalent Investment.

Monthly Equivalent Investment (MEI) is the product of the

capital invested and the period for which it is invested.

Monthly Equivalent Investment

= Capital Invested × Period of Investment

If the period of investment is different, then the profit or loss is

divided in the ratio of their Monthly Equivalent Investment

Investment of x × Period of Investment of x

Investment of y × Period of Investment of y

=Profit of x

Profit of y=

Lossof x

Lossof y

➢ fefJr lk>snkjh ¼fl)kar 2½

tc lk>snkjksa dh /kujkf'k;ksa dks fofHkUu le; vof/k;ksa ds fy, fuosf'kr

fd;k tkrk gS] rks bls fefJr lk>snkjh dgrs gSaA

fefJr lk>snkjh esa] ykHk ;k gkfu dks muds ekfld lerqY; fuos'k ds

vuqikr esa foHkkftr fd;k tkrk gSA

ekfld lerqY; fuos'k (MEI) fuos'k dh xbZ iwath rFkk fuos'k dh le;

vof/k dk xq.kuQy gSA

ekfld lerqY; fuos'k = fuosf'kr iw¡th × fuos'k dh vof/k

;fn fuos'k dh vof/k vyx&vyx gS] rks ykHk ;k gkfu muds ekfld

lerqY; fuos'k ds vuqikr esa foHkkftr dh tkrh gSA


Since time is same for all A, B and C.

So, ratio of investment will give us ratio of profit.

Since gives 1/6th of capital

Say total capital = 6

So, B gave = 1

Now,

A = B + C

A = 1 + C

Subtracting 1 from sides

A - 1 = 1 + C - 1

A - 1 = C

If we keep 1 share of A aside and 1 shave of B aside

Remaining capital = 4

Now, this 4 will be equally distributed between A and C

So, A get 2

and C gets 2

But we had kept 1 of A aside

Total A gets = 2 + 1 = 3

B = 2

C = 1

Ratio of capital invested = A : B : C = 3 : 2 : 1

Ratio of profit = 3 : 2 : 1

For profit of C

Aryan's ratio

2 800

6 2400

C

Total= = (AMF = 4)


A : B = 3 : 2 = 300 : 200

5% will go from the shares of A and B both

New ratio of A : B = (300 – 15 = 285) : (200 – 10 = 190)

Applying Aryan's ratio

285 500

855 x= x = 1500


B invested 5000 more than C.

A invested 5000 + 7000 = 12000 more than C.

If we subtract 12000 + 5000 = 17000 from 47000. Then the

remaining amount of 30000 will be distributed equally

among them.

A : B : C = 22 : 15 : 10

Amount received by C = 10

470047

= Rs. 1000



x × x

y × y

dk fuos'k d s fuos'k dh le; vof /k

dk fuos'k d s fuo's k dh le; vof /k

x x

y y= =

dk ykHk dh gkfu

dk ykHk dh gkfu

Eg.8 In a partnership deal, A contributes Rs. 3200 for 4 months, B

contributes Rs. 5100 for 3 months and C contributes Rs. 2700 for

5 months. How should they divide a total profit of Rs. 1248

among themselves?

,d lk>snkjh esa A us 3200 :i;s 4 eghus ds fy;s] B us 5100 :i;s 3

eghus ds fy;s vkSj C us 2700 :i;s 5 eghus ds fy;s yxk;sA 1248

:i;s ds dqy ykHk dks os fdl izdkj vkil esa ck¡Vsxs\

(a) 384, 459, 405 (b) 372, 468, 408

(c) 352, 477, 419 (d) 391, 459, 398

Sol. (a)

Classical Approach:

We calculate equivalent capitals for one month:

A’s equivalent capital = Rs. (3200 × 4) = Rs. 12800;

B’s equivalent capital = Rs. (5100 × 3) = Rs. 15300

C’s equivalent capital = Rs. (2700 × 5) = Rs. 13500

∴ The ratio of A, B & C’s share:

= 12800 : 15300 : 13500 = 128 : 153 : 135

Sum of rations = 128 + 153 + 135 = 416

A’s share = Rs. 1248 128

416= Rs. 384;

B’s share = Rs. 1248 153

416= Rs. 49

C’ share = Rs. 1248 135

416= Rs. 405

Eg.9 A and B entered into partnership with capitals in the ratio 4 : 5.

After 3 months, A withdrew 1/4 of his capital and B withdrew

1/5 of his capital. The gain at the end of 10 months was Rs. 760.

A’s share in this profit is:

A o B us ,d lkFk ,d O;kikj esa 4 : 5 esa iSlk yxk;kA 3 eghus ckn A us

vius /ku dk 1/4 Hkkx rFkk B us vius /ku 1/5 Hkkx fudky fy;kA rks

10 eghus ckn dqy 760 #- dk ykHk gqvk rks A dk fgLlk crkvks\

(a) Rs. 330 (b) Rs. 360 (c) Rs. 380 (d) Rs. 430

Sol. (a)

Classical Approach:

A : B = 4 × 3 + 3 × 7 : 5 × 3 + 4 × 7 = 33 : 43

Total profit = 760

A’ share =760

76×33 =Rs.330

Eg.10 A, B, C started a business with their investments in the ratio 1 : 3

: 5. After 4 months, A invested the same amount as before and B

as well as C withdrew half of their investments. The ratio of their

profits at the end of the year is :

A , B o C, 1 : 3 : 5 ds vuqikr esa /ku yxkdj O;kikj izkjaHk djrs gS] 4

eghus ds ckn Hkh A viuk /ku leku j[krk gS] ysfdu B o C viuk vk/kk

/ku fudky ysrs gS] o"kZ ds var esa mudk ykHk dk vuqikr D;k gksxk ?

(a) 1 : 2 : 3 (b) 3 : 4 : 15 (c) 3 : 5 : 10 (d) 5 : 6 : 10

Sol. (d)

Classical Approach:

Upto 4 months

A : B : C

1×4 3×4 5×4

4 12 20

After 4 months

A : B : C

2×8 : 1.5×8 : 2.5×8

16 : 12 : 20

After 1 year

A : B : C

20 : 24 : 40

5 : 6 : 10

Eg.11 A began a business with Rs. 85,000. He was joined afterwards by

B with Rs. 42,500. For how much period does B join, If the profits

at the end of the year are divided in the ratio of 3 : 1 ?

A us ,d O;kikj 'kq# fd;k 85000 #- B us 42500 #- yxkdj O;kikj esa

dqN efgus ckn 'kkfey gqvkA o"kZ ds var esa ykHk dk vuqikr 3 : 1 gS rks

crkvks B us fdrus efgus rd O;kikj esa iSlk yxk;k\

(a) 4 months (b) 5 months (c) 6 months (d) 8 months

Sol. (d)

Classical Approach:

A : B

Money 2 : 1

Time 12 : x

Profit 24 : x

3 : 1

So, 24 x

3 1= x = 8 months

Eg.12 A, B and C start a business. If the ratio of their periods of

investments are 2 : 3 : 6 and their profits are in the ratio of 4 : 5 :

6, then the ratio of capitals of A, B and C is


A : B : C = 128 : 153 : 135

Share of C will be multiple of 5

Only option (a) satisfies.


A : B = 33 : 43

Share of A will be multiple of 11



A : B

Investment 2 : 1

Time 12 :

Profit 3 : 1

Increase in amount of A is 50%.

But B receives same amount because he stayed for 33.33%

less time.

i.e. 1

3 × 12 = 4

So, he stayed for 12 – 4 = 8 months

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A, B, C us ,d O;kikj 'kq# fd;kA ;fn muds le; dk vuqikr 2 : 3 : 6

vkSj muds ykHk dk vuqikr 4 : 5 : 6 gks rc A, B o C ds /ku dk vuqikr

Kkr djksA

(a) Rs. 6 : 8 : 10 (b) Rs. 12 : 10 : 6

(c) Rs. 10 : 12 : 6 (d) Rs. 6 : 5 : 3

Sol. (d)

Classical Approach:

A : B : C

Time 2 : 3 : 6

Profit 4 : 5 : 6

Capital 4

2 :

5

3 :

6

6

2 : 5

3 : 1

6 : 5 : 3

Eg.13 Three partners invested capitals in the ratio 2 : 7 : 9. The time period

for which each of them invested was in the ratio of the reciprocals of

the amount invested. Find the share of the partner who brought in the

highest capital, if the profit is Rs. 1080.

rhu lk>snkj viuk /ku 2 : 7 : 9 ds vuqikr esa viuk /ku yxkrs gS ftrus

le; ds fy, os yksx viuk /ku yxkrs gS og muds }kjk yxkbZ xbZ iwath

ds O;qRØekuqikrh gSA ;fn dqy ykHk 1080 gS rks mldk fgLlk Kkr djks

ftlus lcls vf/kd /ku yxk;k gks\

(a) Rs. 120 (b) Rs. 360 (c) Rs. 540 (d) Rs. 420

Sol. (b)

Classical Approach:

Their investment ratio A : B: C = 2 : 7 : 9

Their time ratio = A : B : C = 1 1 1

: :2 7 9

= 63 18 14

: :126 126 126

= 63 : 18 : 14

Profit ratio A : B : C = 63 × 2 : 7 × 18 : 14 × 9

= 63 : 63 : 63 = 1 : 1 : 1

Share of highest capital partner = 1

3× 1080 = Rs. 360

Eg.14 A and B are two partners and they started a business by investing

a capital 75000 and 105000 and decided to share their profit

according to their capital. But C joins the business on a condition

that they will distribute the profit equally in 1:1:1 and for that C

gives 440000 to A and B. Find in what ratio A and B will distribute

they that amount and how much will B get?

A vkSj B Øe’k% 75000 :- vkSj 1,05,000 :- yxkdj fuos’k dj ,d

O;kikj izkjaHk djrs gSA vkSj ykHk dks vius fuos’k ds vuqikr ckaVus dk

fuf’pr djrs gSA ysfdu C O;olk; dks bl 'krZ ij 'kkfey gksrk gS fd

ykHk A, B vkSj C esa 1 : 1 : 1 esa foHkkftr gksxk vkSj blds fy, og mu

nksuksa dks 4,40,000 :- nsrk gSA A vkSj B bl /kujkf’k dks fdl vuqikr

esa ckaVsaxs vkSj B dks fdruk /ku feysxk\

(a) 3 : 1, 110000 (b) 1 : 3, 330000

(c) 1 : 3, 110000 (d) 3 : 1, 330000

Sol. (d)

Classical Approach:

A : B : C

Initial 5 : 7 : 0

Final 4 : 4 : 4

(5 – 4 = 1) : (7 – 4 = 3)

To distribute the profit in 1 : 1 : 1

A and B will have to reduce their capital in 1 : 3

Hence, they will share the money given by C in 1 : 3

∴ 4 = 440000, 1 = 110000 ∴ B will get = 330000

➢ Rent Sharing (Concept 3) When two or more persons take a place for rent. Then the

amount of rent is shared according to the multiplication of time

for which the place has been used and number of animals, things

etc. accommodated in the place.

➢ fdjk;s esa fgLlsnkjh ¼fl)kar 3½

tc nks ;k nks ls vf/kd O;fä fdjk, ij txg ysrs gSaA rks fdjk;s dks

txg ds mi;ksx ds le; rFkk txg ij j[ks tkuojksa] phtksa dh la[;k

ds xq.kuQy ds vuqikr esa ck¡Vk tkrk gSA

Eg.15 Three persons A, B, C rent the grazing of a park for Rs. 570. A puts

126 oxen in the park for 3 months, B puts in 162 oxen for 5

months and C puts in 216 oxen for 4 months. What part of the

rent should each person pay?

A, B rFkk C rhu O;fDr ,d pkjkxkg 570 :- fdjk;s ij ysrs gSA A 126

cSy 3 eghus ds fy,] B 162 cSy 5 eghus ds fy, rFkk C 216 cSy 4 eghus

ds fy, pjkrs gSA izR;sd vkneh fdruk Hkqxrku djrk gS\

(a) 105, 240, 225 (b) 105, 225, 240

(c) 126, 205, 239 (d) 126, 239, 205

Sol. (b)

Classical Approach:

Monthly Equivalent Investment of A = 126 × 3 = 378

Monthly Equivalent Investment of B = 162 × 5 = 810

Monthly Equivalent Investment of C = 216 × 4 = 864

∴ Rent is to be divided in the ratio 378 : 810 : 864, i.e., 7 : 15 : 16

∴ A would have to pay =+ +

7 7

7 15 16 38of the rent=105

∴B would have to pay 15

38of the rent = 225

∴ C would have to pay 16

38i.e.,

8

19of the rent = 240

❖ Neon Approach:(Thought Process)

Ratio of profit = Investment × time

Since time is reciprocal of investment


Share of each = 1

3 × 1080 = 360


Argument 1:

A = 126 × 3, B = 162 × 5, C = 216 × 4

Clearly the value of C will be highest so, option (a) and (d)

eliminated.

Argument 2:

In option (c) prime number 239 is present but value of C

does not have 239 in its multiplication i.e. 216 × 4

So, option (c) is eliminated.



Ex.16 X, Y and Z subscribe to a canteen in 'Neon Town'. X ordered 3

meals/day for all 31 days of the month. Y ordered 2 meals/day

for whole month, except for 1 week. Z stayed in the town only for

15 days and ordered 1 meal/day during his stay. At the end of the

month, they got a bill of Rs. 20,800. Find out the share of X.

x, y rFkk z us fuvkWu Vkmu esa ,d dSUVhu esa fgLlk fy;kA x us eghus ds

izR;sd 31 fnu rd izfrfnu 3 [kkus dk vkWMZj fn;kA y us iwjs eghus izR;sd

fnu] dsoy 1 lIrkg NksM+dj 2 [kkus dk vkWMZj fn;kA z dLcs esa dsoy

15 fnu gh jgk vkSj rc rd izR;sd fnu 1 [kkus dk vkWMZj fd;kA eghus

ds var esa mUgsa 20,800 :i;s dk fcy vk;kA x dk fgLlk crkb;s\

(a) 9300 (b) 13300 (c) 10600 (d) 12400

Sol. (d)

Classical Approach:

Ratio of expense sharing

= (3 × 31) : (2 × 24) : (1 × 15) = 31 : 16 : 5

X's share =

31

52× 20,800 = Rs. 12,400

Neon Argument:

Share of X will be multiple of 31.

Option (a) and (d) satisfy.

Digit sum of our answer is 7.

Hence, (d) is correct.

Eg.17 Four milkmen rented a pasture., A put to graze 16 cows for 3

months. B 20 cows for 4 months, C 18 cows for 6 months and D

42 cows for 2 months. If A’s share of rent be Rs. 2400, the rent

paid by C is:

pkj nw?kokys ,d pkjkxkg fdjk;s ij ysrs gS A, 16 xk;s 3 ekg B, 20 xk;s

4 ekg C 18 xk;s 6 ekg D, 42 xk;s 2 ekg ds fy;s pjkrk gS] A ds fdjk;s

dk fgLlk 2400 :- rks C ds }kjk Hkqxrku fd;k x;kA

(a) Rs. 3200 (b) Rs. 4200 (c) Rs. 4000 (d) Rs. 5400

Sol. (d)

Classical Approach:

A : B : C : D

16×3 : 20×4 : 18×6 : 42×2

12 : 20 : 27 : 21

A B C D

Rent Ratio 12 20 27 21

2400 5400 2× 2×

Rent of C = 5400 Rs.

➢ Types of Partners (Concept 4) There are two types of partners

Working Partner A partner who manages the business is called a working partner.

He is paid remuneration for managing the business.

Forms of remuneration:

• Salary

• Commission on turn over

• Share in the profit

Sleeping Partner A partner who just invests the money but does not manage is

called a sleeping partner. The managing partner's remuneration

is paid first from the annual profit and the balance profit is

distributed among the partners as per the investment ratio.

➢ lk>snkj ds çdkj ¼fl)kar 4½

lk>snkj nks çdkj ds gksrs gSa

lfØ; lk>snkj

og lk>snkj tks O;olk; dk çca/ku djrk gS mls lfØ; lk>snkj dgk

tkrk gSA mUgsa O;olk; ds çca/ku ds fy, ikfjJfed fn;k tkrk gSA

ikfjJfed ds :i%

• osru

• VuZ vksoj ij deh'ku

• ykHk esa fgLlk

fuf"Ø; lk>snkj

og lk>snkj tks flQZ iSls dk fuos'k djrk gS] ysfdu çca/ku ugha djrk]

mls fuf"Ø; lk>snkj dgk tkrk gSA lfØ; lk>snkj ds ikfjJfed dk

Hkqxrku igys okf"kZd ykHk ls fd;k tkrk gS vkSj 'ks"k ykHk dks fuos'k ds

vuqikr ds vuqlkj lk>snkjksa ds chp ck¡Vk tkrk gSA

Eg.18 John, Robert and Hector enter into a partnership by investing

1500, 2500 and 3000 rupees respectively. John, as manager gets

one-tenth of the total profit and the remaining profit is divided

among the three in the ratio of their investment. If John’s total

share is Rs. 369, find the shares of Robert and Hector.

tkWu] jkWcVZ vkSj gSDVj us Øe'k% 1500] 2500 rFkk 3000 :i;s yxkdj

,d O;kikj 'kq: fd;kA tkWu dks eSustj gksus ds dkj.k dqy ykHk dk

1@10 Hkkx feyrk gS rFkk 'ks"k Hkkx rhukas esa caV tkrk gSA ;fn tkWu dk

dqy Hkkx 369 :i;s gS rks jkWcVZ rFkk gSDVj dk Hkkx Kkr djks\

(a) 405, 486 (b) 486, 405 (c) 582, 395 (d) 395, 582

Sol. (a)

Classical Approach:

John : Robert : Hector = 15 : 25 : 30 = 3 : 5 : 6

Let total profit = x

John's share = 0.1x +3

14× 0.9x = 369

4.1 x = 369 × 14 ⇒ x = 1260

Robert's share = 5

14× 1260 × 0.9 = 405

Hector's share = 6

14× 1260 × 0.9 = 486

Ex.19 A, B and C enter into a partnership in a business with capitals of

Rs. 5000, Rs. 6000 and Rs. 4000 respectively. A gets 30% of the

profit for managing the business and balance is divided in

proportion to their capitals. At the end of the year, A gets Rs. 200

more than B and C together. Find the total profit.

A, B rFkk C Øe'k% 5000] 6000 rFkk 4000 :i;s jkf'k yxkdj ,d

O;kikj esa lk>snkjh djrs gSA A ykHk dk 30 izfr'kr O;kikj dks O;ofLFkr

djus gsrq ysrk gS rFkk ykHk muds }kjk fuos'k dh x;h jkf'k ds vuqikr

esa caV tkrk gSA ;fn A dks B+C ls 200 :i;s vf/kd izkIr gksrs gS] rks

dqy ykHk fdruk gS \

(a) 3100 (b) 3300 (c) 3200 (d) 3000


Ratio of Robert and Hector's share will be 5 : 6.


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Sol. (d)

Classical Approach:

A : B : C = 5: 6: 4

Suppose total profit = 300

A’s salary = 300 × 30

100= 90

Remaining = 210

A’s share = 5 ×210

15= 70

B’s and C’s share = 210 – 70 = 140

So, difference in A’s and (B + C)’s salary

= (90 + 70) –140 = 20 ⟶ 200

So, 300 ⟶ 200

20× 300 = 3000

Eg.20 A and B invests Rs. 15000 and Rs. 18000 in a business. A receives

Rs.54 per month out of the profit as a rumination for running the

business and the rest of the profit is divided between them. If in

a year A totally receives 948, what is the total profit?

A vkSj B ,d O;olk; esa 15000 :- vkSj 18000 :- dk fuos’k djrs gSA

A O;olk; pykus ds fy, ykHk esa ls izfr ekg 54 :- izkIr djrk gSa vkSj

'ks"k ykHk muds chp esa ckaVk tkrk gSA ;fn A ,d o"kZ esa dqy 948 :-

izkIr djrk gSa rks dqy ykHk D;k gS \

(a) 1208 (b) 1460 (c) 1308 (d) 1008

Sol. (c)

Classical Approach:

A : B = 15000 : 18000 5 : 6 A receives = 12 × 54 = Rs. 648

A’s share in remaining profit = 948 – 648 = Rs. 300

∴ B’s share = 6 × 60 = 360

∴ Total profit = 300 + 360 + 648 = 1308

Ex.21 James, Rex and David started a business with an investment of

Rs. 12 lacs, 8 lacs and 5 lacs respectively. James and Rex are also

working as CEO and Director and get paid a fixed monthly salary

of Rs. 37,000 and 28,000 respectively out of total profit. Find out

David's earnings out of a profit of 21 lacs at the end of the year.

tSEl] jSDl vkSj MsfoM us Øe'k% 12 yk[k] 8 yk[k rFkk 5 yk[k :i;s

yxk O;kikj 'kq: fd;kA tSEl vkSj jSDl Øe'k% CEO rFkk Mk;jsDVj ds

:i esa dke dj jgs gS rFkk dqy ykHk esa ls mUgsa izfr efgus Øe'k% 37000

rFkk 28000 :i;s dk osru fey jgk gSA o"kZ ds var esa 21 yk[k ds ykHk

esa ls MsfoM dk fgLlk Kkr djsa\

(a) 276000 (b) 268000 (c) 264000 (d) 255000

Sol. (c)

Classical Approach:

Total profit = 21 lacs

Yearly salary of James = 37,000 × 12 = 4,44,000

Yearly salary of Rex = 28,000 × 12 = 3,36,000

Remaining profit after deduction of salaries

= 21 - (4.44 + 3.36) = 21 - 7.8 = 13.2 lacs

James : Rex : David = 12 : 8 : 5

David's share =

5

25× 13.2 = Rs. 2,64,000

Neon Argument:

We can see 11 in 132 but there is no 11 in 5/25 so, our answer

will contain 11.

Only one option (c)

Eg.22 A and B enter into partnership. A supplies whole of the capital

amounting to Rs. 45000 with the condition that the profits to be

equally divided and that B pays A interest on half of the capital at

10% per annum, but receives Rs. 120 per month for carrying on

the concern. Find their total yearly profit when B's income is one

half of A's income.

A vkSj B lk>snkjh esa O;olk; izkjEHk djrs gSA A O;olk; esa laiw.kZ jkf’k

45000 :- bl 'krZ ij yxkrk gSA fd ykHk nksuksa esa cjkcj ckaVk tk,xk

vkSj B, A dks laiw.kZ jkf’k ds vk/ks ij 10% okf"kZd dh nj ls C;kt

pqdk;sxkA B ,120 :- izfr ekg O;olk; dks pykus ds fy, ykHk esa ls

ysrk gSA ;fn B dh vk;] A dh vk; dk vk/kk gks rks mudk okf"kZd ykHk

D;k gksxk\

(a) 8180 (b) 7180 (c) 9180 (d) 10180

Sol. (c)

Let total profit be x

Amount paid to B as salary = 120 × 12 = 1440

Share of each = −1440

2

x

Interest paid by B = 22500 10

100= 2250

Total money received by A = −1440

2

x+ 2250 =

+3060

2

x

∴ Total money received by B = −1440

2

x+ 1440 – 2250

=−3060

2

x

1

2-x

+ − − −

1 3060 3060

2 2 2

x x x = 9180


Original ratio of A : B : C = 5 : 6 : 4

But A takes 30% share of B as well as C. So, let us give this 30%

from this ratio.

A : B : C

5 : 6 : 4

+18 : –1.8 : –1.2

+1.2

New ratio is,

A : B : C

8 : 4.2 : 2.8

Now, total A gets = 8

Total of B and C = 4.2 + 2.8 = 7

1 → 200

Total = 15 → 3000

So, total profit = Rs. 3000


B pays to A = 45000 10

2 100 = 2250

Difference between A's and B's income = 2250 × 2 = 4500

But B get salary = 120 × 12 = 1440

So, this difference will reduce to 4500 - 1440 = 3060

Now, ratio of profit A : B = 2 : 1

1 → 3060

3 → 9180



Eg.23 James, Bond and Alice started a business by investing in the ratio

of 4 : 7 : 9. After 5 months, James invested Rs. 15000 more and

after 9 months, Bond invested Rs. 10000 more. At the end of the

year, their profits are in the ratio of 39 : 58 : 72. Find the initial

investment of Bond?

tsEl] ckWUM o ,fyl ,d O;kikj izkjEHk djrs gSA 4 : 7 : 9 ds vuqikr esa

iwath yxkdj 5 efgus ckn tsEl 15000 vksj yxkrk gSA rFkk 9 efgus

ckn ckWUM 10000 vksj yxkrk gS ;fn o"kZ ds var esa mudk ykHk 39 : 58

: 72 esa gS rks ckWUM dh vkjfEHkd iwath crkvks\

(a) Rs. 65000 (b) Rs. 72000 (c) Rs. 78000 (d) Rs. 70000

Sol. (d)

Their profit ratio James : Bond : Alice

4x × 5 + (4x + 15000) 7 : 7x × 4 + (7x +10000) × 8 : 9x × 12

20x +28x + 105000 : 28x + 56x + 80000 : 9x× 12

There for, + +

=

20 28 105000 39

12 9 72

x x

x

+

=

48 105000 39

12 9 72

x

x⇒x = 10000

So, Initial investment of Bond = 7x = 70000

Eg.24 A business has four working partners and twelve sleeping

partners. After paying equal commitments to the working

partners. 80% of the profit remains and it is shared among all the

partners. If each working partners gets a total of 12000. Find his

commission.

,d O;kikj esa 4 lfØ; Hkkxhnkj rFkk 12 fuf"Ø; Hkkxhnkj gSA lfØ;

Hkkxhnkjh dks cjkcj fgLlk nsus ds ckn 'ks"k 80 izfr'kr ykHk lHkh Hkkxhnkjksa

dks ckaV fn;k tkrk gSA ;fn izR;sd lfØ; Hkkxhnkj dks 12000 :i;s

izkIr gksrs gSA mldk deh'ku fdruk gS \

(a) 4000 (b) 5500 (c) 6000 (d) 6500

Sol. (c)

Working partner gets = +20% 80%

4 16 =10%

So, 10% ⟶ 12000

5% ⟶ 6000

Eg.25 A and B are partners who share profit and loss in the ratio of 3:2,

They agree to take C into partnership of 1/4th share of profit. The

new profit sharing ratio will be:

A rFkk B nks lk>snkj gSa] tks ykHk vkSj gkfu dks vkil esa 3 : 2 esa ck¡Vrs gSaA os C dks Hkh lk>snkjh esa 1/4 ykHkka’k ij ysus dks jkth gks tkrs gSa] rks

ykHkka’k dk u;k vuqikr D;k gksxk\

(a) 9:6:5 (b) 5:6:9 (c) 6:5:9 (d) 9:5:6

Sol. (a)

A : B

3 : 2

12 : 8

Total profit = 20

C will get = 20 × 1

4 = 5

Remaining 20 – 5 = 15 will be distributed in 3 : 2

A will get A and B will get 6

So, new ratio of A : B : C = 9 : 6 : 5


Since they gave 25% of C

So, remaining 75% will be distributed between A and B in the

ratio 3 : 2

75%

in 3 : 2

45 and 30

So,

A B C

45 30 25

9 : 6 : 5

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1. Three persons A, B and C enter into a partnership. A invests three

times as much as B while B invests two third of what C invests. At the

end of the year, the profit earned is Rs.6600. What is the share of B?

rhu O;fDr A, B o C ,d lk>snkjh esa gSaA A, B ls rhu xquk fuos'k djrk

gS tcfd B, C dk nks frgkbZ fuos'k djrk gSA o"kZ ds var esa] dek;k x;k

ykHk 6600 :- gSA B dk fgLlk fdruk gS \

(a) Rs. 1200 (c) Rs. 1800 (b) Rs. 1500 (d) Rs. 2100

1. (a)

Classical Approach:

Let the investment of C be 3x, and therefore

the investment of B will be 2x while that of A will be 6x.

The profit will get divided between A, B and C in the ratio 6:2:3

The share of B will be = 2

11× 6600 = Rs.1200

Alternatively:

A : B : C

6 : 2 : 3

Share of B = 2

660011

= RS. 1200

2. If A, B, C and D start a business. The amount invested by A and B

are in the ratio 1: 2, B and C is 2: 3 and C and D is 4: 5.If the profit

earned at the end of the year is 780. Find the profit earned by B.

A, B, C rFkk D us ,d O;kikj izkjaHk fd;kA A rFkk B }kjk fuos'k dh xbZ

jkf'k dk vuqikr 1 : 2] B rFkk C }kjk 2 : 3 rFkk C ,oa D }kjk 4 : 5 gSA

;fn o"kZ ds var esa 780 :i;s ykHk dek;k rks B us fdruk ykHk dek;k\

(a) 140 (b) 160 (c) 180 (d) 190

2. (b)

Classical Approach:

A: B = 1 : 2, B: C = 2 : 3, C: D = 4 : 5

A: B : C : D = 1 × 2 × 4 : 2 × 2 × 4 : 2 × 3 × 4 : 2 × 3 × 5

= 8 : 16 : 24 : 30 = 4 : 8 : 12 : 15

So, 4 + 8 + 12 + 15 = 39 ⟶ 780 ⇒ 1 ⟶ 780

39= 20

Profit of B = 20 × 8 = 160

3. James, Bond and Alice became partners in a business by investing

money in the ratio of 5 : 7 : 6. Next year, they increased it by 26%,

20% and 15%, respectively. In what ratio earned profit would be

distributed in 2nd year?

tsEl ckWUM o ,fyl O;kikj esa 5 : 7 : 6 ds vuqikr esa iwath yxkrs gSA vxys

o"kZ os Øe’k% 26%, 20% rFkk 15% viuh iwath c<+k nsrs gS rks crkvks nwljs

lky mudk ykHk fdl vuqikr esa ckaVk tk,xk\

(a) 20 : 21 : 36 (b) 28 : 21 : 36

(c) 63 : 28 : 36 (d) 21 : 28 : 23

3. (d)

Classical Approach:

Their investment ratio 5 : 7 : 6

Let, James is capital = 500 Bond = 700, Alice = 600

In two year their in 2 year

= 500 ×26

100 : 700 ×

120

100 : 600 ×

115

100

= 630 : 840 : 690 21 : 28 : 23

4. A, B, C subscribe Rs. 50,000 for a business A subscribes Rs. 4000

more than B and B Rs. 5000 more than C. Out of a total profit of

Rs. 35,000, A receives.

A, B, C 5000 #- esa- dksbZ O;kikj 'kq# djrs gSA A , B ls 4000 #- T;knk

B, C ls 5000 #- T;knk iSlk yxkrk gS ;fn dqy ykHk 35000 #- gS A dk

fgLlk crkvks ?

(a) Rs. 8400 (b) Rs. 11,900 (c) Rs. 13,600 (d) Rs. 14,700

4. (d)

Classical Approach:

As per question

B invest 5000 more than C

A invest 4000 more than B means

A invest 9000 more than C

If we reduce extra amount = 5000 + 9000 = 14000

the remaining amount is invested in 1 : 1 : 1 ratio so each invest

36000

3 = Rs. 12000

If we add that amount then investment is

A : B : C

21000 : 17000 : 12000

21 : 17 : 12

Total profit = 35000

A’s share = 35000

50× 21 = Rs. 14700

❖ Neon Approach (Thought Process): Since A : B : C : D = 4 : 8 : 12 : 15

So, share of B will be a multiple of 8. only option (b) satisfies.


We can directly increase ratio by these percentages to get new ratio.

5 : 7 : 6

+26% +20% +15%

6.3 : 8.4 : 6.9

63 : 84 : 69

21 : 28 : 23

Worked-Out Problems

Application of Concepts



5. Devdoot is a working partner of a business. He gets as his

commission 10% of the profits left after his commission is paid.

If the working partner’s commission is Rs. 30,000, find the total

profit.

nsonwr ,d O;olk; dk ,d lfØ; lk>snkj gSA mldk deh'ku 'kq+) ykHk

¼dqy ykHk & deh'ku½ dk 10% gSA ;fn lfØ; lk>snkj dk deh'ku

30]000 :i;s gS rks dqy ykHk Kkr djks\

(a) 3,30,000 (b) 3,00,000 (c) 2,70,000

(d) Can’t be determined

(e) None of these

5. (a)

Classical Approach:

Suppose the total profit is Z.

∴ The profit left after Devdoot's commission of Rs. 30,000 is paid

= (Z - 30,000).

10% of this is the working partner's commission.

So, (0.1) (Z - 30,000) = 30,000 ⇒ 0.1Z = 33,000

∴ Z = Rs. 3,30,000.

6. A, B and C started a business each investing Rs. 10000. After 4-

month A withdraws Rs. 3000, B withdraws Rs. 4000, C invest Rs.

3000 more. At the end of the years, a total profit was Rs. 32800.

Find the share of C.

A, B rFkk C us izR;sd us 10,000 #- dk fuos’k djds O;olk; 'kq# fd;kA

4 efgus ds ckn A us 300 #- o B us 4000 #- fudky fy, rFkk C us 3000

#- vkSj yxk fn,A ;fn lky ds var esa dqy ykHk 32800 #- gks rks C dk

fgLlk D;k gksxk ?

(a) Rs. 10000 (b) Rs. 14400 (c) Rs. 17600 (d) Rs. 19200

6. (b)

Classical Approach:

Total investment ratio of A, B, C in one year

A = 10000× 4 + 7000 × 8 ⇒ 40 + 56 = 96

B = 10000 × 4 + 6000 ×8 ⇒ 40 + 48 = 88

C = 10000 × 4 + 13000 × 8 ⇒ 40 + 104 = 144

96 : 88 : 144

Share of = 144

328× 32800 = Rs. 14400

7. A and B run a business in a certain year. The salary of A turns out

to be equal to 20% of the balance of the profit left after his salary

was paid. If A finally received a total of 35000 after splitting the

remaining profit equally between the two. Find the profit made

in that year.

A rFkk B us fuf'pr o"kksZ rd ,d O;kikj pyk;kA ;fn A dh ru[okg

ykHk esa ru[okg fudky yssus ds i'pkr~ cph jkf'k ds 20 izfr'kr ds

cjkcj gSA cps gq, ykHk dks nks cjkcj Hkkxksa esa ckaV ysus ds i'pkr~ A dks

dqy 35000 :i;s izkIr gksrs gSA dqy ykHk fdruk gs \

(a) 40000 (b) 50000 (c) 60000 (d) 70000

7. (c)

Classical Approach:

Let salary of A = x

Total Profit = P

x = 20% of (P – x)

x = 1

5(P – x) P = 6x …..(1)

A’s share = x + −

2

P x= 35000

x + −6

2

x x= 35000 x +

5

2

x= 35000

⇒ 7

2

x= 35000 x = 10000

Total profit = 6x = 60000

8. James received Rs. 30000 as his share out of the total profit of Rs.

45000 which he and Bond earned at the end of one year. If James

invested Rs. 60000 for 6 months, whereas Bond invested his

amount for the whole year, what was the amount invest by Bond?

tSEl dks 45000 #- esa ls 30000 #- ykHk feykA tks fd tSEl rFkk ckWUM

}kjk ,d lky esa dek;k x;k FkkA ;fn tSEl 60000 #- 6 eghus ds fy,

bUosLV djrk gS rFkk ckWUM iwjs lky ds fy, buosLV djrk gS] rks ckWUM

}kjk bUosLV dh xbZ jkf'k Kkr djsa\

(a) Rs. 12000 (b) Rs. 15000 (c) Rs. 18000 (d) Rs. 50000

8. (b)

Classical Approach:

Money invested,

James : Bond

60,000 : P

6 : 12


10% = 1 Commission

10 Profit left after commission is paid=

Total profit = 10 + 1 = 11


=1 11

30000 x x = 330000


30,000 is 10% of the remaining amount

So, if 30,000 is added to the remaining amount we'll get a total amount

Now, 3,000 will be 9.09% of the total amount i.e. 1/11

Aryan's ratio

1 30,000

11 3,30,000=

Total amount = 3,30,000


A : B : C = 12 : 11 : 18

Share of C will be a multiple of 9. Only option (b) satisfies.


20% = 1 Salary of A

5 Profit left after salary is paid=

Total profit = 5 + 1 = 6

A will get 1 + 5/2 = 3.5

B will get 6 – 3.5 = 2.5


3.5 6

35000 x= x = 60,000

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60000× 6 : P ×12

30000 : P

30000

P =

30000

15000 =

2

1

30,000 = 2P 15000 = P

So, the money invested By Bond is 15000 for 12 months

9. A, B and C are partners in a business. A, whose money has been

used for 4 months, claims 1

8of the profit. B, whose money has

been used for 6 months, claims1

3of the profit. C had invested Rs

1560 for 6 months. How much money did A and B contribute?

A, B rFkk C ,d O;kikj esa lk>snkj gSA A ftldk /ku 4 eghus ds fy,

mi;ksx esa fy;k x;k] ykHk dk 1

8Hkkx izkIr djrk gSA B ftldk /ku 6

eghus ds fy, mi;ksx esa fy;k x;k dks 1

3ykHk izkIr gksrk gSA C us 1560

:i;s 6 eghus ds fy, fuos'k fd;sA A rFkk B us fdruk fuos'k fd;kA

(a) Rs. 540, Rs. 960 (b) Rs. 480, Rs. 720

(c) Rs. 840, Rs. 1120 (d) Rs. 720, Rs. 1080

9. (a)

Classical Approach:

C's profit = 1 - +

1 1

8 3=

13

24

Let A and B invested Rs. x and Rs. y respectively

A : B : C

x×4 : y×6 : 1560 × 6

1

8 :

1

3 :

13

24

⇒ x × 4 : y × 6 : 1560 × 6

3 : 8 : 13

Now

=4 1560 6

3 13

x ⇒ x = Rs. 540

and

=6 1560 6

8 13

y⇒ y = Rs. 960

10. A, B and C are partners. A receives 9/10 of the profit and B and C

share the remaining profit equally. A’s income is increased by Rs.

270 when the profit rises from 12% to 15%. Find the capital

invested by B and C each

A, B o C lk>snkj gSA A ykHk dk 9/10 Hkkx izkIr djrk gS rFkk B o C cps ykHk

dks cjkcj ckaV ysrs gSA tc ykHk 12% ls c<dj 15% gks tkrk gS rks A dh

vk; 270: c< tkrh gSA B o C izR;sd }kjk fuos’k dh xbZ iw¡th Kkr djksA

(a) Rs. 5000 (b) Rs. 1000 (c) Rs. 500 (d) Rs. 1500

10. (c)

Classical Approach:

Let Total profit = x Profit of A = 9x/10

Remaining profit = x/10

Profit of B = x/20 Profit of C = x/20

Ratio of profit = 9 1 1

: :10 20 20

= 18 : 1 : 1

A’s income is increased by Rs. 270. When profit rises 3%

Investment of A = 270/3 × 100 = Rs. 9000

If investment of A, B and C =18x, x and x

18x = 9000 x = 500

B's investment = Rs. 500, C's investment = Rs. 500

Alternatively:

3% means 3

100

of A is 270.

B will get 0.5

9 of A


3 0.5

100 9270 x

= x = 500

11. Three persons James, Alice and Bond agree to pay their hotel bills

in the ratio 3 : 4 : 5. James pays the first day’s bill which amounts

to Rs. 26.65, Alice pays the second days bill which amounts to Rs.

42.75 and Bond pays the third day’s bill which amounts to Rs.

53.00. When they settle their accounts, which of the following

happens?

rhu O;fDr tSEl] ,fyl rFkk ckWUM gksVy ds fcy dk Hkqxrku 3 : 4 : 5

vuqikr esa djus ds fy;s lger gksrs gS igys fnu tSEl 26-65 :- ds

fcy dk Hkqxrku djrk gS] nsljs fnu ,sfyl 42-75 :- ds fcy dk Hkqxrku

djrh gS] rhljs fnu ckaM+ 53-00 :- ds fcy dk Hkqxrku djrk gSA

(a) James gives Rs. 3 to C

(b) Alice gives Rs. 2 to James

(c) James gives Alice Rs. 1.95 and Rs. 2 to Bond

(d) none of the above

11. (c)

Classical Approach:


Ratio of profit of James : Bond = 2 : 1

James invested 60000 for 6 months

He invested 30000 for 1 year so, Bond invested 15000 for 1 year


A : B : C

Profit 3 : 8 : 13

Time 2 : 3 : 3

Capital 3

2 :

8

3 :

13

3

9 : 16 : 26

Capital of C is slightly less than three times the capital of A

Option (a) 540 × 3 = 1620 and 1560 is less than 1620

Hence, option (a) is correct.


Since A takes 9/10

So, remaining = 1/10

This is equally shared between B and C

So, each gets 1/20 and 1/20

A : B : C = 18 : 1 : 1

Now, 3% of A's income = 270

100% of A's income = 9000

Aryan's ratio

18 9000

1 500=

B's investment = 500



Total Bill = 26.65 + 42.75 + 53 = 122.40 Rs.

Divide bill = James Alice Bond

3 4 5 = 12

30.6 40.8 51 122.40

×10.2 ×10.2 ×10.2 ×10.2

James : Alice : Bond

Decided bill → 30.6 40.8 51

Paid Bill → 26.65 42.75 53

+1.95 +2

Have James gives Alice Rs. 1.95 and Rs. 2 to Bond

12. A, B, C starts a partnership. The capital of A, B, C are in the ratio

of 10 : 9 : 6, and the time period of A : B is in the ratio of 2 : 3. B

gets 10,800 shares out of a total profit of 26,000. If A’s capital was

in the business for 8 months, for how many months was C’s

capital there?

A, B, C ,d lka>k O;kikj djrs gSA A, B, C ds }kjk /ku Øe’k% 10 : 9 : 6

ds vuqikr esa yxk;kA A o B ds le; dk vuqikr 2 : 3 gSA B dks 10800

:i;s dk ykHk gqvk dqy ykHk 26000 esa lsA ;fn A ds }kjk /ku 8 efgus

ds fy, yxk;k x;k gSA rks crkvksa C ds }kjk fdrus efgus ds fy, iwath

fuos’k dh xbZ gSA

(a) 24 (b) 14 (c) 12 (d) 8

12. (c)

Classical Approach:

Their investment ratio

A : B : C = 10 : 9 : 6

Time period ratio of A and B = A : B = 2 : 3

But A’s capital was in the business for 8 month Hence B’s capital

in the business = 3 × 4 = 12 month

Let C’s capital was in the business for y month

Then their profit ratio

A : B : C = 10 × 8 : 9 × 12 : 6 × y 80 : 108 : 6y

Hence, +

108

188 6 y× 26000 = 10800 y = 12 months

13. A & B enter into a speculation. A puts in Rs. 50 and B puts in Rs.

45. At the end of 4 months A withdraws half his capital and at the

end of 6 months B withdraws half of his capital. C then enters

with a capitals of Rs. 70. At the end of 12 months in what ratio

will the net profit be divided?

A vkSj B us ,d lk>snkjh dhA A us 50 :i;s vkSj B us 45 :i;s yxk;sA

4 eghus ds var ij A us viuh vk/kh jkf'k fudky yh vkSj 6 eghus ds

var ij B us viuh vk/kh jkf'k fudky yhA blds ckn C, 70 :i;s ds

lkFk 'kkfey gqvkA lky ds var esa muesa usV ykHk fdl vuqikr esa gksxk\

(a) 60 : 71 : 84 (b) 40 : 41 : 42

(c) 80 : 81 : 84 (d) 5 : 7 : 9

13. (c)

Classical Approach:

A’s capital = Rs. (25 × 12) + (25 × 4) = Rs. 400

B’s capital =Rs.

+

45 4512 6

2 2= Rs. 405;

C’s capital = Rs. (70 × 6) = Rs. 420

∴ Ratio of share of profits = 400 : 405 : 420 = 80 : 81 : 84

14. James, Bond and Alice enter into a partnership. Bond invests 20%

more than James and Alice invests 50% more than James. Bond

and Alice invests their capital for 20 months, 10 months, and 15

months respectively and the profit is Rs. 130800, then find the

cost of bike after 1 years that Alice bought from his share of profit

if price of bike is depreciated at the rate of 20% half yearly?

tsEl] ckWUM rFkk ,fyl ,d O;kikj esa lk>k djrs gSA ckWUM 20% T;knk iwath

yxkrk gSA tsEl ls rFkk ,fyl 50% T;knk iwath yxkrh gSa tsEl lsA ;fn

tsEl] ckWUM rFkk ,fyl iwath 20 eghus] 10 eghus] 5 eghus ds fy, yxkrs

gSA dqy ykHk 130800 rks ckbZd dh dher crkvks tks ,fyl us 1 lky ckn

[kjhnh mls izkIr ykHk lsA ;fn ckbd dh dher izR;sd 1/2 o"kZ 20% de

gksrh gSA

(a) 34560 (b) 39366 (c) 49366 (d) 29360

14. (a)

Classical Approach:

According to question,

=120

100

Bond

James=

150

100

Alice

James

Let investment of James = 100, Bond = 20

Alice = 150

Their profit ratio

James : Bond : Alice = 100 × 20 : 120 × 10 : 150 × 15

200 : 120 : 125 40 : 24 : 45

Share of Alice = 45

109× 130800 = 54000

Cost of Bond = 54000 × 80

100×

80

100 =Rs. 34560

15. Twelve friends (1, 2, 3, 4, … 10, 11, 12) who are also business

partners invested a certain amount of money in a business in the

ratio of 12 : 11 : 10 : 9 : 8 : 7 : … 3 : 2 : 1. The duration for which

they invested their money is in the ratio of 1 : 2 : 3 : 4 : … 10 : 11

: 12. Calculate who will obtain the maximum profit at the end of

the year.

12 nksLr ¼1, 2] -------------- 10, 11, 12½ tks fd O;olk; lk>snkj Hkh gS os

O;olk; esa jkf'k dks 12 : 11 : 10 : 9 : 8 : 7----------------- : 3 : 2 : 1 ds vuqikr

esa fuos'k djrs gSA os jkf'k dks 1 : 2 : 3 : 4 ----------------- 10 : 11 : 12 ds

vuqikr ds le; varjky esa fuos'k djrs gSA lky ds var esa fdls lokZf/kd

ykHk izkIr gksxk\

(a) 6th & 7th (b) 6th (c) 7th (d) 12th

(e) 1st

15. (a)

Classical Approach:

Profit are always distributed in the ratio of product of the time

and money of every individual partners.

So, the ratio of profit =

12 × 1 : 11 × 2 : 10 × 3 : 9 × 4 : 8 × 5 : 7 × 6 : 6 × 7 : 5 × 8 : 4 × 9 : 3

× 10 : 2 × 11 : 1 × 12

So, the maximum profit will be earned by two partners i.e. 6th and

7th partners.

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16. James, Bond, and Rex start a business with 30 000, 40000, and

50000 respectively. James stays for the entire year. Bond leaves

the business after two months but rejoins after another 4 months

but only with 3/4th of his initial capital. Rex leaves after 3 months

and rejoins after another 5 months but with only 4/5 of his

capital. If the year- end profit is 27,900 how much more than

Bond did Rex get?

tsEl] ckWUM o jsDl us ,d O;kikj 30,000, 40,000 rFkk 50000 yxkdj

'kq: fd;kA tsEl iwjs lky rd O;kikj djrk gS ckWUM 2 efgus ckn O;kikj

NksM+ nsrk gS ysfdu 4 efgus ckn nksckjk O;kikj esa igys okys /ku dk ¾

/ku yxkdj O;kikj 'kq: djrk gSA jsDl 3 efgus ckn O;kikj NksM nsrk

gS ysfdu nksckjk igys okys /ku dk 4/5 yxkdj O;kikj es avk tkrk gSA

;fn o"kZ ds var esa 27900 dk ykHk gqvk rks crkvksa ckWUM dks jsDl ls

fdruk T;knk ykHk feyk \

(a) 10800 (b) 1500 (c) 7800 (d) 9300

16. (b)

Classical Approach:

Their investment Ratio

James : Bond : Rex = 30,000 : 40,000 : 50,000 = 3 : 4 : 5

3x × 12 : 4x × 2 + 4x × 3

4× 6 : 5x × 3 + 5x ×

4

5× 4 = 36 : 26 : 31

Rex get more than Bond = 5

93× 27900 = Rs. 1500

17. A began a business with Rs. 450 and was joined afterwards by B

with Rs. 300. When did B join if the profit at the end of the year

was divided in the ratio 2 : 1?

A us 450 :i;s esa ,d O;olk; 'kq: fd;k vkSj ckn esa B, 300 :i;s ds lkFk

'kkfey gqvkA ;fn o"kZ ds var esa ykHk 2 : 1 esa caVs rks B dc 'kkfey gqvk Fkk\

(a) 9 (b) 6 (c) 8 (d) 3

17. (d)

Classical Approach:

A’s capital = Rs. (450 × 12) = Rs. 5400

As they share profit in the ratio 2 : 1

∴ B’s capital = Rs. 5400

2= Rs. 2700; B bring in Rs. 300.

∴ B’s capital stays in the business for 2700

300months = 9 months

∴ B joins after (12 – 9) = 3 months.

18. Akash and Suketu entered into a partnership. Suketu invested Rs.

500 more than Akash. The capital of Akash remained in the

business for 5 months and the capital of Suketu remained in the

business for 1 month more than the capital of Akash. If the total

profit is Rs. 2600 and Akash gets Rs. 600 less than Suketu, find

the capital of Suketu.

vkdk'k vkSj lqdsrw us ,d lk>snkjh 'kq: dhA lqdsrw us vkdk'k ls 500

:i;s vf/kd fuos'k fd;sA vkdk'k dh iwath O;olk; esa 5 eghus jgh vkSj

lqdsrw dh jkf'k vkdk'k ls 1 eghus vf/kd jghA ;fn dqy ykHk 2600

:i;s gS vkSj vkdk'k dks lqdsrw ls 600 :i;s de feys rks lqdsrw dh

iw¡th Kkr djks\

(a) Rs. 1500 (b) Rs. 2000 (c) Rs. 2500 (d) Rs. 3000

(e) Rs. 1800


As per series, middle terms will give us the maximum value of product of these two series.

It has even number of terms so there will be two middle terms i.e. 6th and 7th.


A : B

Investment 3 : 2

Profit 2 : 1

Time 2

3 :

1

2

4 : 3

A invested his capital for 12 months so, B invested his capital

for 9 months.

Hence, B joined after 12 – 9 = 3 months


A : B

Investment 3 : 2

Profit 2 : 1

Time 12 :

A gave 50% more investment = 1

2

A get 100% more profit than B

Because A gave 33.33% more time

AS successive of 50% + 33.33% = 100%

Or in ratio,

Successive of 1 1 1 1 1 1

2 3 2 3 2 3+ + + =

3 2 1 6

6 6

+ += = 100%

Since, A gave 12 months

i.e. A gave 1/3 more time

By CPR

So, b gave 1/4 less time = 12 – 3 = 9 months

i.e. B joined after 3 months



18. (b)

Classical Approach:

Assume Akash's investment be Rs. A

∴ Suketu's investment will be Rs. (A + 500)

Share of profit of Akash : Suketu = 1000 : 1600 = 5 : 8

( )

=

+

5 5

500 6 8

A

A⇒ A = 1500

Suketu invested 1500 + 500 = 2000

19. A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen

for 5 months and C puts 15 oxen for 3 months for grazing. If the

rent of the pasture is Rs. 175, how much must C pay as his share

of rent ?

A, B, C us ,d cM+k (pkjkxkg) m/kkj ij fy;kA A us 10 cSy 7 eghus ds fy,]

B us 12 cSy 5 eghus ds fy, rFkk C us 15 cSy 3 eghus ds fy, pjk;sA ;fn

pkjkxkg dk fdjk;k 175 #- gS rks C dks fdruk fdjk;k nsuk gksxk ?

(a) 45 (b) 55 (c) 50 (d) 60

19. (a)

Classical Approach:

A : B : C

10 : 12 : 15

7 : 5 : 3

14 : 12 : 9

Total rent pasture = 175

C’s share = 175

35× 9 = 45

20. Two persons A and B take a field on rent. A puts on it 21 horses

for 3 months and 15 cows for 2 months. B puts 15 cows for 6

months and 40 sheep for 1

72

months. If one day, 3 horses eat as

much as 5 cows and 6 cows as much as 10 sheep, what part of the

rent should A pay?

A o B us ,d [ksr fdjk;s fy;kA 21 ?kksM+s 3 efgus ds fy, rFkk 15 xk;

2 efgus ds fy, j[kh rFkk B us 15 xk; 6 efgus ds fy, rFkk 40 HksM+

eghus ds fy, j[kh gS ;fn ,d fnu esa 3 ?kksM+s 5 xk; ds cjkcj [kkrh

rFkk 6 xk; 10 HksM+ ds cjkcj [kkrh gSA rks A us fdruk fgLlk fdjk, ij

fy;kA

(a) 1

3rd (b)

2

5th (c) 2

3rd (d)

1

5th

20. (a)

Classical Approach:

According to question – 3H = 5C, 6 C = 10 S

Their rent ratio Hence,

A : B = 21H × 3 + 15C × 2 : 15c × 6 + 40s ×15

2

105 C + 30 C : 90 C + 180 C 135 : 270

Part of the rent should A pay = =135 1

405 3rd

21. A, B and C enter into partnership with capitals in the ratio of 2 : 5

: 3. B joins a few months later than A and C joins 2 months later

than B and withdraws from the business some time before the

year ends. If the ratio in which profits are distributed is 8 : 10 : 3.

(i) How many months later does B join, and

(ii) How many months earlier does C withdraw

A, B vkSj C ,d lk>snkjh esa 2 : 5 : 3 ds vuqikr esa jkf’k fuos’k djds 'kq:

djrs gSA B us A ls dqN efgus ckn vkSj C us B ls 2 efgus ckn tkbZu

fd;k vkSj o"kZ ds var ls igys O;olk; ls dqy jkf’k fudky ysrs gSA ;fn

ykHk 8 : 10 : 3 ds vuqikr esa ck¡Vs rks

(i) B us fdrus efgus ckn tkWbZu fd;kA

(ii) C fdrus efgus igys O;olk; ls fudy x;kA

(a) 6, 2 (b) 6, 1 (c) 5, 2 (d) 5,1

21. (b)

Classical Approach:

Let B join x months later and C withdraw y months earlier.

Amounts of investment are 2r, 5r and 3r.

A’s contribution = 2r × 12 = 24r

B’s contribution = 5r × (12 – x)

C’s contribution = 3r × (12 – x – 2 – y) = 3r × (10 – x – y)

Since the ratio of profits for A and B is 8 : 10, therefore,

24r : 5r (12 – x) = 8 : 10 or ( )

=−

24 8

5 12 10x or x = 6.

Therefore, B invested 6 months after A started.

(ii) Similarly,

( )

=− −

24 8

3 10 3

r

r x y

( )− −

24

3 10 6

r

r y=

8

3 y = 1.

Therefore, C withdraws 1 month before the end of the year, that

is, at the end of 11 months.

17

2


Akash gets Rs. 600 less than Suketu. So, 2600 – 600 = 2000

will be distributed equally.

Akash will be get Rs. 1000 and Suketu will get 1000 + 600

= 1600.

Akash Suketu

Time 5 : 6

Profit 5 : 8

Capital 5

5 :

8

6

3 : 4

Extra amount invested by Suketu = 1 = 500

Amount invested by Suketu = 4 = 2000


A : B : C

Capital 2 : 5 : 3

Profit 8 : 10 : 3

Time 8

2 :

10

5 :

3

3

4 : 2 : 1

Since, A stayed for 12 months. So, B stayed for 6 months. Hence, B joined after 6 months and C invested his capital for 3 months. C joined 2 months after B so, he joined after 8 months. Because C invested for 3 months so, he stayed upto 8 + 3 = 11 months. So, he left before 1 month.

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22. Nakul started a business with 25000 and after 4 months Sanjay

joined him with 60000. Nakul received 58000 including 10% of

the profits as a commission for managing the business. What

amount did Sanjay receive?

udqy us 25,000 :- ds lkFk O;kikj vkjaHk fd;kA 4 ekg ckn B, 60,000

:- ds lkFk O;kikj esa 'kkfey gks x;kA udqy dks dk 10% dfe’ku 'kkfey

djrs gq, 58000 #- izkIr gq;s rks lat; us fdruk /ku izkIr fd;k

(a) 72000 (b) 66000 (c) 74000 (d) 69000

22. (a)

Classical Approach:

Nakul: Sanjay = 25000×12 : 60000×8

Final ratio = 5 : 8, Let total profit = 100 P

∴ Nakul ‘s share = 10 p + 90p ×5

13 = 58000

P = 1300 ∴ Total profit = 130000

∴ Sanjay will get = 130000 × 90 8

100 13 = 72000

23. Three friends started a business of renting out air conditioners by

investing Rs.20000, Rs. 24000 and Rs.16000, respectively. C gets

20% of total profit for repair and maintenance of the air

conditioner. If in a particular year, C gets Rs.487.50 less than the

total earnings of the other two, then the total profit for the year is:

rhu nksLrksa us Øe’k% 20000: 24000: o 16000: fuos’k djds ,;j

daMh’kuj fdjk;s ij nsus dk O;olk; vkjaHk fd;kA C dks ,;j daMh’kuj

dh ejEer o ns[kHkky ds fy, dqy ykHk dk 20% Hkkx feyrk gSA ;fn

,d fuf’pr o"kZ esa, C dks ckdh nksuksa ds dqy ;ksx ls 487.50: de izkIr

gq, gS rks ml o"kZ dqy ykHk gS-

(a) Rs.2812.50 (b) Rs.3625.50

(c) Rs.4515.00 (d) None of these.

23. (a)

Classical Approach:

80% of the total Profit is divided in the ratio.

20000:24000:16000 = 5:6:4

80% of total profit = 5x + 6x + 4x =15x

Total profit = 15

80%

x× 100 = 18.75x

∴ Share of C in profit = 4x + 20% of 18.75x = 4x + 3.75x = 7.75x

Share of A in profit = 5x Share of B in profit = 6x

∴ (6x +5x)-7.75x = 487.50

3.25x = 487.50 x =150

∴ Total profit = 18.75 × 150 =Rs.2812.50

24. Leo and Hector started a business with different capitals. Leo was

to get 15% of the profit as salary and the rest was to be divided

in the ratio of their investments. Had the entire profit been

distributed in the ratio of their investment, Hector would have

got 1350 more than what he actually got. Calculate what is

Hector’s actual share of the profit.

fy;ks vkSj gSDVj us fofHkUu iwath ds lkFk ,d O;olk; 'kq: fd;kA fy;ks

dks osru ds :i esa ykHk dk 15% izkIr gqvk vkSj ckdh dks muds fuos'k

ds vuqikr esa foHkkftr fd;k tkuk FkkA ;fn iwjs ykHk dks muds fuos'k ds

vuqikr esa forfjr fd;k tkrk] rks gSDVj dks okLro esa tks feyk mlls

1350 vf/kd feyrkA x.kuk djsa fd gSDVj ds ykHk dk okLrfod fgLlk

D;k gS\

(a) Rs. 7250 (b) Rs. 7650 (c) Rs. 6750 (d) Rs. 5650

(e) None of these

24. (b)

Classical Approach:

Leo : Hector = a : b

Let total profit = 100

Leo will get = 15 ++

85a

a b

Hector will get = +

85b

a b

If profit is distributed in the ratio of investment then Hector will

get = +

100b

a b

Extra = − =+ + +

100 85 15b b b

a b a b a b

+

15b

a b= 1350 ⇒ =

+

1350

15

b

a b

Actual profit of Hector =+

85b

a b= 85 ×

1350

15= 7650

25. In a business partnership of three people A, B and C, B’s share in

total profit is Rs. 250 per Rs. 2000. At this profit his return on

investment is 15%. If B earns total of Rs. 900, what is the total

investment made by A and C in business? Assume that each of A,

B and C have invested their money for the entire year and profits

are shared in the ratio of their investments.

rhu O;fDr;ksa A, B vkSj C ds O;kikj lk>s esa dqy ykHk esa B dk 'ks;j 250

:-@2000 :- gSA bl ykHk ij mldk fuos’k ij izfrQy 15% gSA ;fn

B dqy 900 :- dekrk gS rks A vkSj C us O;olk; esa dqy fdruk fuos’k

fd;k ekuk fd A, B vkSj C esa ls izR;sd mudh jkf’k dks iwjs o"kZ ds fy,

fuos’k djrk gS vkSj ykHk muds fuos’k ds vuqikr esa ck¡Vk tkrk gSA

(a) Rs. 48000 (b) Rs. 42000 (c) Rs. 6000 (d) Data insufficient


A : B : C = 5 : 6 : 4

C will get = 20% + 4

80%15

of

A + B will get = 11

80%15

of

A + B – C

= − = − =7 7 4 1 13

80% 20%15 155 5 5 75

of

Using Aryan ratio

= 13 487.50

75=

x x = 2812.5


Here, Leo got 15% of the share of Hector.

15% of share of Hector = 1350

100% of share of Hector = 9000

Actual share of Hector = 9000 – 1350 = 7650



25. (b)

Classical Approach:

B’s share in the profit = 250 per 2000

If B gets Rs. 900, total profit = 2000 ×900

250= 7200

B’s return on investment = 15%

∴900

B's investment× 100 = 15

∴ B’s investment = 6000

∴ The profits are shared in the ratio of their investments.

Total investment = 6000 ×7200

900= 48000

∴ Investment made by A and C = 48000 – 6000 = 42000


Profit of B = 900

Now, we will apply Aryan's ratio to calculate total profit

250 900

2000 x= x = 72

B gets 15% on his investment as profit.

So, total investment of B = 15 100

900 y= y = 6000

From total profit of 7200 B gets 900

A + C will get 7200 – 900 = 6300

Now, to calculate investment of A + C we will apply Aryan's ratio

900 6300

6000 z= z = 42000

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1. ‘A’ and ‘B’ start a business with 5000 and 6000 respectively. If the

profit at the end of the year is 550. Find the profit of ‘A’

'A' rFkk 'B' Øe'k% 5000 rFkk 6000 ds lkFk ,d O;kikj izkjaHk djrs

gSA ;fn o"kZ ds var esa gqvk ykHk 550 gSA A dk ykHk gS\

(a) 250 (b) 300 (c) 350 (d) 200

2. A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000

and Rs. 55,000 respectively. The respectively shares of A, B, C in

an annual profit of Rs. 40,500 are:

A, B, C ,d lka>snkjh esa Øe’k% :i;s 35000, 45,000 vkSj 55,000

yxkrs gS ;fn o"kZ ds vUr esa dqy 40]500 dk ykHk gks rks A, B, C dk

ykHk esa fgLlk Kkr djksA

(a) Rs. 13,500, Rs. 16,500, Rs. 10,500

(b) Rs. 10,500, Rs. 13,500, Rs. 16,500

(c) Rs. 13,500m Rs, 10,500, Rs. 16,500

(d) None of the above

3. A, B and C started a business. The amount invested by A and B are

in the ratio 2: 3 whereas the ratio of investment of B and C is 2:3.

If the total profit earned is Rs. 760. Find the profit earned by C.

A, B rFkk C ,d O;kikj izkjaHk djrs gSA A rFkk B }kjk fuos'k dh xbZ

jkf'k dk vuqikr 2 : 3 gSa B rFkk C }kjk fuos'k dh xbZ jkf'k dk vuqikr

2 : 3 gSA ;fn dqy ykHk 760 :i;s dek;k rks C us fdruk ykHk dek;k\

(a) 320 (b) 340 (c) 350 (d) 360

4. A, B, C and D enter into partnership, A subscribes 1/3 of the

capital, B 1/4, C 1/5 and D the rest. What is the share of D out of

a profit of Rs. 6000?

A, B, C o D fdlh lk>s esa Øe’k% A /ku dk 1/3, B /ku dk 1/4, C /ku dk

1/5 vkSj 'ks"k /ku D yxk;k gS] 6000 #- ds ykHk esa ls D dk fgLlk D;k gS\

(a) Rs. 2000 (b) Rs. 1600 (c) Rs. 1200 (d) Rs. 1300

5. Three persons A, B and C invested Rs.3000, Rs.5000 and Rs. 7000

to start a business. At the end of the year the profit is Rs.100000,

out of which 25% goes for charity. By how much is B’s share

greater than A’s share?

rhu O;fDr A, B o C, 3000 :- 5000 : o 7000 : fuos'k djds ,d

O;kikj vkjaHk djrs gSaA o"kZ ds var esa ykHk 100000 :- gS] ftlesa 25%

nku esa ns fn;k tkrk gSA B dk fgLlk] A ds fgLls ls fdruk vf/kd gS\

(a) Rs.20000 (b) Rs.5000 (c) Rs.10000 (d) None of these

6. p, q, r enter into a partnership. p contributes one-third of the

whole capital while q contributes as much as p and r together

contribute. If the profit at the end of the year is Rs. 1,68,000, how

much would each receive?

p, q vkSj r lka>s esa O;kikj djrs gSA p laiw.kZ /kujkf'k dk 1

3tcfd q, p

vkSj r ds lfEefyr /kujkf'k ds leku /kujkf'k yxkrk gSA ;fn o"kZ ds var

esa ykHk :i;s 1]68]000 gks rks izR;sd dks feysxk\

(a) 48,000, 40,000, 80,000 (b) 56,000, 84,000, 28,000

(c) 56,000, 84,000, 20,000 (d) 56,000, 28,000, 84,000

7. Alice puts Rs. 600 more in a business than Rex, but Rex has

invested his capital for 5 months while Alice has invested his

capital for 4 months. If the share of Alice is Rs. 48 more than that

of Rex out of the total profit of Rs. 528, find the capital

contributed by Alice?

,sfyl us jSDl ls 600 :i;s vf/kd O;kikj esa yxk;sA jSDl us viuh iwath

5 o"kZ ds fy, rFkk ,sfyl us 4 o"kZ ds fy, yxk;hA ;fn dqy 528 :i;s

ds ykHk esa ,sfyl dk fgLlk jSDl ls 48 :i;s vf/kd gS rks ,sfyl us

fdruh iwath fuos'k dh\

(a) 2000 (b) 2500 (c) 1500 (d) 1800

8. Hactor started a software business by investing Rs. 50,000. After

six months, Leo joined him with a capital of Rs. 80,000. After 3

years, they earned a profit of Rs. 24,500. What was ‘Hactor’ share

in the profit?

gSDVj us lkW¶Vos;j dk O;kikj 5000 #- yxkdj 'kq# fd;kA 6 eghus ckn

fy;ks us 80000 #- yxkdj O;kikj eas 'kkfey gks x;kA 3 o"kZ ckn 24500

#- dk ykHk gqvk rks gSDVj dk fgLlk crkvks?

(a) Rs. 9,423 (b) Rs. 10,250 (c) Rs. 12,500 (d) Rs. 10,500

9. In a partnership, A invests 1/6 of the capital for 1/6 of the time,

B invests 1/3 of the capital for 1/3 of the time and C, the rest of

the capital for the whole time. What is the share of B in the profit.

,d lk>k O;kikj esa A us dqy /ku dk 1/6 dqy le; ds 1/6 ds fy,] B

dqy /ku dk 1/3 dqy le; ds 1/3 le; ds fy,] C cpk gqvk /ku iwjs

le; ds fy, yxkrk gS rks B dk fgLlk Kkr djks\

(a) 4/23 (b) 2/3 (c) 4/5 (d) 3/6

10. Ram started a business investing Rs. 30000. Prateek joined the

business after sometime and invested Rs. 20000. At the end of the

year, profit was divided in the ratio of 2:1. After how many

months did Prateek joined the business?

jke us 30000 :i;s fuos'k djds ,d O;kikj izkjaHk fd;kA izrhd 20000

:i;s fuos'k djds dqN le; ckn O;kikj esa 'kkfey gks x;kA o"kZ ds var

esa gqvk ykHk 2 : 1 ds vuqikr esa ckaVk tkrk gSA izrhd fdrus eghuksa ckn

O;kikj esa 'kkfey gqvk\

(a) 9 (b) 4 (c) 3 (d) 5

Practice Exercise - 007



11. James started a business and he invested in 38000, After some

month, Bond came to join with him and invest 28500. At the end

of the year the total profit was divided among them into ratio

form 16 : 8. Find after how many months did Rex join.

tSEl us 38000 #- yxkdj ,d O;olk; 'kq# fd;kA dqN eghuksa ckn

ckWUM us 28500 #- O;olk; esa fuos’k fd;kA ;fn lky ds var esa dqy

ykHk dks nksuksa ds chp 16 : 8 esa ckaVk x;kA jSDl esa fdrus eghus ckn

O;olk; esa fuos’k fd;k\

(a) 4 (b) 6 (c) 8 (d) 3

12. A and B started a business with initial investments in the ratio 5 :

7. If after one year their profits were in the ratio 1 : 2 and the period

for A’s investment was 7 months, B invested the money for

A o B us O;kikj 5 : 7 esa /ku yxkdj 'kq# fd;kA ;fn 1 lky ckn muds

ykHk dk vuqikr 1 : 2 gS A us 7 efgus ds fy, /ku yxk;k rks crkvks B us

fdrus efgus ds fy, /ku yxk;kA


13. A starts business with Rs. 3500 and after 5 months. B joins A as

his partner. After a year, the profit is divided in the ratio 2 : 3.

What is B’s contribution in the capital?

A us 3500 :i;s ds lkFk O;kikj 'kq: fd;k rFkk 5 ekg ckn B us Hkh

O;kikj esa lk>k fd;kA ;fn o"kZ ds vUr esa mUgksus 2 : 3 ds vuqikr esa ykHk

izkIr gqvk rks B us fdruh jkf’k fuosf’kr dhA

(a) Rs. 8000 (b) Rs. 8500 (c) Rs. 9000 (d) Rs. 9200

14. A and B are partners in a business. They invest in the ratio 5 : 6.

At the end of 8 months A withdraws. If they receive profits in the

ratio of 5 : 9 find how long B’s investment was used?

A vkSj B us lk>snkjh esa ,d O;olk; fd;kA os nksuksa 5 : 6 ds vuqikr esa

fuos'k djrs gS vkSj 8 efgus ds ckn A us jkf'k fudky yhA os ykHk dks 5 : 6

ds vuqikr esa izkIr djrs gSA B us fdrus le; ds fy, lk>snkjh dh\

(a) 12 months (b) 10 months

(c) 15 months (d) 14 months

15. If Bond, Alice and Rex invested some money in partnership in the

ratio 6: 9:10. If the ratio of profit earned by them in the ratio 2: 3:

5, then find the ratio of time duration of their investments

ckWUM] ,fyl vkSj jSDl dqN /ku lk>snkjh esa 6 : 9 : 10 ds vuqikr esa

fuos'k djrs gSA ;fn muds }kjk dek;s x;s ykHk dk vuqikr 2 : 3 : 5 gS

mUgksaus fdrus le; varjky ds fy;s /ku fuos'k fd;k\

(a) 3: 2: 2 (b) 2: 3: 2 (c) 2: 2: 3 (d) 2: 1: 3

16. Three partners shared the profit in a business in the ratio 5 : 7 :

8. They had partnered for 14 months, 8 months and 7 months

respectively. What was the ratio of their investments?

rhu ikVZulZ ds ykHk dk vuqikr 5 : 7 : 8 mUgksaus iSlk yxk;k Øe’k% 14 ,

8, 7 eghus rdA muds }kjk yxk;s x;s /ku dk vuqikr crkvks\

(a) Rs. 5 : 7 : 8 (b) Rs. 20 : 49 : 64

(c) Rs. 38 : 28 : 21 (d) None of these

17. A, B and C are partners. A receives 2

5of the profits and B and C

share the remaining profit equally. A’s income is increased by Rs

220 when the profit rises from 8% to 10%. Find the capitals

invested by A, B and C.

A, B rFkk C lk>snkj gSA A, ykHk dk 2

5izkIr djrk gS rFkk B o C 'ks"k ykHk

dks cjkcj ckWVrs gSA A dh vk; 220 :i;s c<+ tkrh gS tc ykHk 8% ls

10% gks tkrk gSA A, B rFkk C }kjk fuosf'kr /ku Kkr djks\

(a) Rs. 11,000, Rs. 8250, Rs. 8250

(b) Rs. 11,000, Rs. 15500, Rs. 15500

(c) Rs. 8800, Rs. 6100, Rs. 6100

(d) None of these

18. P and Q started a business with Rs. 35000 and Rs. 20000

respectively. They agreed to share the profit in the ratio of their

capital. R joins the partnership with the condition that P, Q and R

will share profit equally and pays Rs . 220000 as premium for this

to be shared between P and Q. This is to be divided between P

and Q in the ratio of

P rFkk Q ,d O;kikj 35000 rFkk 20000 :- yxkdj 'kq: djrs gSA os

viuh iwath ds vuqikr esa ykHk ckaVus dk oknk djrs gSA R O;kikj esa 'kkfey

gksrk gSA bl 'krZ ij fd P, Q rFkk R cjkcj ykHk lka>k djsaxs vkSj P,Q ds

chp lk>k djus ds fy, izhfe;e ds :i esa 220000 :- dk Hkqxrku R

djrk gS rks ;g iwath P o Q esa fdl vuqikr esa ckaVh tk,xh\

(a) 10 : 1 (b) 1 : 10 (c) 9 : 10 (d) 10 : 9

19. A and B rent a pasture for 10 months; A puts in 80 cows for 7

months. How many can B put in for the remaining 3 months, if

he pays 3/2 times rent of A pays.

A o B ,d pkjkxkg 10 ekg ds fy, fdjk;s ij ysrs gS; A blesa 7 ekg

ds fy, 80 xk; j[krk gSA vxj B, A ls 1.5 xquk T;knk fdjk;k nsrk gS

rks og 'ks"k 3 ekg esa fdruh xk; j[k ldrk gSA

(a) 120 (b) 180 (c) 200 (d) 280

20. Three men rent a farm for Rs. 7,000 per annum. A puts 110 cows

in the farm for 3 months, B puts 110 cows for 6 months and C put

440 cows for 3 months. What percentage of the total expenditure

should A pay?

rhu vkneh : 7000 izfr o"kZ ij ,d pkjkxkg fdjk;s ij ysrs gSA A,

110 xk;s 3 ekg ds fy;s] B, 110 xk;s 6 ekg rFkk C 440 xk;s 3 ekg

pjkrk gSA rks A dqy fdjk;s dk fdruk izfr’kr pqdk;sxkA

(a) 20% (b) 14.28% (c) 16.66% (d) 11.01%

21. Bond and Alice have 24 cows and 30 cows respectively. Both of

them together hired a grazing field for the whole month of

November. Initially Bond’s cows used for grazing then for the

remaining days of the month Alice’s cows grazed it. If Bond has

paid Rs. 3500 and Alice has paid Rs. 5000 for grazing then for

how many days Bond used the grazing field:

ckW.M+ rFkk ,fyl ds ikl Øe’k% 24 xk; rFkk 30 xk; gS nksuks iwjs uoEcj

ekg esa xk;ks dks pjkus ds fy, ,d [ksr ysrs gS izkjaEHk esa ckW.M xk;s pjkrk

gS rFkk 'ks"k fnuksa esa ,sfyl] xk;ks dks pjkrh gSA ;fn ckW.M+ us 3500 :

rFkk ,fyl us 5000 : pjkus ds fy;s Hkqxrku fd;k rks ckW.M pjkus ds

fy;s [ksr dks fdrus fnuks ds fy;s mi;ksx ysrk gSA

(a) 14 (b) 16 (c) 21 (d) 20

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22. A is a working and B is a sleeping partner in a business. A put in

Rs. 5000 and B put in Rs. 6000. A receives 12.5% of the profit for

managing the business and the rest is divided in proportional to

their capital. What does A get out of a profit of Rs. 880?

fdlh O;kikj esa A lfØ; rFkk B fuf"Ø; lk>snkj gSA A 5000 :i;s rFkk

B 6000 :i;s yxkrk gSA A ykHk dk 12.5 izfr'kr O;kikj dks O;ofLFkr

djus ds fy, ysrk gSA rFkk 'ks"k muds }kjk yxk;h x;h jkf'k;ksa ds vuqikr

esa caV tkrk gSA ;fn dqy ykHk 880 :i;s gS rks A dk Hkkx gS\

(a) 420 (b) 440 (c) 460 (d) 480

23. Three persons A, B and C decided to run a business together. All

of them invested Rs. 20000, Rs.30000 and Rs. 60000

respectively. B is the CEO and he manages all the work. The other

two are sleeping partners. If B receives 3000 per month as a fixed

salary and the total profit made by all of them was Rs. 135000 in

one year, then what was B’s total share of the profit.

rhu O;fDr A, B rFkk C ,d O;kikj djus dk fu'p; djrs gSa os lHkh

Øe'k% 20000 :i;s] 30000 :i;s rFkk 60000 :i;s fuos'k djrs gSA

B, CEO gS vkSj og dke dks O;ofLFkr djrk gSA vU; nks fuf"Ø; lk>snkj

gs ;fn B 3000 :i;s izfr eghuk fuf'pr osru izkIr djrk gS rFkk mUgsa

dqy ykHk,d o"kZ esa 135000 :i;s gksrk gSA B dk ykHk esa dqy Hkkx

fdruk gS\

(a) 63000 (b) 59000 (c) 65000 (d) 72000

24. A and B started a business in partnership by investing Rs. 10000

and Rs. 4000 respectively. Condition of partnership is that B will

get Rs. 100 per month for management of the business. After

paying 5% interest on capital, annual profit has been distributed

in the ratio of their investment. Find the share of A’s profit if the

total profit is rupees 4000.

A rFkk B Øe'k% 10000 rFkk 4000 :i;s fuos'k dh lk>snkjh djds ,d

O;kikj izkjaHk djrs gSA O;kikj dh 'krZ ds vuqlkj B O;kikj dks O;ofLFkr

djus ds dkj.k 100 :i;s izfr eghuk ysrk gSA fuos'k dh jkf'k ij 5

izfr'kr R;kx nsus ds ckn ykHk dks fuos'k dh x;h jkf'k ds vuqikr esa ckaV

fy;k tkrk gSA ;fn dqy ykHk 4000 :i;s dk gqvk rks A dk ykHk esa

fgLlk gS\

(a) 3000 (b) 2500 (c) 1500 (d) 2000

25. A, B and C jointly thought of engaging themselves in a business

venture. It was agreed that A would invest Rs.6500 for 6 months,

B, Rs.8400 for 5 months and C, Rs.10, 000 for 3 months. A wants

to be the working member for which he was to receive 5% of the

profits. The profit earned was Rs.7400. Calculate the share of B in

the profit.

A, B o C ,d lkFk feydj ,d O;kikj vkjaHk djus dk lksprs gSA ;g

fuf’pr fd;k tkrk gS fd A , 6 ekg ds fy, 6500: ,B, 5 ekg ds fy,

8400: rFkk C, 3 ekg ds fy, 10000: yxk;sxkA A dk;Zdkjh lnL;

cuuk pkgrk gS, ftlds fy, mls ykHk dk 5% feyrk gSA vftZr ykHk

7400: gSA ykHk esa B ds fgLls dh x.kuk djksA

(a) Rs.1900 (b) Rs.2660 (c) Rs.2800 (d) Rs. 2840

Answer Key 1 a 2 b 3 d 4 d 5 c 6 b 7 d 8 d 9 a 10 a 11 a 12 c 13 c 14 c 15 c 16 b 17 a 18 a 19 d 20 b 21 a 22 c 23 a 24 c 25 b



1. Ajay and Dinesh have invested in their business the capital of

80,000 and 30,000 respectively. What is their ratio of profit?

vt; rFkk fnus'k us vius O;olk; esa Øe'k% 80]000 rFkk 30]000

:i;s dk fuos'k fd;kA muds ykHk dk vuqikr Kkr djks\

(a) 8 : 3 (b) 5 : 6 (c) 9 : 5 (d) 8 : 5

2. Three partners A, B and C invest Rs. 1600, Rs. 1800 and Rs. 2300

respectively in a business. How should they divide a profit of Rs. 399?

rhu nksLr A, B vkSj C us Øe'k% 1600 :i;s] 1800 :i;s rFkk 2300

:i;s yxkdj O;kikj 'kq: fd;kA 399 :i;s ds ykHk dks mUgsa fdl

izdkj ckaVuk pkfg;s\

(a) 106, 109, 184 (b) 121, 114, 164

(c) 126, 112, 161 (d) 112, 126, 161

3. Ballu start a business with Rs. 50,000. Sallu joins him after 3

months and invests Rs. 75,000. At the end of the year they make

a profit of Rs. 51,000. What is the share of Ballu in the profit?

cYyw us 50000 :i;s yxk ,d O;kikj 'kq: fd;kA 3 eghus ckn lYyw

us 75,000 :i;s yxk O;kikj lk>k dj fy;kA o"kZ ds var esa 51,000

:Ik;s dk ykHk dek;kA ykHk esa fcYyw dk fgLlk Kkr djks\

(a) 16000 (b) 24000 (c) 20000 (d) 27000

4. In a business Hiren, Dinu and Marvadi, invested capital in the

ratio 3 : 3 : 6. Find the difference in the share of profit of Hiren

and Marvadi in a total profit of Rs. 10,000.

,d lk>snkjh esa fgjsu] nhuw rFkk ekjokM+h us 3 : 3 : 6 esa fuos'k fd;kA

10,000 ds dqy ykHk esa fgjsu rFkk ekjokM+h ds ykHk ds fgLls dk varj

Kkr djks\

(a) Rs. 2500 (b) Rs. 5000 (c) Rs. 2000 (d) Rs. 4000

5. Amber and Amit start a business and invest Rs. 65,000 and Rs.

1,25,000. Amber had to leave the business after 10 months.

What is the ratio in which they should share the profit at the

end of the year?

vEcj rFkk vfer us Øe'k% 65000 rFkk 1,25,000 :i;s ls O;kikj

'kq: fd;kA vEcj dks 10 eghus ckn O;kikj NksM+uk iM+kA muds lky

ds var dk ykHk dk vuqikr Kkr djks\

(a) 13 : 30 (b) 30 : 13 (c) 11 : 29 (d) 5 : 6

6. Two persons A and B invested in a business with 115000 and

75000 rupees respectively. They agree that 40% of the profit

should be divided equally among them and rest is divided

between them according to their investment. If A got 500 rupee

more than B, then the total profit is.

nks O;fDr A o B ,d O;kikj esa 115000 rFkk 75000 :i;s iawth yxkrs

gS oks 40% ykHk vkil esa cjkcj ckaVrs gS 'ks"k ykHk iwath ds vuqikr esa

ckaVrs gSA ;fn A dks 500 :i;s T;knk feyrs gS rks B dk dqy ykHk

crkvks\

(a) 3599.34 (b) 3699.34 (c) 3958.34 (d) 3999.34

7. In business, James and Bond invested amounts in the ratio 4 :

2, whereas the ratio between amounts invested by James and

Neal was 6 : 4, If Rs. 314600 was their profit, how much amount

did Neal receive?

,d O;kikj esa tSel vkSj ckWUM 4 : 2 ds vuqikr eas o tSEl o uhy 6 :

4 ds vuqikr esa /ku yxkrs gS] ;fn 314600 #- dk ykHk gksrk gS uhy

dks fdruk /ku feyk ?

(a) Rs. 88000 (b) Rs. 98000 (c) Rs. 94400 (d) Rs. 96800

8. A company make a profit of Rs. 9,00,000, 20% of which is paid as

taxes. If the rest is divided among the partners P, Q and R in the ratio

of 1 : 1 1

2 : 2, then the shares of P,Q and R are respectively.

,d dEiuh 900000 :- dk ykHk dekrh gS ftlds ls 20% VsDl ds

:i esa nsrh gSA ;fn 'ks"k ykHk lk>snkj P,Q rFkk R ds e/; 1 : 1

12 : 2

vuqikr esa ckaVk tkrk gS rks P,Q rFkk R dks fgLlk Øe’k% gS

(a) 2,40,000 ; 3,20,000; 1, 60,000

(b) 3,20.000; 2,40,000; 1,60,000

(c) 1,60,000; 3,20,000; 2,40,000

(d) 1,60,000; 2,40,000; 3,20,000

9. A, B and C started a business with a total investment of

Rs.72000. A invests Rs. 6000 more than B and B invests

Rs.3000 less than C. If the total profit at the end of a years is Rs.

8640, find A’s share.

A, B o C dqy 72000 : ds fuos’k ds lkFk ,d O;kikj vkjEHk djrs gSA A,

B ls 6000 : vf/kd rFkk B, C ls 3000 : de fuos’k djrk gSA ;fn ,d

o"kZ ds var esa dqy ykHk 8640 : gS, rks A dk fgLlk Kkr djksA

(a) Rs.3240 (b) Rs.2520 (c) Rs.2880 (d) Rs. 3360

10. Hiren, Vijay and Dharmesh enter into a partnership. Hiren

advances Rs. 1200 for 4 months, Vijay gives Rs. 1400 for 8

months and Dharmesh Rs. 1000 for 10 months. They gain Rs.

585 altogether. Find the share of profit of each.

fgjsu] fot; rFkk /kesZ'k us ,d lk>k 'kq: fd;kA fgjsu us 4 eghus ds

fy;s 1200 :i;s fn;sA fot; 1400 :i;s 8 eghus ds fy, rFkk /kesZ'k

us 10 eghus ds fy, 1000 :i;s fn;sA mUgksus 585 :i;s dk ykHk

izkIr fd;s] izR;sd dk fgLlk crkvks\

(a) 252, 108, 225 (b) 108, 252, 225

(c) 108, 225, 252 (d) 225, 252, 108

11. Three men A, B and C subscribe Rs. 4700 for a business. A

subscribes Rs. 700 more than B and B Rs. 500 more than C. How

much will each receive out of a profit of Rs. 423?

A, B rFkk C ,d O;kikj ds fy, 4700 :- dk fuos’k djrs gSA A B ls

700 :- vf/kd rFkk B C ls 500 :- vf/kd fuos’k djrk gSA 423 :- ykHk

ls izR;sd dks fdrus :- feysxsa\

(a) 198, 90, 135 (b) 135, 198, 90

(c) 90, 135, 198 (d) 198, 135, 90

Level - 1 Exercise - 1

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12. A began business with Rs. 4200 and is joined by B afterwards

with Rs. 7200. When did B join if the profits at the end of the

year are divided equally?

A us ,d O;kikjk 'kq: fd;k ftlesa 4200 :i;s fuos'k fd;sA dqN fnuksa

ckn B us O;kikj lk>k fd;k rFkk 7200 :i;s fuos'k fd;sA ;fn ykHk

dks nksuks esa cjkcj ckaVk x;k gks rks B us O;kikj dc lk>k fd;k\

(a) 7 (b) 5 (c) 8 (d) 4

13. A, B and C start a business by investing Rs. 2000, Rs. 3000 and Rs.

4000 respectively. But B increases his investment to Rs. 4000 after

4 months and C withdraws Rs. 1000 at the end of 9 months. What

is A’ share out of a total profit of Rs. 8475 earned in a year?

A, B rFkk C us Øe'k% 2000 :i;s] 3000 :i;s rFkk 4000 :i;s ls

O;kikj 'kq: fd;kA 4 eghus ckn B us viuk fuos'k 4000 :i;s dj

fn;k rFkk C us 9 eghus ckn 1000 :i;s fudky fy;sA lky ds var esa

8475 :i;s dk ykHk gqvk rks A dk fgLlk Kkr djks\

(a) 1854 (b) 1624 (c) 1925 (d) 1800

14. Three bachelors, Amar, Akbar and Anthony rented a house for

a year. But, Amar left after 4 months, Akbar stayed for 8 months

and only Anthony stayed for the entire year. If the annual rent

was Rs. 6000, find the share of Akbar.

rhu yM+ds vej] vdcj vkSj ,UFkksuh us ,d ?kj fdjk;s ij fy;kA vej us

4 eghus ckn ?kj NksM+ fn;k] vdcj 8 eghus :dk rFkk ,UFkksuh iwjs lky rd

jgkA ;fn okf"kZd fdjk;k 6000 :i;s gks rks vdcj dk fgLlk Kkr djks\

(a) Rs. 4000 (b) Rs. 2000

(c) Rs. 3000 (d) Rs. 2500

15. A and B started a business with Rs. 7700 and 11,000

respectively. A stayed for the entire time. If at the end of the

year they shared their profit in the ratio of 14 : 15, then for how

many months was B’s capital in the business?

A vkSj B us Øe'k% 7700 :i;s vkSj 11000 :i;s ls ,d O;olk; 'kq:

fd;kA A iwjs lky jgkA ;fn o"kZ ds var esa muds ykHk dk 'ks;j 14 :

15 esa gSA rks fdrus le; ds fy;s B dh iawth O;olk; esa Fkh\

(a) 7 months (b) 6 months

(c) 9 months (d) 8 months

(e) None of these

16. In a partnership between Ajay, Vinit and Tinu, Ajay invests Rs.

2000. If in a profit of Rs. 1600, Ajay’s share is Rs. 400 and Tinu’s

share is Rs. 200, then the amount invested by Vinit is :

vt;] fouhr rFkk Vhuw dh lk>snkjh esa vt; us 2000 :i;s fuos'k

fd;sA ykHk ds 1600 :i;s esa vt; dk fgLlk 400 :i;s rFkk Vhuw

dk fgLlk 200 :i;s gks rks fouhr ds }kjk yxkbZ xbZ iwath Kkr djks\

(a) Rs. 3000 (b) Rs. 5000

(c) Rs. 6000 (d) Rs. 6500

17. A and B started a business by investing money in the ratio of 2

: 3 respectively. If A had invested an additional amount of Rs.

10000, the ratio of A’s investment to B’s investment would have

been 3 : 2. What was the amount invested by A?

A vkSj B us Øe'k% 2 : 3 ds vuqikr esa jkf'k fuos'k dhA ;fn A us ,d

vfrfjDr jkf'k 10]000 :i;s fuos'k dh gksrh rks A vkSj B ds fuos'k dk

vuqikr 3 : 2 gksrkA A ds }kjk fdruh jkf'k fuos'k dh xbZ\

(a) Rs. 6500 (b) Rs. 8000 (c) Rs. 7000

d) Rs. 8200 (e) None of these



18. P, Q and R invest Rs. 3000, Rs. 2500 and Rs. 4000 for 8, 10 and

12 months respectively. If the total profit at the end of the year

was Rs. 9700, then what is Q’s share of the profit?

P, Q vkSj R Øe'k% 8] 10 vkSj 12 eghuksa ds fy;s 3000] 2500 vkSj

4000 dk fuos'k djrs gSA ;fn o"kZ ds var esa dqy ykHk 9700 :i;s

Fkk] rks Q dk ykHk dk fgLlk D;k gS\

(a) Rs. 3200 (b) Rs. 2500 (c) Rs. 2600

(d) Rs. 2400 (e) None of these

19. Atul started a business with Rs. 6500. After four months his

friend Balraj joined him within certain capital. If at the end of

the year the profits were divided in the ratio of 5 : 2, then how

much did Balraj invest?

vrqy us 6500 :i;s ds lkFk ,d O;olk; 'kq: fd;kA pkj eghus ckn

mldk nksLr cyjkt dqy fuf'pr iawth ds lkFk tqM+ x;kA ;fn o"kZ ds

var esa ykHk 5 : 2 ds vuqikr esa foHkkftr fd;k x;k Fkk] rks cyjkt us

fdruk fuos'k fd;k Fkk\

(a) Rs. 4200 (b) Rs. 3900 (c) Rs. 3800

(d) Rs. 3950 (e) Rs. 3850

20. Three friends P, Q and R started a business with investments of

Rs. 400, Rs. 400 and Rs. 800 respectively. After four months Q

took back Rs. 200 and P added Rs. 200 more. If the total profit

at the end of the year was Rs. 900, then what was the profit

share of all three friend?

rhu nksLrks P, Q vkSj R us Øe'k% 400, 400 vkSj 800 :i;s dk

O;kolkf;d fuos'k 'kq: fd;kA pkj eghus ds ckn Q us 200 :i;s okil

ys fy;s vkSj P us 200 :i;s vkSj tksM+sA ;fn o"kZ ds var esa dqy ykHk

900 :i;s Fkk rks rhuksa fe=ksa dk ykHk dk fgLlk D;k Fkk\

(a) Rs. (300, 150, 450) (b) Rs. (300, 200, 400)

(c) Rs. (250, 200, 450) (d) Rs. (200, 200, 500)

(e) None of these

21. A and B enter into a partnership. A puts in Rs. 2000 but at the

end of 3 months, withdraws Rs. 500 and again at the end of 8

months withdraws Rs. 300. Out of a total profit of Rs. 900 at the

end of the year, B’s share was Rs. 400. Find B’s capital.

A rFkk B ,d lk>snkjh 'kq: djrs gSA A 2000 :- dk fuos’k djrk gS

ysfdu 3 eghus ds var esa 500 :- fudky ysrk gS rFkk 8 eghus ds var esa

300 : vkSj fudky ysrk gSA 900 :- ds dqy ykHk esa B dk fgLlk 400

gS rks B dh iwath Kkr djksA

22. Anuradha and Bhargav invest money in a business in the ratio

4 : 3 for 6 months and 8 months respectively. If the return on

investment is 15% and Anuradha gets Rs. 2700, then what was

the investment?

vuqjk/kk vkSj HkkxZo 4 : 3 ds vuqikr esa Øe'k% 6 eghus vkSj 8 eghus ds

fy;s dkjksckj esa iSlk yxkrs gSA ;fn fuos'k ij fjVuZ 15% gS vkSj

vuqjk/kk dks 2700 :i;s feyrs gS rks fuos'k D;k Fkk\

(a) Rs. 36000 (b) Rs. 42000 (c) Rs. 32000

(d) Rs. 41200 (e) Rs. 30000

23. If A and B start a business by investing 9000 and 4000

respectively. If A invests for 6 months and B invests for 12

months. If profit earned at the end of year is 5100, then find the

profit earned by A.

;fn A rFkk B us Øe'k% 9000 rFkk 4000 fuos'k djds O;kikj izkjaHk

fd;kA ;fn A us 6 eghus ds fy, rFkk B us 12 eghus ds fy, fuos'k

fd;k ;fn o"kZ ds var esa 5100 :- ykHk dek;k rks A us fdruk ykHk

dek;k\

(a) 2600 (b) 2700 (c) 3000 (d) 3500

24. Bhanu and Raghu, two nomadic cattle owners have 45 and 75

buffalos respectively. They rent the grasslands that belong to

Shambhunath for a period of 6 months and agree to pay him Rs.

10,500 per month. Bhanu uses the grassland for 5 months while

Raghu puts in his cattle for 4 months. What are their shares in

the total payment to Shambhunath?

Hkkuq rFkk j?kq ds ikl 45 rFkk 75 HkSals gSA mUgksus 'kaHkqukFk ls ,d ?kkl

dk eSnku 6 eghus ds fy, fdjk;s ij fy;k rFkk izR;sd eghus 10,500

:i;s nssus dk oknk fd;kA Hkkuq us ?kkl dk eSnku 5 eghus ds fy;s rFkk

j?kq us 4 eghus ds fy;s mi;ksx fd;kA 'kaHkqukFk ds fgLls ds :i;s ls

nksuks dk fgLlk Kkr djks\

(a) 27000, 36000 (b) 30000, 33000

(c) 25000, 38000 (d) 36000, 45000

25. Three shepherds A, B and C rented a pasture for a year. A

grazed 22 sheep for 4 months, B grazed 16 sheep for 8 months

and C grazed 32 sheep for 6 months. If C’s share of rent is Rs.

600, the total rent for the year was :

rhu xMfj;s A, B rFkk C ,d pkjkxkg fdjk;s ij ysrs gSA A, 22 HksM+s 4

eghus ds fy;s pjkrk gSA B, 8 eghus esa 16 HksM+s pjkrk gS rFkk C, 6

eghus esa 32 HksM+s pjkrk gSA ;fn C ds fgLls dk fdjk;k 600 :i;s gksA

lky dk dqy fdjk;k Kkr djks\

(a) Rs. 3550 (b) Rs. 2000

(c) Rs. 1275 (d) Rs. 675

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Solutions

Answer Key 1 a 2 d 3 b 4 a 5 a 6 c 7 d 8 d 9 a 10 b 11 d 12 b 13 d 14 b 15 c 16 b 17 b 18 b 19 b 20 a 21 c 22 a 23 b 24 a 25 c

1. (a)

Classical Approach:

The ratio of their profit will be = 80,000 : 30,000 = 8 : 3

(Ratio of Profit/Loss)

2. (d)

Classical Approach:

A : B : C = 16 : 18 : 23

A's share =16

57× 399 = 112

B's share = 18

57× 399 = 126

C's share = 23

57× 399 = 161

3. (b)

Classical Approach:

The profit is shared in the ratio of the product of the investment

and the duration of the investment.

The ratio of the investments is 2 : 3 while the ratio of the

durations is 4 : 3.

Hence the ratio of the required products is 2 × 4 : 3 × 3 = 8 : 9.

Hence Ballu's share in the profit is 8

17of total profit

i.e.

8

17 × 51,000 = Rs. 24,000

4. (a)

Classical Approach:

Hiren : Dinu : Marwadi = 3 : 3 : 6 = 1 : 1 : 2

Difference of profit of Hiren & Marwadi = 1

4× 10000 = 2500

5. (a)

Classical Approach:

The ratio is (65,000 × 10) : (1,25,000 × 12) = 13 : 30.

6. (c)

Classical Approach:

Their profit ratio A : B = 115000 × 12 : 75000 × 12

23 : 15

Let, total profit = x

Hence, x × 60

100×

8

38 = 500 x = 3958.3412.

7. (d)

Classical Approach:

Amount invested

James : Bond 4 : 2 = 2 : 1

James : Neal = 6 : 4 = 3 : 2

Neal : James : Bond

2 : 1

2 : 3

4 : 6 : 3

Ratio of their amount invested = 4 : 6 : 3

As we know that for the same time ratio of amount invested and

ratio of profit is same

Given total profit = 314600

Neal's share = 314600

13× 4 = 24200 × 4 = Rs. 96800

8. (d)

Classical Approach:

Profit for distribution = 900000× =80

720000100

P : Q : R

Profit Ratio → 1 : 3

2 : 2

2 : 3 : 4

Profit of P = =2

720000 1600009

Profit of Q = =3

720000 2400009

Profit of R = =4

720000 3200009



Since total of ratio = 57

Option (c) and (d) satisfy but share of B will be more than A.

Hence, option (d) is correct.


CPR

Amber Amit

Ratio of Investment 65 125

13 : 25

Amber left 2 months before i.e. he gave 1/6 less time

So, Amit will take 1/5 more profit

Ratio of Amit will change 1/525 30+⎯⎯→

New ratio = 25 : 30


P : Q : R = 2 : 3 : 4

Only option (d) is in ratio 2 : 3 : 4



9. (a)

Classical Approach:

Let Investment of C = X Rs.

Investment of B = X – 3000 Rs.

Investment of A = X + 3000 Rs.

According to the question

X + X – 3000 + X + 3000 = 72000 X = 24000

A =X + 3000 = 24000 + 3000 = 27000

B =X – 3000 = 24000 – 3000 = 21000

C =X = 24000

A B C

Profit Ratio → 27000 21000 24000

9 7 8

Profit of A = =9

8640 324024

Rs.

10. (b)

Classical Approach:

Classical Approach:

Hiren : Vijay : Dharmesh = 12×4 : 14×8 : 10×10

= 12 : 28 : 25

Profit of Hiren = 12

65× 585 = 108

Profit of Vijay = 28

65× 585 = 252

Profit of Dharmesh = 25

65× 585 = 225

11. (d)

Classical Approach:

If C subscribes Rs. x, then,

B subscribes Rs. (x + 500) and A subscribes Rs. (x + 1200)

∴ 3x + 1700 = 4700; ∴ x = Rs. 1000

∴ Ratio of profits of C, B and A=1000 : 1500 : 2200 i.e. 10:15:22

∴ C’s share of profit =10

47× 423 = Rs. 90

∴ B’s share of profit =15

47× 423 = Rs. 135

∴ A’s share of profit =22

47× 423 = Rs. 198

12. (b)

Classical Approach:

Let B invested his capital for x months

A : B = 42×12 : 72×x

Ratio of profit = 1 : 1

42 × 12 = 72 × x

x = 7 months

So B joined after 12 - 7 = 5 months

13. (d)

Classical Approach:

A : B : C = 2×12 : 3×4+4×8 : 4×9+3×3 = 24 : 44 : 45

A's share =24

113× 8475 = 1800

14. (b)

Classical Approach:

Amar : Akbar : Anthony = 4 : 8 : 12 = 1 : 2 : 3

Akbar's share = 2

6× 6000 = 2000

15. (c)

Classical Approach:

A B

Investment 7 10

Time 12 n

Profit 84 10n

Now =84 14

10 15n

∴ n = 9

∴ B capital was in Business for 9 months.

16. (b)

Classical Approach:

Ajay : Tina : Vinit = 400 : 200 : (1600 - 600) = 2 : 1 : 5

Applying Aryan's ratio = =2 5

2000 x⇒ x = 5000


Hiren : Vijay : Dharmesh = 12 : 28 : 25

from here we can conclude that profit of Hiren will be lowest & that of Vijay will be highest and Dharmesh will lie between these two only option (b) is in that order.


B invested 500 more than C and A invested 500 + 700 =

1200 more than C. So, if we subtract 1200 + 500 = 1700

from 4700 we get 3000. This amount will be distributed

equally among three. So, each will get 1000.

A : B : C = 2200 : 1500 : 1000 = 22 : 15 : 10

Only option (d) is in decreasing order.


A : B

Investment 42 : 72

Time 7 : 12

Profit 12 : So, here 7 should

come

1 : 1

B joined for 7 months i.e. he joined after 5 months.

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17. (b)

Classical Approach:

Ratio of their initial investment: =2

3

A

B

Let the initial investment of A and B be 2x and 3x respectively.

So +

=2 10000 3

3 2

x

x

So, 4x + 20000 = 9x or, 5x = 20000 or, x = 4000

∴ 2x = 8000

∴ amount invested by A = Rs. 8000.

18. (b)

Classical Approach:

P Q R

Amount 3000 2500 4000

Time 8 10 12

Profit 24 25 48

∴ Q should receive

+ +

9700

24 25 48× 25 = Rs. 2500.

19. (b)

Classical Approach:

Atul invested Rs. 6500 for 12 months

Suppose Balraj invested Rs. x for 8 months

∴

=

6500 12 5

8 2x x = 3900

So Balraj invested Rs. 3900.

20. (a)

Classical Approach:

P : 400 × 12 + 200 × 8 = Rs. 6400

Q = 400 × 4 + 200 × 8 = Rs. 3200

R = 800 × 12 = Rs. 9600

Ratio = 64 : 32 : 96 = 2 : 1 : 3

∴ P's share = 900

6× 2 = Rs. 300

Q's share = 900

6× 1 = Rs. 150

R's share = 900

6× 3 = Rs. 450.

21. (c)

Classical Approach:

Ratio of profits = (A’s Rs. 2000 for 3 months) + (A’s Rs. 1500 for

5 months) + (A’s Rs. 1200 for 4 months) : (B’s capital x for 12

months) = (6000 + 7500 + 4800) : 12x = =18300 500

12 400x;

` ∴ =1525 5

4x, ∴ x = Rs. 1220

22. (a)

Classical Approach:

Money is invested in the ratio of 4 : 3 and duration is 6 months

& 8 months respectively.

∴ The profits should be divided in the ratio of

4 × 6 : 3 × 8 ⇒ 24 : 24 = 1 : 1.

Thus total profit is 2700 × 2 = 5400

They shared profit equally so, total profit = 5400

The return on investment is 15%, thus the

investment is 5400

15× 100 = 36000

23. (b)

A : B

Profit 9000 × 6 : 4000 × 12

9 : 8

So, total profit 9 + 8 = 17⟶ 5100

Profit earned by A = 5100

17× 9 = 2700

24. (a)

Classical Approach:

The ratio of shares of Bhanu and Raghu is 45 × 5 : 75 × 4 = 3 : 4.

Hence they should pay 3

7th and

4

7th of the total amount.

Thus Bhanu should pay Rs. 10,500 × 6 ×

3

7 = Rs. 27000 and

Ragh`u should pay Rs. 10,500 × 6 ×

4

7 = Rs. 36,000

25. (c)

Classical Approach:

A : B : C = 22×4 : 16×8 : 32×6 = 11 : 16 : 24

Applying Aryan's ratio = =24 51

600 x⇒ x = 1275


Here B has not changed his investment

So, B's ratio will remain same

A : B

Previous ratio 2 : 3

New ratio 3 : 2

Making B equal

A : B


New ratio 1 : 6

A has added 5 units = 10,000

1 unit = 2000

Previous investment of A = 4 × 2000 = 8000/-


A invested for 50% less time

So, A's share will decrease by 50%

A B

Earlier ratio 9 : 4

New ratio 4.5 : 4

A : B = 9 : 8

So, share of A will be a multiple of 9. only option (b) satisfies.


C = 24, A + B + C = 51

So, total rent will be slightly more than double the share

of C

Only option (c) satisfies.



1. A and B put in Rs. 300 and Rs. 400 respectively into a business. A

reinvests into the business his share of the first year’s profit of

Rs. 210 where as B does not. In what ratio should they divide the

second year’s profit?

A rFkk B ,d O;kikj eas Øe’k% 300 rFkk 400 :- yxkrs gSA igys lky

dk ykHk 210 :- gSA A O;kikj eas iqu% iwath yxkrk gS] ftruk mls izFke

o"kZ ykHk gqvk Fkk tcfd B ugha yxkrk 2 lky ds var esa mudk ykHk fdl

vuqikr esa foHkkftr gksxk\

(a) 39 : 40 (b) 40 : 39 (c) 3 : 4 (d) 4 : 3

2. A, B and C enter into a partnership and their shares are in the

ratio 1/2: 1/3 :1/4. After 2 months, A withdraws half of his

capital and after 10 months, a profit of Rs. 378 is divided among

them. What is B’s share?

A, B o C Lkk>k izkjaHk djrs gS] o A /ku dk B /ku dk o c /ku dk

yxkrk gS] 2 eghus ckn A viuk vk/kk /ku fudky ysrk gS] vkSj 10 eghus ckn

378 #- ds ykHk dks rhuksa ds chp ckaVk tkrk gS] rc B dk fgLlk D;k gS?

(a) 142.8 (b) 169 (c) 225 (d) 339

3. A and B start a business with investments of Rs.5000 and Rs.4500

respectively. After 4 months, A takes out half of his capital. After

two more months, B takes out one third of his capital while C joins

them with a capital of Rs. 7000. At the end of a year, they earn a

profit of Rs.5080.Find the share of each member in the profit.

A o B Øe’k% 5000: o 4500: fuos’k djds ,d O;olk; vkjaHk djrs

gSA 4 ekg i'pkr A viuh vk/kh iwath okil fudky ysrk gSA nks vkSj ekg

i'pkr B viuh iwath dk ,d frgkbZ Hkkx fudky ysrk gS tcfd C, 7000:

dh iwath ds lkFk ’kkfey gks tkrk gSA ,d o"kZ ds var esa, mudks 5080 :

dk ykHk gksrk gSA ykHk esa izR;sd dk fgLlk Kkr djksA

(a) A –Rs.1400, B – Rs.1900, C – Rs.1780

(b) A –Rs.1600, B – Rs.1800, C – Rs.1680

(c) A –Rs.1800, B – Rs.1500, C – Rs.1780

(d) A –Rs.1680, B – Rs.1600, C – Rs.1800

4. Hutch and Essar entered into a partnership just 5 months ago.

The ratio of profit claimed by Hutch and Essar is 6:17. If Essar

had just started his business 12 months ago With Rs. 1275, what

is the amount contributed by Hutch?

gp vkSj bZlj 5 ekg iwoZ ,d lk>snkjh izkjEHk djrs gS gp vkSj bZlj ds

ykHk dk vuqikr 6 : 17 gS ;fn bZlj us 12 ekg iwoZ viuk O;kikj 1275 ls

'kq: fd;k Fkk rks gp }kjk yxkbZ xbZ jkf'k Kkr dhft,

(a) Rs. 980 (b) Rs. 1080 (c) Rs. 1200 (d) Rs. 998

5. A started a business with a capital of Rs.5000. Three months

later, B joined with a capital of Rs.7000. After another 3 months,

A invested Rs.1000 more while B withdrew Rs.2000. Two

months later, C joined with a capital of Rs.5000. In what ratio

should the profit get divided at the end of the year?

A 5000 : dh /kujkf’k ds lkFk ,d O;olk; vkjaHk djrk gSA rhu ekg

ckn B, 7000 : dh /kujkf’k ds lkFk ’kkfey gks tkrk gSA mlds vxys

3 eghuksa ds ckn, A, 1000 : vkSj fuos’k djrk gS tcfd B, 2000 :

fudky ysrk gSA nks ekg ckn C, 5000 : dh /kujkf’k ds lkFk ’kkfey gks

tkrk gSA o"kZ ds var esa ykHk fdl vuqikr esaa ckaVk tk;sxk?

(a) 22:4:17 (b) 22:17:4 (c) 22:17:8 (d) 66:51:20

6. A, B and C started a business. A invests 1/2 capital for 1/4 time, B

invests 1/8 capital for 1/2 time and C invests the remaining capital

for whole time. Find the share of B in the total profit of Rs.9900.

A, B o C ,d O;olk; vkjaHk djrs gSA A dqy iWwth dk 1/2 Hkkx 1/4 le;

ds fy,] B dqy iw¡th dk 1/8 Hkkx 1/2 le; ds fy, rFkk C, ’ks"k iwath iwjs

le; ds fy, yxkrk gSA dqy 9900: ds ykHk esa ls B dk fgLlk Kkr djksA

(a) Rs.2200 (b) Rs. 1100 (c) Rs.6600 (d) Rs. 4400

7. James and Bond started a business by investing Rs. 1750 and Rs.

2100 respectively. 5 months later, Bond withdrew her entire

money and Alice and Rex joined the business with investments of

Rs. 4000 and Rs. 6500 respectively. If after a year difference in

total shares of Alice and Rex together and total shares of James

and Bond together is Rs. 6,720, Find the total profit.

tsEl o ckWUM 1750 o 2100 :i;s yxkdj O;kikj 'kq: djrs gSA 5 efgus

ckn ckWUM viuk lkjk /ku fudyok ysrh gSA rFkk ,sfyl vkSj jsDl O;kikj es

tqM+ tkrh gS Øe’k% 4000 vkSj 6500 :i;s yxkdjA ,d o"kZ ckn ,sfyl o

jsDl ds ykHk rFkk dqy ykHk dk varj 6720 :i;s gS rks dqy ykHk crkvksA

(a) Rs. 16,900 (b) Rs. 16,800

(c) Rs. 15,100 (d) Rs. 15,300

8. Ram, Shyam, Bharat and Shatrughan invested their capitals in the

ratio of 6 : 5 : 3 : 1 respectively for different periods. At the end

of their period of investment, they get their share of profit in the

ratio of 1 : 3 : 5 : 6 respectively. What is the ratio of the periods of

their investment?

jke] ';ke] Hkjr vkSj 'k=q?u us Øe'k% 6 : 5 : 3 : 1 ds vuqikr esa mudh

jkf'k fuos'k dhA muds fuos'k ds varjky ds var ij mudk ykHk 'ks;j

Øe'k% 1 : 3 : 5 : 6 ds vuqikr esa izkIr djrs gSA muds fuos'k ds le;

varjky dk vuqikr Kkr djks\

(a) 7 : 21 : 65 : 180 (b) 5 : 18 : 50 : 180

(c) 6 : 19 : 71 : 193 (d) Can’t be determined

(e) None of these

9. Avinash, Binny and Chirag enter into a partnership by investing

Rs. 1100, Rs. 1300 and Rs. 1700 respectively. After a few months

an additional capital of Rs. 500 is needed and Binny brought this

amount. After 12 months there was a profit of Rs. 2527. If

Avinash’s share of profit was Rs. 627, then find after how many

months Binny invested an additional amount.

vfouk'k] fcUuh vkSj fpjkx us 1100 :i;s] 1300 :i;s vkSj 1700 :i;s

fuos'k djds ,d lk>snkjh 'kq: dhA dqN eghus ckn ,d vfrfjDr jde

1

2

1

3

1

4

Exercise - 2 Level - 2

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500 :i;s dh vko';drk iM+h vkSj fcUuh us ;g jde tqVkbZA 12 eghus

ckn 2527 :i;s dk ykHk gqvkA ;fn vfouk'k dk ykHk dk 'ks;j 627 :i;s

Fkk rks crkvksa fcUuh us fdrus le; ckn vfrfjDr jde fuos'k dh FkhA


(e) 7 months

10. P, Q and R enter into a partnership. Their capital contribution is

in the ratio 7 : 9 : 14. At the end of the business term they profits

in the ratio of 5 : 4 : 9. Find the ratio of the time for which they

invest their capitals.

P, Q vkSj R us ,d lk>snkjh 'kq: dhA mudk iwath forj.k 7 : 9 : 14 gSA

O;kikj ds var ij muds ykHk dk vuqikr 5 : 4 : 9 FkkA muds }kjk fuos'k

ds fy;s fd;s x;s le; dk vuqikr Kkr djks\

(a) 315 : 112 : 162 (b) 81 : 16 : 90

(c) 56 : 81 : 90 (d) 1 : 2 : 3 (e) None of these

11. x, y and z start a joint venture wherein they make an annual profit

of Rs. 3600. X invested one-third of the capital for one-fourth of

the time, y invested one-fourth of the capital for one-half of the

time, while z invested the remainder of the capital for the entire

year. Find the share of x in the profit.

x, y, z ,d O;kikj 'kq: djrs gS rFkk lky ds var esa 3600 :- dk ykHk

izkIr djrs gSA x iw¡th dk 1/3 Hkkx 1/4 le; ds fy, fuos’k djrk gSA y

iw¡th dk 1/4 Hkkx vk/ks le; ds fy, fuos’k djrk gSA z 'ks"k iw¡th dks iwjs

le; ds fy, fuos’k djrk gSA ykHk esa x dk fgLlk Kkr djksA

(a) Rs. 480 (b) Rs. 720 (c) Rs. 300 (d) Rs. 1200

12. A, B and C started a business by investing Rs. 24000, Rs. 32000 and

Rs. 18000 respectively. A and B are active partners and get 15%

and 12% of total profit and remaining profit is to be distributed

among them in the ratio of their investment. If C’s got total Rs.

65700 as a profit, what was the total amount of the profit?

A, B rFkk C Øe'k% 24000] 32000 rFkk 18000 :i;s fuos'k djds ,d

O;kikj izkjaHk djrs gSA A rFkk B lfØ; lk>snkj gS rFkk os dqy ykHk dk

15 izfr'kr rFkk 12 izfr'kr izkIr djrs gSA rFkk 'ks"k ykHk dks muds

fuos'k ds vuqikr esa ckaV ysrs gSA ;fn C dks 65700 :i;s izkIr gksrs gS

rks dqy ykHk fdruk gS \

(a) 47000 (b) 37000 (c) 34500 (d) 57000

13. Three people A, B and C invest Rs.5000, Rs.6000 and Rs.7000,

respectively, to start a business. If 10% of the total profit is given

to the working partner A and the remaining amount gets divided

in the ratio of the investments, what will be the ratio of the share

of profits received by A and C?

,d vkneh A, B o C ,d O;olk; vkjEHk djus ds fy, Øe’k% 5000:

6000: rFkk 7000: dk fuos’k djrs gSA ;fn dqy ykHk dk 10% A dks

lfØ; lk>snkj ds :Ik es ns fn;k tkrk gS rFkk ’ks"k /ku muds fuos’k ds

vuqikr ds vuqlkj ckaV fn;k tkrk gS, rks A o C ds }kjk izkIr ykHk ds

fgLlks dk vuqikr D;k gksxk?

(a) 1:1 (c) 7:5 (b) 5:7 (d) 7:6

14. James and Bond invest Rs. 4000 and Rs. 3000 in a business James

receives Rs. 20 per month out of the profit as a remuneration for

running the business and the rest of profit is divided in

proportion to the investments. If in a year James totally receives

Rs. 360, what does Bond receive?

tsEl vkSj ckWUM 4000 o 3000 :- yxkdj O;kikj 'kq: djrs gS tsEl

lfØ; ikVZuj gS rks og 20 :-@efgus ysrk gSA rFkk cpk gqvk ykHk

vkil esa iwath ds vuqikr esa ckaV ysrs gsA ;fn o"kZ ds var esa tsEl dks

360 :- feyrs gSA rks ckWUM dks fdrus feysaxs\

(a) Rs . 90 (b) Rs. 100 (c) Rs . 120 (d) Rs .80

15. Ram and Shyam invest a certain amount of money in the ratio of

3 : 2. If at the end of the year they donate 5% of the total profit to

charity and Ram’s share is Rs. 855, then what is the total profit?

jke vkSj ';ke us ,d fuf'pr jkf'k 3 : 2 esa fuos'k dhA ;fn o"kZ ds var

ij os dqy ykHk dk 5% nku djrs gS vkSj jke dk 'ks;j 855 :i;s gS rks

dqy ykHk fdruk gSA

(a) Rs. 1500 (b) Rs. 1100 (c) Rs. 1200 (d) Rs. 2000

(e) Rs. 1800

16. A and B started a business by investing money in the ratio of 2 :

3 respectively. If A had invested an additional amount of Rs.

10000, the ratio of A’s investment to B’s investment would have

been 3 : 2. What was the amount invested by A?

A vkSj B us Øe'k% 2 : 3 ds vuqikr esa jkf'k fuos'k dhA ;fn A us ,d

vfrfjDr jkf'k 10]000 :i;s fuos'k dh gksrh rks A vkSj B ds fuos'k dk

vuqikr 3 : 2 gksrkA A ds }kjk fdruh jkf'k fuos'k dh xbZ\

(a) Rs. 6500 (b) Rs. 8000 (c) Rs. 7000 (d) Rs. 8200

(e) None of these

17. Sony, Mony and Tony start a business each investing Rs. 20,000.

After 5 months Sony withdrew Rs. 5000, Mony withdrew Rs.

4000 and Tony added Rs. 6000 more. At the end of the year, a

total profit of Rs. 69900 was recorded. Find the share of each ?

Lkksuh] eksuh] Vksuh us ,d O;kikj 20000 #- izR;sd }kjk yxkdj izkjaHk

fd;k x;kA 5 efgus ckn lksuh 5000 #- o eksuh 4000 #- fudky ysrs gS

rFkk Vksuh 6000 #- vkSj yxk nsrk gSA ,d o"kZ ds ckn dqy ykHk 69900

#- gS rks izR;sd dk fgLLkk Kkr djks ?

(a) Rs. 20500, 21000, 22000 (b) Rs. 12000, 13000, 18000

(c) Rs. 15000, 17000, 20000 (d) Rs. 20500, 21200, 28200

18. A started a business with a capital of Rs.5000. Three months

later, B joined with a capital of Rs.7000. After another 3 months,

A invested Rs.1000 more while B withdrew Rs.2000. Two

months later, C joined with a capital of Rs.5000. In what ratio

should the profit get divided at the end of the year?

A 5000 : dh /kujkf’k ds lkFk ,d O;olk; vkjaHk djrk gSA rhu ekg

ckn, B, 7000 : dh /kujkf’k ds lkFk ’kkfey gks tkrk gSA mlds vxys

3 eghuksa ds ckn, A, 1000: vkSj fuos’k djrk gS tcfd B,2000: fudky

ysrk gSA nks ekg ckn C, 5000: dh /kujkf’k ds lkFk ’kkfey gks tkrk

gSA o"kZ ds var esa ykHk fdl vuqikr esaa ckaVk tk;sxk?

(a) 22 : 4 : 17 (b) 22 : 17 : 4 (c) 22 : 17 : 8 (d) 66 : 51 : 20

19. A, B and C enter into a partnership by investing Rs. 36000, Rs.

45000 and Rs. 55000. A is a working partner and gets 15th of the

profit for involvement and the remaining profit is divided

amongst the three in the ratio of their investments. What is the

amount of profit that C gets if A gets a total of Rs. 70,000?

A, B vkSj C us ,d O;kikj 'kq: fd;k ftless Øe'k% 36]000] 45]000 rFkk

55]000 :i;s fuos'k fd;sA A dk;Zdkjh lk>snkj gksus ds dkj.k 1@5 Hkkx

ykHk dk ysrk gSA 'ks"k Hkkx dks iwath ds fuos'k ds vuqikr esa ckaVuk gksrk

gSA ;fn A dk dqy Hkkx 70]000 :i;s gks rks C dk fgLlk Kkr djks\

(a) Rs. 55,000 (b) Rs. 45,000

(c) Rs. 50,000 (d) Rs. 57,500



20. Viral starts a business with Rs. 90,000 and manages it too. After 5

months he fell short of money, so he invited Akshay to invest and

Akshay invested Rs. 50,000 in the business. It was agreed that Viral

would get Rs. 10,000 per month for managing the business. If the

profit at the end of the year from the operations of the business is

Rs. 1,91,500. What is the share of Akshay in the profit?

fojky 90,000 :i;s ls ,d O;kikj 'kq: djrk gS rFkk bls laHkkyrk Hkh

gSA 5 eghus ckn mls iSls dh deh yxh rks mlus v{k; dks 50000 :-

yxk O;kikj esa 'kkfey dj fy;kA ;g r; gqvk fd fojky dks izfr eghus

10,000 :i;s O;kikj laHkkyus ds fy, feyrs gSA O;kikj ds lky ds var

esa 1,91,500 :i;s dk ykHk gqvk gks rks v{k; dk fgLlk Kkr djks\

(a) 13000 (b) 17500 (c) 15700 (d) None of these

21. A and B are two friends as well as partners. A invests Rs. 700 and

B invests Rs. 1200 respectively. A is a working partner and so

gets a working allowance of Rs. 250 per month. The share of A

and B respectively in a profit of Rs. 8700 after one year is

A vkSj B, 2 fe= gksus ds lkFk&lkFk lk>snkj Hkh gSA A, 700 :i;s vkSj

B, 1200 :i;s fuos'k djrk gSA A ,d dkedkth lk>snkj gS vkSj blfy;s

mls gj eghus 250 :i;s dk dk;Z djus dk HkŸkk feyrk gSA ,d o"kZ ckn

8700 :i;s ds ykHk esa Øe'k% A vkSj B dk 'ks;j fdruk gksxk\

(a) A → Rs. 5200, B → Rs. 3500

(b) A → Rs. 3600, B → Rs. 5100

(c) A → Rs. 3500, B → Rs. 5200

(d) A → Rs. 5100, B → Rs. 3600

(e) None of these

22. A, B and C entered into a partnership by investing Rs. 12000, Rs.

15000 and Rs. 18000 respectively. A is also, a working partner

and getting 15% of the annual profit of his work. If B got 8500

from the profit what amount A got from the annual profit?

A, B rFkk C Øe'k% 12000 :i;s] 15000 :i;s] rFkk 18000 :i;s

fuos'k djds ,d lk>snkjh esa 'kkfey gksrs gSA A ,d lfØ; lk>snkj Hkh

gS vr% og vius dke dk 15 izfr'kr okf"kZd ykHk izkIr djrk gSA ;fn

B 8500 :i;s ykHk izkIr djrk gS rks A fdruk ykHk izkIr djsxk \

(a) 11200 (b) 11300 (c) 13100 (d) 11030

23. A, B and C entered into a partnership by investing Rs. 28,000, Rs.

22,000, Rs. 18,000 respectively. A is also a working partner and

getting 15% of the annual profit for the work. Find the share of B

in annual profit of Rs. 40,000.

A, B rFkk C us 28,000 :, 22,000 : rFkk 18,000 : yxkdj O;kikj esa

lk>k fd;kA A ds O;kikj izcU/ku ds fy;s ykHk dk 15% feyrk gS rks B

dk fgLlk D;k gksxk ;fn okf"kZd ykHk Rs. 40,000 gksA

(a) Rs. 11,000 (b) Rs. 22,000

(c) Rs. 20,000 (d) None of these

24. A and B are partners who share profit and loss in the ratio of 3:2,

They agree to take C into partnership of 1

4th share of profit. The

new profit sharing ratio will be:

A rFkk B nks lk>snkj gSa] tks ykHk vkSj gkfu dks vkil esa 3:2 esa ck¡Vrs gSaA

os C dks Hkh lk>snkjh esa 1

4 ykHkka’k ij ysus dks jkth gks tkrs gSa] rks ykHkka’k

dk u;k vuqikr D;k gksxk\

(a) 9:6:5 (b) 5:6:9 (c) 6:5:9 (d) 9:5:6

25. A puts Rs. 768 more in a business than B, but B has invested his

capital for 7 months while A has invested his for 4 months. If the

share of A is Rs. 42 more than that of B out of the total profits of

Rs. 358, find the capital contributed by B?

A us B ls 768 #- vf/kd ,d O;olk; esa fuos'k fd,] fdarq B us mldh

iwath 7 efguksa ds fy, fuos'k dh] tcfd A us 4 efguksa ds fy, fuos'k

dhA ;fn dqy ykHk 358 #- esa ls A dks B ls 42 #- vf/kd feyrs gS] rks

B us fdruh iwath fuos'k dh gS\

(a) Rs. 642 (b) Rs. 1400 (c) Rs. 632 (d) Rs. 462

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Solutions

Answer Key 1 a 2 a 3 b 4 b 5 b

6 b 7 b 8 b 9 a 10 a

11 a 12 b 13 a 14 a 15 a

16 b 17 d 18 d 19 a 20 b

21 d 22 b 23 a 24 a 25 c

1. (a)

Classical Approach:

In first year their investment ratio

A : B = 300 : 400 3 : 4

In first year’s profit = 210

Share of A = 3

7× 210 = Rs. 90

Hence, in second year their investment ratio

A : B = 300 + 90 : 400 390 : 400 39 : 40

This will be their new profit ratio

2. (a)

Classical Approach:

A : B : C

1

2×12 :

1

3×12 :

1

4× 12

6 : 4 : 3

6× 2 +3 ×8 : 4 × 10 : 3× 10

36 : 40 : 30

18 : 20 : 15

B’s share 20

53× 378 = 142.8

3. (b)

Classical Approach:

A : B : C = (5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6 + 3000 ×

6) : (7000 × 6)

= 40000:45000:42000= 40:45:42

∴ A’s share = Rs.

405080

127= Rs.1600;

B’s share= Rs.

455080

127 = Rs.1800;

C’s share = Rs.

425080

127= Rs. 1680.

4. (b)

Classical Approach:

Let amount contributed by hutch be 'x'

Hutch : Essar

x : 1275

↓ ↓

5 months 12 months

↓ ↓

5x : 1275 × 12

6 : 17

=

5 6

1275 12 17

x x = 1080

5. (d)

Classical Approach:

A : B : C

5000×6+6000×6 : 7000×3+5000×6

: 5000×4

66000 : 51000 : 20000

66 : 51 : 20

Profit ratio = 66 : 51 : 20

6. (b)

Classical Approach:

Capital invest by C = 1 -

+ =

1 1 3

2 8 8

A : B : C

Capital → 1

2 :

1

8 :

3

8

time → 1

4 :

1

2 : 1

Profit = capital 1

8 :

1

16:

3

8

2 : 1 : 6

Profit of B = =1

9900 11009

Rs.

7. (b)

Classical Approach:

Their profit ratio

James : Bond : Alice : Rex

1750× 12 : 2100 × 5 : 4000 × 7 : 6500 × 7

2100 : 1050 : 2800 : 4550 210 : 105 : 280 : 455


Hence 420

1050× x = 6720 x = Rs . 16800

8. (b)

Classical Approach:

Ratio of their capital = 6 : 5 : 3 : 1

Ratio of profit 1 : 3 : 5 : 6

∴ Req. ratio = 1 3 5 6

: : :6 5 3 1

Now L.C.M. of 6,5,3 and 1 is 30

So multiplying each ratio by 30

We get 5 : 18 : 50 : 180.

9. (a)

Classical Approach:

Suppose b and c be the share in the profit of Binny and Chirag

respectively.

and let Binny invested an additional amount after x months.

As profit is directly proportional to the amount and time.


A : B : C = 40 : 45 : 42

From here we can say that profit of A will be less than that of both B & C & profit of B will be highest option (a) & (b) satisfy. Profit of C will be a multiple of 7. Hence option (b) is correct.



So the profit is to be divided in the ratio of

1100 × 12 : 1300x + 1800 (12 - x) : 1700 × 12

or, 132 : 216 - 5x : 204

∴ ( ) ( )

= = =− −

627 2527

132 216 5 204 552 5

b c

x x x = 4.

10. (a)

Classical Approach:

Ratio of profits = Ratio of capital multiplied by time

Ratio of time = Ratio of profits divided by respective capitals =

=5 4 9 315 112 162

: : : :7 9 14 252 252 252

= 315 : 112 : 162

11. (a)

Classical Approach:

Let the capital invested be C.

Monthly Equivalent Investment of x = 3 4

C T

Monthly Equivalent Investment of y = 4 2

C T

Monthly Equivalent Investment of z =5

12

C× T

∴ Profit is to be shared in the ratio 5

: :12 8 12

CT CT CT

i.e., 2 : 3 : 10

∴ Share of x in the profit =2

15× 3600 = Rs. 480

12. (b)

Classical Approach:

A : B : C

24000 : 32000 : 18000

12 : 16 : 9


A’s salary = Rs. 15

B’s salary = 12

Remaining profit = 73

Hence C’s share = 9

37× 73 = 65700

100 =

65700

9 73× 37 × 100 =Rs. 370000

13. (a)

Classical Approach:

Let the total profit be x. Therefore, A will get 0.1x for being the

working partner. The remaining 0.9x will get divided in the ratio

5:6:7. Out of this, A will get 5

18× 0.9x while C will get

7

18× 0.9x.

A will get a total of 4

xwhile C will get a total of

7

20

x

Total share of profits received by A = 0.1x +0.25x = 0.35x = 35

100

x

Total share of profits received by C = =7 35

20 100

x x

Required Ratio will be 1:1

14. (a)

Classical Approach:

James : Bond

4000 : 3000

4 : 3

James is salary = 20 × 12 = 240

James total money receive = 360

In profit James share = 360 – 240 = 120

Let Bond profit =x

Therefore 120 = 4

3×x = Rs .90

15. (a)

Classical Approach:

Let the total profit = Rs. z

Profit to be distributed = 95% of z = 19

20

z

∴ Ram's share = Rs. 19 3

20 5

z= Rs.

57

100

z

Now, 57

100

z = 855 or, z =

855 100

57= Rs. 1500

Alternatively:

Aryan's ratio

If 3 855

2 570= So, total profit = 1425

95% = 1425 ⇒ 100% =

Argument:

Answer will be somewhat greater than 1425 but very year to it.

Answer = 1500/-

(Only one option near to 1425 and greater than 1425)

16. (b)

Classical Approach:

Ratio of their initial investment: =2

3

A

B

Let the initial investment of A and B be 2x and 3x respectively.

So +

=2 10000 3

3 2

x

x

So, 4x + 20000 = 9x

or, 5x = 20000 or, x = 4000 2x = 8000

∴ amount invested by A = Rs. 8000.


X : Y : Z

Time 3 : 6 : 12

Capital 4 : 3 : 5

Profit 12 : 18 : 7

2 : 3 : 10

X's share =

2

15 × 3600 = 480


A : B : C = 5 : 6 : 7

+

= = =

510% 90%

35% 1187 35% 190%

18

A

C

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17. (d)

Classical Approach:

Sony : Mony : Tony

20×5 =100 : 20× 5 =100 20×5 =100

15× 7=105 : 16 ×7 = 112 26 × 7 = 182

205 : 212 : 282

Total profit = 66990

Sony’s 69900

699× 205 Rs. 20500

Mony’s 69900

6900×212 = Rs. 21200

Tony’s 69900

699× 282 = Rs. 28200

18. (d)

Classical Approach:

Equivalent contribution of A = 5000 × 6 + 6000 × 6 = 66000

Equivalent contribution of B = 7000 × 3 + 5000 × 6 = 51000

Equivalent contribution of C = 5000 × 4 = 20000

Required Ratio = 66 : 51 : 20

19. (a)

Classical Approach:

A : B : C = 36 : 45 : 55


A will get = .2x + .8x × 36

136= 70,000

= 35

85x = 70,000 ⇒ x = 1,70,000

C's share = 55

136× .8 × 1,70,000 = 55,000

20. (b)

Classical Approach:

First Viral gets Rs. 10,000 per month or Rs. 1,20,000 annually for

his management of the business. The profit now left is Rs. 71,500.

The ratio of sharing by Viral and Akshay will be 90,000 × 12 :

50,000 × 7 = 108 : 35.

Hence Akshay gets

35

143×Rs. 71,500 = Rs. 17,500

21. (d)

Classical Approach:

Suppose a and b be the shares A and B respectively.

A get 250 × 12 = Rs. 3000

∴ Actual profit to be divided = 8750 - 3000 = 5700

Now = =5700

7 12 19

a b= 300

∴ a = 2100; b = 3600

∴ A's share = (3000 + 2100) = Rs. 5100

and B's share = Rs. 3600

22. (b)

Classical Approach:

A : B : C = 12000 : 15000 : 18000 = 4 : 5 : 6


A’s share of salary = 15

So, B’s share in remaining = 85

15× 5 =

85

3

So, 85

3⟶ 8500 ⟹ 1 ⟶ 300

So, A’s share = 15 +85

15× 4 = 15 +

68

3

= +

=45 68 113

3 3× 300 = 11300


Here B has not changed his investment

So, B's ratio will remain same

A : B


New ratio 3 : 2

Making B equal

A : B


New ratio 1 : 6

A has added 5 units = 10,000

1 unit = 2000

Previous investment of A = 4 × 2000 = 8000/-





A : B = 7 : 12

Salary of A = 250 × 12 = 3000

After subtracting 3000 from A's share, the remaining amount should be a multiple of 7.

Option (d)

5100 - 3000 = 2100, which is a multiple of 7


A B C

Actual ratio 4 5 6

Since A takes 15% out of share of B & C

So, we can increase ratio here only

New Ratio A B C

4 5 6

+1.75 –0.75 –0.90

+0.90

5.65 4.25 5.1

OR 11.3×2 17 10.2

Now,

B gets =

17 8500

11.3 2 x=

(AMF = 5 × 100)

x = 11.3 ×2 × 5 × 100 = 11300



23. (a)

Classical Approach:

A B C

Capital 28000 22000 18000

Capital Ratio 14 : 11 : 9

Profit = 40000

A for being working partner,

A get paid from profit & Remaining amount is divided among A,

B & C in capital Ratio.

Salary of A = 40000 × 15

100 = 6000

Remaining = 40000 – 6000 = 34000

B = 11

34 × 34000 = 11000

24. (a)

Classical Approach:

A : B

3 : 2

12 : 8

Total profit = 20


4 = 5

Remaining 20 – 5 = 15 will be distributed in 3 : 2

A will get A and B will get 6

So, new ratio of A : B : C = 9 : 6 : 5

25. (c)

Classical Approach:

Total profit = 358

358 – 42 = 316 will be divided equally

A will get = 158 + 42 = 200

B will get = 158

A : B

Time 4 : 7

Profit 200 : 158

100 : 79

Capital 100

4 :

79

7

700 : 316

175 : 79

Using Aryan's ratio

96 79

768 x= x = 632


A : B : C = 14 : 11 : 9

Share of B will be

11

34 of 85% 40000

=

11 1740000 11000

34 20 =

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1. Let A and B start a partnership firm by investing Rs. 24,000 and Rs.

36,000 respectively. B withdraws after 4 months. Another partner

C joins A 2 months later with Rs. 20,000. If B joins back in the 12th

month, what is the ratio in which the profit earned in 1 year would

be distributed?

A vkSj B 24,000 :- vkSj 36,000 :- ,d lk>snkjh QeZ esa fuos’k djrs

gSA B us 4 ekg ckn iSls fudky fy,A ,d vU; lk>snkj C us 2 efgus

ckj A dks 20,000 :- ds lkFk tkWbZu fd;kA ;fn B iqu% 12 osa efgus esa

'kkfey gksrk gS rks 1 lky esa dek, x, ykHk dk vuqikr D;k gS\

(a) 24 : 15 : 10 (b) 15 : 24 : 10

(c) 10 : 12 : 15 (d) 24 : 10 : 15

2. A, B and C enter into a partnership by making investments in

the ratio 3 : 5 : 7. After a year C invests another Rs. 337600

while A withdrew Rs. 45600. The ratio of investments then

changes to 24 : 59 : 167. How much did A invest initially?

A, B, C ,d O;kikj esa 3 : 5 : 7 ds vuqikr esa iwath yxkrs gsA ,d lky

ckn C, 337600 :- vksj yxkrk gS rFkk A, 45600 fudky ysrk gSA rks

muds iwath dk vuqikr 24 : 59 : 167 gks tkrk gSA A us 'kq: esa fdruk

/ku yxk;k Fkk\

(a) Rs. 141600 (b) Rs. 135000

(c) Rs. 96000 (d) Rs. 45600

3. James and Alice started a business by investing Rs. 2600 and Rs

2400 respectively. After 7 months, they added Rs 600 and Rs.

800 respectively. 33% of the total profit earned after a year is

given in donation. If after giving donation, the difference

between the shares of James and Alice is Rs. 350. Find the total

profit earned after a year.

tsEl o ,fyl ,d O;kikj izkjEHk djrs gSa Øe’k% 2600 o 2400 :i;s

yxkdj 7 efgus ckn mUgksus 600 o 800 vkSj yxk,A dqy ykHk dk

33% nku dj fn;k x;kA nku nsus ds ckn tsEl o ,fyl ds ykHk dk

varj 350 gS rks dqy ykHk Kkr djksA

(a) Rs. 17,000 (b) Rs 25,000

(c) Rs. 18,000 (d) Rs. 12,000

4. James and Bond entered into a partnership for a year in which

James invested Rs 120000 and Bond invested Rs. 70000. After 4

months, James invested Rs 80000 more whereas after 5 months,

Bond invested Rs 30000 more. When two months were left Alice

also joined investing Rs. 400000 as her contribution. If the profit

for the year was 12.5% of 1572000, find the share of James, Bond

and Alice.

tsEl vkSj ckWUM ,d O;kikj 12000 rFkk 70000 :- yxkdj 'kq: djrs gSA

5 efgus ckn tsEl 80,000 :- vksj yxkrk gSA ckWUM 30000 vksj yxkrk gSA

tc nks efgus cprs gS rks ,fyl 40000 :- yxkdj O;kikj esa 'kkfey gks

tkrh gSA ;fn muds ykHk dk 12 % , 1572000 gS rks tsEl] ckWUM o

,fyl dk ykHk Kkr djksA

(a) Rs. 40000, Rs. 104000, Rs . 52500

(b) Rs. 104000, Rs 52500, Rs. 40000

(c) Rs . 52500, Rs . 40000, Rs . 104000

(d) Rs. 78420, Rs . 48645, Rs. 48770

5. K and L start the business, with L investing the total capital of Rs.

40,000 on the condition that K pays L interest @ 8% per annum on

his half of the capital. L is a working partner and receives Rs.1200

per month from the total profit and any profit remaining is equally

shared by both of them. At the end of the year, it was found that the

income of L is twice that of K. Find the total profit for the year?

K vkSj L ,d O;olk; izkjaHk djrs gSA O;olk; dk laiw.kZ /ku 40000 :-

bl 'krZ ij yxkrk gSA fd K /kujkf’k ds vk/ks ij 8% Okkf"kZd nj ls L dks

C;kt nsxkA L ,d lfØ; lk>snkj gksus ds dkj.k 1200 :- izfr ekg ykHk

esa ls izkIr djrk gSA vkSj 'ks"k ykHk nksuksa esa cjkcj&cjkcj caV tkrk gSA o"kZ

ds var esa ;g ik;k x;k fd L fd vk; K dh vk; ls 2 xquk gks okf"kZd ykHk

Kkr djksA

(a) 51400 (b) 52800 (c) 46400 (d) 45600

6. Ten friends, six boys and four girls, started a business in

partnership. Each boy has an equal share of investment and each

girl has exactly three times the share of investment as that of any

of the boy partners. Further, at the end of every financial year each

girl partner first gets 10% interest on her share of investment and

the remaining profit is then divided among all the partners in the

ratio of their respective investments. Find the ratio of the net share

of profit of any of the boy partners to that of the girl partners if the

company made a profit of 35% on sales last year?

nl nksLr 6 yM+ds vkSj 4 yM+fd;ksa us ,d lk>snkjh 'kq: dhA izR;sd

yM+ds ds ikl leku fuos'k jkf'k gS vkSj izR;sd yM+dh ds ikl ,d

yM+ds ls rhu xquk fuos'k jkf'k gSA blds vykok izR;sd foŸkh; o"kZ ds

var ij izR;sd yM+dh dks mlds fuos'k ij igys 10% C;kt fn;k tkrk

gS vkSj 'ks"k ykHk dks lHkh esa muds fuos'k ds vuqikr esa ckaVk tkrk gSA

;fn dEiuh us vafre o"kZ fcØh ij 35% ykHk dek;k gks rks ,d yM+ds

vkSj yM+dh lk>snkj ds e/; ykHk dk vuqikr Kkr djks\

(a) 1 : 2 (b) 2 : 1

(c) 3 : 5 (d) Can’t be determined

(e) None of these

7. Nisha, Esha and Ayesha start a business with Rs. 30,000, Rs.

40,000 and Rs. 50,000 respectively. Nisha stays for the entire

year. Esha leaves the business after two months and rejoins

after another four months but only with 75% of her initial

capital. Ayesha leaves after three month and rejoins after

another 5 months but only with 80% of her capital. If the annul

profit Rs. 27,900, then calculate how much more money than

Esha did Ayesha get

fu'kk] bZ'kk vkSj vkbZ'kk us Øe'k% 30]000 :i;s] 40]000 :i;s vkSj

50]000 :i;s ls ,d O;olk; 'kq: fd;kA fu'kk iwjs lky jghA bZ'kk

us 2 ekg ckn O;olk; NksM+ fn;k vkSj mlds 4 ekg ckn 75% izkjfEHkd

1

2

Exercise - 3 Level - 3



iwath ds lkFk iqu% 'kkfey gqbZA vk;'kk us 3 ekg ckn NksM+ fn;k vkSj

mlds 5 ekg ckn 80% iwath ds lkFk fQj ls 'kkfey gqbZA ;fn okf"kZd

ykHk 27]900 :i;s Fkk rks Kkr djksA vkbZ'kk dks bZ'kk ls fdruh vf/kd

jkf'k izkIr gqbZ\

(a) Rs. 1800 (b) Rs. 2500

(c) Rs. 3000 (d) Rs. 1500

(e) None of these

8. A, B and C enter into a partnership and their shares are in ratio

1 5: :

3 4 12, after 3 months B withdraws half of his capital, after 2

more months A withdraws 3

8th of his investment and after 3

more months C withdraws half of his investment. What is the

share of C in a profit of Rs. 35,20,000 at the end of the year (in

lac of rupees)?

A, B rFkk C us ,d O;kikj 'kq: fd;kA rhukas us Øe'k% 1 1 5

: :3 4 12

ds

vuqikr esa iwath fuos'k dhA 3 eghus ckn B us viuh iwath dh vk/kh iawth

fudky yhA 2 vkSj eghus ckn A us viuh iwath dk 3

8Hkkx fudky fy;k

rFkk vxys rhu eghus ckn C viuh iawth dk vk/kk Hkkx fudky ysrk gSA

lky ds var esa 35]20]000 :i;s esa ls C dk fgLlk Kkr djks\

(a) 15 (b) 15.5

(c) 16 (d) 17.5

9. A starts a small business by investing a certain sum of money.

B joins A after three months from the start of the business by

investing 1.5 time A’s investment. Three months after B joined

the business, C joins A and B by investing half of A’s investment.

It was agreed that the working partner would receive 10% of

the profit and the share according to the investment proportion

from the rest of the profit. If total profit at the end of the year

was Rs. 23750, how much will A, being the only working

partner receive?

A us fuf’pr /kujkf’k ls ,d NksVk O;kikj vkjaHk fd;k A B us A ds 1.5

xquk jkf’k 3 ekg ckn yxkdj O;kikj esa 'kkfey gks x;kA B ds 'kkfey

gksus ds 5 ekg ckn C, A dh /kujkf’k dk vk/kk yxkdj O;kikj esa

lfEefyr gqvkA rhuksa esa r; gqvk fd ykHk dk 10% lfØ; lk>snkj dks

feysxk vkSj 'ks"k ykHk fuos’k dh jkf’k ds vuqikr esa ckaV fy;k tk;sxkA

;fn o"kZ ds var esa ykHk 23750 gks rks A lfØ; lk>snkj gksus ls fdruk

/ku izkIr djsxk \

(a) 11375 (b) 12375 (c) 16375 (d) 13375

10. A and B are partners in a firm out of which A is sleeping partner

and B is working partner. A invests Rs. 1,40,000 and B invests

Rs. 80,000. B receives 14.5% of profit for managing the

business and the rest is shared between both in ratio of their

investments. A's share in the profit of Rs. 19600 is ?

A vkSj B ,d O;olk; esa lk>snkj gSA ftlesa A fuf"Ø; lk>snkj vkSj B

lfØ; lk>snkj gSA A, 1,40,000 vkSj B, 80,000 O;olk; esa fuos’k djrs

gSA B lfØ; lk>snkj gksus ds ukrs O;olk; dks pykus ds fy, ykHk esa ls

14.5% Hkkx ysrk gSA vkSj 'ks"k ykHk A vkSj B esa muds fuos’k ds vuqikr

esa ckaVk tkrk gSA ;fn ykHk 19600 :- gks rks A dk fgLlk gksxk\

(a) 9580.25 (b) 10664.15

(c) 11060.48 (d) 10600

11. A, B and C partners in a business. Their capitals are respectively

Rs. 5000, Rs. 6000, and Rs. 4000.A gets 30% of the total profit

for managing the business. The remaining profit is divided

among three in the ratio of their capitals. In the end of the year,

the profit of A is Rs. 200 more than the sum of the profits of B

and C. Find the total profit.

A, B, C us Øe’k% 5000, 6000, 4000 yxkdj O;kikj 'kq: fd;kA A dks

dqy ykHk dk 30% feyk O;kikj pykus ds fy,A cpk gqvk ykHk mUgksus

iwath ds vuqikr esa ckaV fy;kA o"kZ ds var esa ;fn A ds }kjk dek;k

gqvk ykHk B rFkk C ds }kjk dek,a x, ykHk ls 200 :i;s T;knk gS rks

dqy ykHk crkvks \

(a) 2000 (b)3050 (c) 3000 (d) 7500

12. A partnership business has a capital of Rs. 40,000 of which one

half is contributed by Asifa and the other half contributed

equally by Bhumika and Celina. They hire Jyoti as manager and

agree to pay her 10% of the gross profit. Bhumika and Celina

are also paid 5% each thereof before the distribution of profit

in proportion to their investment. Find the shares of Asifa,

Bhumika, Celina and Jyoti out of a total profit of Rs. 12,600.

,d lk>snkjh O;olk; esa 40]000 :i;s iawth gS ftlesa ls vk/kh vkflQk

dh gS vkSj vU; vk/kh Hkwfedk vkSj lsyhuk us leku :i ls nh gSA mUgksus

T;ksfr dks eSustj dh rjg j[kk vkSj mls dqy ykHk dk 10% nsus ij

jkth gq;sA Hkwfedk vkSj lsyhuk dks Hkh izR;sd dks 5% fn;k x;kA dqy

ykHk 12]600 :i;s esa ls vkflQk] Hkwfedk] lsyhuk vkSj T;ksfr dk 'ks;j

Kkr djks\

(a) Rs. 5040, 3150, 3150, 1260

(b) Rs. 5000, 3150, 3150, 1300

(c) Rs. 1300, 3150, 3150, 500

(d) Rs. 1260, 3150, 3150, 5040

(e) None of these

13. A, B and C started a business by investing Rs. 72000, Rs. 27000

and Rs. 81000. It was decided that servant’s salary Rs. 2000 per

month should be given from the profit. If the profit is Rs. 25000

in the first month and Rs. 20000 in the second month and

average profit of remaining 10 months is Rs. 21000, find the

share of C.

A, B rFkk C Øe’k% 72000 :] 27000 : rFkk 81000 :- yxk dj O;kikj

'kq: djrs gSA ;g r; fd;k tkrk gS ukSdj dh 2000 :- dh osru ykHk

ls fn;k tk,xk ;fn igys eghus dk ykHk 25000] nwljs eghus dk ykHk

20000 rFkk 'ks"k 10 eghus dk vkSlru ykHk 21000 :- gks rks C dk

fgLlk Kkr djksA

(a) Rs. 34650 (b) Rs. 92400

(c) Rs. 10000 (d) Rs. 103950

14. Ram, Shyam and Ghanshyam invest Rs. 2000, Rs. 10000 and Rs.

5000 to set up a stall. Ram gets 15% of the total profit for running

the stall. If in a year, Ram gets Rs. 500 less than Shyam and

Ghanshyam together, then the total profit of that year is :

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jke] ';ke rFkk /ku’;ke Øe’k% 2000 :] 10000 rFkk 5000 :- fuos’k

djrs gSA jke LVkWy dks O;ofLFkr djus ds fy, 15% dqy ykHk dk

ysrk gSA lky esa jke ';ke rFkk /ku’;ke ls 500 :- de ysrk gS rks

lky dk dqy ykHk Kkr djksA

(a) Rs. 1000 (b) Rs. 2000 (c) Rs. 1500 (d) Rs. 3000

15. A, B and C invested Rs. 900, Rs. 1600 and Rs. 700 respectively.

After first quarter they invested additional amount in the ratio

of 2 : 5 : 3 . After second quarter they invested additional

amount in the ratio of 4 : 3 : 4. Again 3rd quarter they invested

addition amount in the ratio of 7 : 6 : 7. If the sum of the total

amount invested by A and B in the year is Rs. 9000 and that of

B and C is Rs. 10500 then find the total amount invested by all

of them for only 2nd quarter.

A, B, C Øe’k% 900, 1600 rFkk 700 :- O;kikj esa yxkrs gSA igys

prqZFkkal ds ckn os vksj iwath 2 : 5 : 3 ds vuqikr esa] nwljs prqZFkkal ds

ckn os 4 : 3 : 4 ds vuqikr esa rFkk iqu% rhljs prqZFkkal ds ckn 7 : 6 :

7 ds vuqikr esa iwath yxkrs gS ;fn A + B }kjk dqy 9000 :- fuo s’k

fd;k x;k gSA rFkk B + C }kjk dqy 10500 :- fuos’k fd;k x;k gSA

rks crkvks dqqy fdruh iwath muds }kjk nwljs prqZFkkal esa yxkbZ xbZA

(a) 17000 (b) 1700 (c) 27000 (d) 10000

16. The manager (M) of the company along with his Assistant

Manager (AM) and a Business Analyst (BA) invest Rs. 55000, Rs.

45000 and Rs. 60000 respectively in a partnership firm for six

months. The Manager being the highest authority among the

three gets one-tenth of the total profit and Assistant Manager

being second highest authority gets 1/20th of the remaining and

the remaining profit is divided among the three in the ratio of

their investments. If the total profit was Rs. 40000, who gets the

minimum share and how much?

,d eSustj (M) mlds lgk;d eSustj (AM) vkSj O;kikj lgk;d (BA)

,d lk>snkjh QeZ esa 6 efgus ds fy, Øe’k% 55000 :] 45000 : vkSj

60000 :- fuos’k djrs gSA eSustj loksZPp vf/kdkjh gksrs gq, dqy ykHk

dk 1/10 Hkkx ysrk gS vkSj lgk;d eSustj nwljk loksZPp vf/kdkjh gksrs

gq, 'ks"k dk 1/20 ysrk gS vkSj 'ks"k ykHk dks muds fuos’k ds vuqikr esa

ck¡Vk tkrk gSA ;fn dqy ykHk 40,000 :- Fkk rks fdls u;wure fgLlk

feyk vkSj og fdruk FkkA

(a) BA, Rs. 11400 (b) AM, Rs. 11419

(c) AM, Rs. 12500 (d) None of these

17. Rex and David started a business in partnership. Rex invested

a capital of Rs. 50000. David agrees to pay Rex an interest on

half the capital at 8% per annum. Also David receives a salary

of Rs. 500 per month for managing the business. After six

months Rex withdraws Rs. 20000 and David pitches in an equal

amount. David continues to pay Rex interest at 8% per annum

for the balance amount. At the end of the year they divide the

profit equally and found that total earning of David in the year

was exactly thrice that of Rex. What was the total profit?

jSDl vkSj MsfoM us ,d O;olk; 'kq: fd;kA jSDl us 50000 :- dh

iw¡th fuos’k dhA MsfoM] jSDl dks mldh vk/kh iw¡th ij 8% izfr o"kZ

C;kt nsus dks jkth gks x;kA MsfoM dks O;olk; laHkkyus ds fy, 500

:- izfr ekg osru fn;k tkrk gSA 6 efgus ckn jSDl us 20000 :-

fudky fy, vkSj MsfoM us leku jkf’k fuos’k dhA MsfoM us jSDl dks

'ks"k jkf’k ij 8% izfro"kZ C;kt nsuk tkjh j[kkA o"kZ ds var ij mUgksaus

ykHk dks cjkcj ck¡V fy;kA vkSj ik;k dh o"kZ esa MsfoM dh dqy vkenuh

jSDl dh rhu xquk FkkA rks dqy ykHk D;k Fkk\

(a) Rs. 7200 (b) Rs. 6800 (c) Rs. 5400 (d) Rs. 4800

18. A and B started a business by investing Rs. 36,000 and Rs.

45,000 respectively. After 4 months B withdraws 4

9 of his

investment. Its 5 months after she again invested 11

9 of its

original investment. If the total earned profit at the end of the

year, is Rs. 1,17,240 then who will get more money as a share

of profit and how much?

A vkSj B fdlh O;kikj esa Øe’k: 36,000 : rFkk 45,000 : yxkdj

'kq:vkr djrh gSaA 4 eghus ckn B viuh iw¡th dk 4

9 Hkkx fudky ysrh gSA

mlds 5 eghus ckn og viuh ewy iw¡th dk 11

9 Hkkx iqu: fuos’k dj nsrh

gSA ;fn o"kZ ds vUr esa 1,17,240 : dk ykHk gks] rks ykHk esa ls fdldks

vkSj fdrus :Ik;s vf/kd izkIr gksaxs\

(a) A, Rs. 15,500 (b) B, Rs. 12,450

(c) A, Rs. 14,245 (d) B, Rs. 13,560

19. A and B start a business, A put in double of what B puts. A

withdraws 1

3 of his stock at the end of 3 months but at the end

of 7 months puts back 1

3 of what he has taken out, when B

takes out 1

4 of his stock. if profit at the end of the year is Rs.

300, what does B receive?

A vkSj B us ,d O;olk; 'kq: fd;kA A us B ls nqxquk /ku yxk;kA A

us 3 efguksa ds var ij 1

3 Hkkx fudky fy;k] fdarq 7 efguksa ds var

ij mlds fudkys gq, /ku dk 1

3 Hkkx mlus fuos'k dj fn;kA B us Hkh

blh le; 1

4 Hkkx fudky fy;kA o"kZ ds var ij 300 #- dk ykHk

gqvkA B dks fdruh jkf'k feyhA

(a) Rs. 108 (b) Rs. 273

(c) Rs. 192 (d) Rs. 208

20. Three hikers A, B and C start on a trip with Rs. 50 each and

agree to share the expenses equally. If at the end of the trip, A

has Rs. 20 left with him, B Rs. 30 and C Rs. 40, how must they

settle their accounts?

3 ;kf=;ksa A, B vkSj C izR;sd 50 #- ds lkFk ;k=k 'kq: djrs gS vkSj

cjkcj O;; nsus ij jkth gks tkrs gSA ;fn ;k=k ds var esa A ds ikl

20 #-] B ds ikl 30 #- vkSj C ds ikl 40 #- cps rks mUgsa viuk [kkrk

dSls r; djuk pkfg,A

(a) C must pay Rs. 10 to A (b) A must pay Rs. 10 to B

(c) A must pay Rs. 10 to C (d) Can't be settled

21. Two partners invest Rs. 6280 and Rs. 3768 respectively in a

business and agree that 30% of the profit should be divided

equally between them and the remaining profit is to be treated

as interest on capital. If one partner gets Rs. 700 more than the

other, find the total profit made in the business.



nks lk>snkjksa us Øe'k% 6280 #- rFkk 3768 #- ,d O;olk; esa fuos'k

fd, vkSj bl ckr ij lger gq, fd 30% ykHk nksuksa esa cjkcj c¡Vk

vkSj 'ks"k dks iw¡th ij C;kt ds :i eas ekuk x;kA ;fn ,d lk>snkj dks

vU; ls 700 #- vf/kd feys rks O;olk; esa dqy fdruk ykHk gqvkA

(a) 4000 (b) 3800

(c) 4125 (d) 4500

22. Three partners A, B and C invested Rs. 42,000, Rs. 48,000 and

Rs. 32,000 respectively. Partnership condition is that, each will

get interest on his capital at the rate of 7% p.a. and the

remaining profit will be divided in the raito of their capitals. If

at the end of the year the total profit is Rs. 32,940, then find the

share of A in profit.

fdlh O;kikj esa rhu lk>snkj A, B rFkk C Øe’k: 42,000 :] 48,000 :

rFkk 32,000 : fuos’k djrs gSaA lk>snkjh dh 'krZ ;g gS fd izR;sd

viuh iw¡th ij 7% okf"kZd nj ls C;kt ysxk tks ykHk eas ls gh fn;k

tk,xk rFkk 'ks"k ykHk os fuosf’kr iw¡th ds vuqikr esa ck¡VsxsaA ;fn ,d

o"kZ ds vUr esa dqy 32,940 : dk ykHk gqvk gks] rks mleas ls A dk

fgLlk D;k gksxk\

(a) Rs. 12,960 (b) Rs. 11,340

(c) Rs. 8,640 (d) None of these

23. In a business A and B gained some amount in a certain ratio. B

and C received the profit in the ratio as that of A and B. If A

received Rs. 6,400 and C received Rs. 10,000. Find the share of

B

,d O;kikj esa A rFkk B dks ,d fuf’pr vuqikr esa ykHk gqvkA B rFkk C

dks Hkh mlh vuqikr esa ykHk gqvk ftl vuqikr esa A rFkk B dks gqvk FkkA

;fn ykHk esa ls A dks 6400 : rFkk C dks 10,000 feys rks B dks fdrus

:Ik, feys\

(a) Rs. 2,000 (b) Rs. 4,000

(c) Rs. 8,000 (d) Rs. 10,000

24. A and B share profits and losses in a firm in the ratio of 3:2. C

entered in this firm as a new partners, his profit sharing ratio is 1

4.

If C has taken his share of profit form A and B in equal ratio, then

the new profit-sharing ratio will be:

,d daiuh esa A vkSj B ds ykHk rFkk gkfu dks vuqikr 3:2 esa ck¡Vrs gSaA

,d u, lk>snkj ds :Ik esa C daiuh esa vkrk gS mlds ykHk dh fgLlsnkjh 1

4 Hkkx gSA ;fn C us A vkSj B ls leku vuqikr esa viuk ykHkka’k fy;k gS

rks ykHkka’k dk u;k vuqikr D;k gksxk\

(a) 19:11:1 (b) 19:11:10

(c) 10:11:9 (d) 10:11:19

25. A, B and C share profit in the ratio of 1

4:1

6:7

12. If C retires, they

share the profit of C in the ratio of 4:5 respectively. The new

profit-sharing ratio of A and B will be:

A, B rFkk C ds ykHkka’k dk vuqikr 1

4:1

6:7

12 gSA ;fn C lsokfuo`Ùk gks tkrk

gS] rks os C ds fgLls ds ykHk dks vkil esa Øe’k: 4:5 ds vuqikr esa ck¡Vrs

gSa] rks A rFkk B ds ykHkka’k dk u;k vuqikr D;k gksxk\

(a) 55:53 (b) 53:55

(c) 5:3 (d) 3:5

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Solutions

Answer Key 1 a 2 a 3 b 4 b 5 b 6 d 7 d 8 c 9 a 10 b 11 c 12 a 13 d 14 a 15 a 16 b 17 a 18 d 19 a 20 a 21 a 22 b 23 c 24 b 25 a

1. (a)

Classical Approach:

A’s contribution = 24,000 × 12

B’s contribution = 36,000 × (4 + 1)

C’s contribution = 20,000 × 6

The required ratio = (24 × 12) : (36 × 5) : (20 × 6)

= 24 : 15 : 10

2. (a)

Classical Approach:

Their investment ratio = A : B : C 3 : 5 : 7

Let their investment = A= 3x , B = 5x , C = 7x

After a year their investment = A = 3x - 45600

B = 5x , C = 7x + 337600

Therefore −

=3 45600 24

5 59

x

x

59x – 896800 = 40x x= 47200

A ‘s initial salary = 47200 × 3 = Rs. 141600

3. (b)

Classical Approach:

Their investment ratio

James : Alice = 2600 : 2400 13 : 12

Their profit ratio = 2600 × 7 + 3200 × 5 : 2400 × 7 + 3200 × 5

171 : 164


after giving donation, Remaining profit = x × 67

100

Hence, x ×67

100×

7

335 = 350 x = Rs. 25000

4. (b)

Classical Approach:

Their profit ratio James : Bond : Alice

120000×4 + 200000×8 : 70000×5 + 100000×7 : 400000×2

208 : 105 : 80

Profit = 1572000 × 12.5

100= 1572 × 125

Share of James = 208

393× 1572 × 125 = 104000

Share of Bond = 105

393× 1572 × 125 = 52500

Share of Alice = 80

393× 1572 × 125 = 40000

5. (b)

Classical Approach:

Interest Received by L from k = 8 % of half of 400

= 8% of 2000 = 1600

Amount received by L per annum for being

A working partner = 1200 × 12 = 14400

Let ‘A’ be the part of remaining profit that ‘L’ receive as his

share

Total income of k = A - 1600

Given income of L = Twice the income of K

1600 + 14400 + A = 2A - 3200 A = 19200

∴ Total profit = 2A + 14400 ⇒ 38400 + 14400 = 52800

6. (d)

Classical Approach:

Let each boy invested Rs. 100

Then the each girl invested Rs. 100 × 3 = Rs. 300

Thus the total capital is

6 × 100 + 4 × 300 = Rs. 1800

Let K be the total sales of the last year

Then profit = 0.35 K

Now interest paid to each girl is

10% of 300 = Rs. 30

∴ Total interest paid = Rs. 120

Now Total share of each girl partner

300

1800(0.35K - 120) + 30

Similarly total share of each boy partner is

100

1800 (0.35K - 120)

Since the value of K is not known so the answer can not be

determined.

7. (d)

Classical Approach:

Nisha invested Rs. 30,000 for 12 months

Esha invested Rs. 40,000 for 2 months and Rs. 30,000 for 6 months.

❖ Neon Approach:(Thought Process)

James : Bond : Alice = 208 : 105 : 80

Share of James is approximately twice that of Bond.

Only option (b) satisfies.



Ayesha invested Rs. 50,000 for 3 months and Rs. 40,000 for 4 months

∴ The amount profit will be divided in the ratio

= 30 × 12 : [40 × 2 + 30 × 6] : [50 × 3 + 40 × 4]

= 360 : 260 : 310 = 36 : 26 : 31

∴ Esha's share = 26 × 27900

93= Rs. 7800

Ayesha's share = 31

93× 27900 = Rs. 9300

∴ Ayesha gets Rs. 1500 more than Esha.

8. (c)

Classical Approach:

A : B : C = 1 1 5

: :3 4 12

= 4 : 3 : 5 = 8 : 6 : 10

A : B : C = 8 × 5 + 5 × 7 : 6 × 3 + 3 × 9 : 10 × 8 + 5 × 4

= 75 : 45 : 100 = 15 : 9 : 20

C's share =20

44× 35,20,000 = 16,00,000

9. (a)

Classical Approach:

A : B : C = Capital Ratio = 2 : 3 : 1

Time = 12 : 9 : 6 Time ratio 4 : 3 : 2

∴ Profit Ratio = 8 : 9 : 2

∵ Share of A = 10% of profit + 8

19of Remaining profit

= 10

100× 23750 +

8

19× 23750 ×

90

100

= 2375 + 9000 = Rs. 11375

10. (b)

Classical Approach:

Profit receive by china as working partner = 14.5% of 19600

= 14.5 ×19600

100= 2842

∴ Balance profit = 19600 – 2842 = 16758

Ratio of investment of China in investment = 4 : 7

Hence share of china in investment = 4 16758

100= 6093.85

∴ Share of A = 19600 – 2842 – 6093.85 =Rs. 10664.15

11. (c)

Classical Approach:

Their investment ratio A : B : C = 5 : 6 : 4

Let total profit = 150 unit

Hence a’s commission for managing the business

= 150 × 30

100 = Rs. 45

Therefore, A’s profit = 5

15× 105 = 35

(B + C)’s profit = 10

15× 105 = 70

A’s total profit = 35 + 45 = 80

According to question difference between profit of A and B, C

together = 80 – 70 = 10

10 =200, 150 = 200

10× 150 = Rs. 3000

12. (a)

Classical Approach:

Asifa contributed 1

2× 40,000 = Rs. 20,000

Bhumika contributed 1

2× 20,000 = Rs. 10,000

and Celina contributed = Rs. 10,000

Ratio of the investments of

∴ Asifa's : Bhumika : Celina

20,000 : 10,000 : 10,000 = 2 : 1 : 1 = 2 + 1 + 1 = 4

Total profit = Rs. 12,600

Payment to Jyoti = 10% of Rs. 12,600 = Rs. 1260


A : B : C = 8 : 9 : 2

B + C will get =

11

19 of 90% of 23750

= =

11 923750 12375

19 10

A will get = 23750 – 12375 = 11375


A : B = 7 : 4

A will get

7

11 of 85.5% of 19600

= =

7 85.519600 10664.1818

11 100


A B C

Actual ratio 5 6 4

New ratio 5 6–1.8 4–1.2

+1.8

+1.2

8 4.2 2.8

Now difference in A and B + C = 1

Aryan ratio

1 200

15 3000=

Total profit = 3000

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Payment to Bhumika = 5% of 12,600 = Rs. 630

Payment of Celina = Rs. 630

∴ Net profit : Rs. (12600 - 1260 - 630 - 630)

= Rs. 10080

∴ Asifa's share in the net profit

2 × 10080

4= Rs. 5040

Bhumima's share = 1 × 10080

4= Rs. 2520

Celina's share = 1 × 10080

4= Rs. 2520

∴ Asifa share in the profit = Rs. 5040

Bhumika's share in the profit =

Rs. 2520 + Rs. 630 = Rs. 3150

Celina's share in the profit = Rs. 2520 + Rs. 630

= Rs. 3150 and Jyoti's share in the profit = Rs. 1260

13. (d)

Classical Approach:

Total annual profit = 25000 + 20000+ 210000 × 10

= Rs. 255000

Actual profit = Rs. 255000 – (2000 × 12) = Rs. 231000

Total investment = 72000 + 27000 + 81000 = Rs. 180000

A’s share =72000

180000× 231000 = Rs. 92400

B’s share =27000

180000× 231000 = Rs. 34650

C’s share =81000

180000× 231000 = Rs. 103950

14. (a)

Classical Approach:

85% of the total profit is divided in the ratio

2 : 10 : 5.

85% of total profit = 2x + 10x + 5x = 17x

Total profit =17

85%

x= 20x

∴ Share of Ram in the profit = 2x + 15% of 20x

= 2x + 3x = 5x

Share of Shyam in the profit = 10x

Share of Ghanshyam in the profit = 5x

Now, (10x + 5x) – 5x = 500 10x = 500 x = 50

∴ Total profit = 20 × 50 = Rs. 1000

15. (a)

Classical Approach:

Total investment of A = 900, B = 1600, C = 700

After first quarter A= 2K, B = 5K, C = 3K

After second quarter A = 4P, B = 3P, C = 4P

After third quarter A = 7s, B = 6s, C = 7S

Total, A = 900 + 2k + 4p + 7s

B = 1600 + 5 k + 3p + 6s

C = 700 + 3k + 4p + 7s

Hence total investment of A and B = 9000

900 + 2k + 4p + 7s + 1600 +5k + 3p + 6s = 9000

7k + 7p + 13s = 6500 ……(i)

And total investment of B and C = 10500

1600 + 5k + 3p + 6s + 7000 + 3k + 4p + 7s= 10500

8k + 7p +13s = 8200 ...…(ii)

Eq (i) and (ii)

8k + 7p +135 = 8200

7k +7p +135 = 6500 K = 1700

Total invest of all in 2nd quarter = 2k + 5k + 3k = 10k

= 10 × 1700 = Rs. 17000


Jyoti's share = 10% of 12600 = 1260

only option (a) satisfies.


A : B : C = 8 : 3 : 9

Actual profit = Rs. 255000 – (2000 × 12) = Rs. 231000

Share of C will be highest and a multiple of 9

Option (a) and (d) are multiple of 9 but amount in option

(a) is very less.

Hence, option (d) is correct.


R S G

2 10 5

Ram will take 15% share of S and G.

New ratio

R S G

2 10 5

+1.5 –1.5 –0.75

+1.75

4.25 8.5 4.25

Difference between share of Ram from Shyam and Ghanshyam together = 8.5

Aryan ratio

8.5 500

17 1000=

(AMF = 2)

Total profit = 1000



16. (b)

Classical Approach:

The ratio of their investments is 11 : 9 : 12.

So, the Manager gets 1

10(40000) = 4000 + his share

Remaining amount = 36000.

Assistant Manager gets 1

20(36000) = 1800 + his share.

Remaining amount = 36000 – 1800 = 34200

∴ M’s share =11

32× 34200 + 4000 = 11756.25 + 4000

= Rs. 15756.25 ≅ Rs. 15756

AM’s share =9

32× 34200 + 1800 = 9618.75 + 1800

= Rs. 11418.75 ≅ Rs. 11419

BA’s share =12

32× 34200 = Rs. 12825.

17. (a)

Classical Approach:

Interest paid by David to Rex for first six months

= 50000 8 1

2 100 2= Rs. 1000

For last six months =−

30000 20000 8 1

2 100 2= Rs. 200

∴ Total salary paid to David = 12 × 500 = Rs. 6000

Let the total profit be Rs. x

Rex’s earning = 1200 + −6000

2

x

David’s earning = 6000 +−6000

2

x – 1200

∴ 3−

+

60001200

2

x= 4800 +

−6000

2

x

3600 + 3

2

x – 9000 = 4800 +

2

x – 3000

∴3

2

x-

2

x= 7200; ∴ x = Rs. 7200.

18. (d)

Classical Approach:

A : B = 36 × 12 : 45 × 4 + 25 × 5 + 80 × 3

= 432 : 180 + 125 + 240 = 432 : 545

B will get more than A.

Extra amount = 545 432

545 432

−

+ × 117240

= 113

977 × 117240 = 13560

19. (a)

Classical Approach:

A : B = 2 : 1 = 72 : 36

A : B = 72 × 3 + 48 × 4 + 56 × 5 : 36 × 7 + 27 × 5

= 216+ 192 + 280 : 252 + 135 = 688 : 387 = 16 : 9

Share of B = 9

25 × 300 = 108

20. (a)

Classical Approach:

Total money = 150

Money left = 20 + 30 + 40 = 90

Expenditure = 150 – 90 = 60

Each should pay 20

A B C

Amount paid 30 20 10

Expenses 20 20 20

So, C will pay Rs. 10 to A

21. (a)

Classical Approach:

I : II = 6280 : 3768

1570 : 942 = 10 : 6 = 5 : 3

Using Aryan's ratio

2 8

700 x= x = 2800

But 2800 is only 70% of profit

So, total profit = 2800 × 10

7 = 4000

22. (b)

Classical Approach:

A : B : C = 42 : 48 : 32 = 21 : 24 : 16

A + B + C = 61

7% of (A + B + C) = 7

100 × 122000 = 8540

Net profit = 32940 – 8540 = 24400

A will get = 42000 × 7

100 + 24400 ×

21

61

= 2940 + 8400 = 11340

23. (c)

Classical Approach:

A : B : C

a : b

a : b

a2 : ab : b2

a2 = 64000 a = 80

b2 = 10000 b = 100 ⇒ ab = 8000


Share of A will be a multiple of 7. Only option (b) satisfies.

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24. (b)

Classical Approach:

A : B = 3 : 2 = 24 : 16 Let total profit = 40


4 = 10 and he will take 5 from A and 5 from

B.

So, share of A = 24 – 5 = 19

Share of B = 16 – 5 = 11

So, new ratio = A : B : C = 19 : 11 : 10

25. (a)

Classical Approach:

A : B : C = 1 1 7

: :4 6 12

= 3 : 2 : 7 = 27 : 18 : 63

After retirement of C, share of C will be divided in 4 : 5.

A will get 4

9 × 63 = 28 and B will get

5

9 × 63 = 35

New ratio of A : B = 27 + 28 : 18 + 35 = 55 : 53



1. In a partnership business, B’s capital was half of A’s. If after 8 months,

B withdrew half of his capital and after 2 months more A withdrew

1/4 th of his capital, then the profit ratio of A and B will be

,d lk>k dkjksckj esa B dh iw¡th A ls vk/kh FkhA ;fn 8 ekg ckn B us viuh

vk/kh iw¡th fudky yh gks vkSj mlds 2 ekg ckn A us viuh 1/4 iw¡th fudky

yh gks] rks A vkSj B ds ykHk dk vuqikr fdruk gksxk\

(a) 5 : 2 (b) 10 : 23

(c) 2 : 5 (d) 23 : 10

(SSC CGL 2014 Tier - II, 12.04.2015)

2. A and B entered into a partnership investing Rs. 16000 and Rs.

12000 respectively. After 3 months A withdrew Rs. 5000 while B

invested Rs. 5000 more. After 3 more months C joins the business

with a capital of Rs. 21000. The share of B exceeds that of C, out of

a total profit of Rs. 26400 after more one year by

A vkSj B us ,d lk>snkjh dh vkSj Øe’k% 16000 :i, vkSj 12000 :i,

dk fuos’k fd;kA 3 eghus ds ckn A us 5000 :i, fudky fy, vkSj B us

5000 :i, vkSj fuos’k fd,A vkxs rhu eghuksa ds ckn C us 21000 :i,

dh iawth yxkdj dkjksckj esa 'kkfey gks x;kA ,d o"kZ ckn 26400 :i,

ds ykHk esa B dk fgLlk C fdruk vf/kd gS\

(a) Rs. 2400 (b) Rs. 1200

(c) Rs. 3600 (d) Rs. 4800

(SSC CGL Tier - I, 09.08.2015)

3. In a business A and C invested amounts in the ratio 2 : 1, whereas

A and B invested amounts in the ratio 3 : 2. If their annual profit

be Rs. 157300, then B’s share in the profit is

A vkSj C ,d O;olk; esa 2 : 1 ds vuqikr esa fuos'k djrs gSaA tcfd A vkSj

B, 3 : 2 esa fuos'k djrs gSA ;fn mudk okf"kZd ykHk 157300 :i;s gS rks

B dk ykHk esa 'ks;j fdruk gS\

(a) Rs. 24200 (b) Rs. 48000 (c) Rs. 36300 (d) Rs. 48400

(SSC CHSL LDC, DEO, 01.11.2015)

4. A, B and C together start a business. Three times the investment

of A equals four times the investment of B and the capital of B is twice that of C. The ratio of share of each in the profit is

A, B vkSj C ,d lkFk feydj dksbZ dkjksckj 'kq: djrs gSaA A ds }kjk fd,

x, fuos’k dk rhu xquk B ds fuos’k ds pkj xquk ds cjkcj gS vkSj B dh

iawth C dh iwath dh nksxquh gSa ykHk esa izR;sd ds fgLls dk vuqikr crkb,A

(a) 8 : 3 : 6 (b) 3 : 8 : 6 (c) 3 : 6 : 8 (d) 8 : 6 : 3

(SSC CGL 2016 Tier - II, 30.11.2016)

5. A and B start an enterprise together, with A as active partner. A

invests Rs. 4000 and Rs. 2000 more after 8 months. B invests Rs.

5000 and withdraws Rs. 2000 after 9 months. Being the active

partner, A takes Rs. 100 per month as allowance, from the profit.

What is the share of B if the profit for the year is Rs.6700?

A vkSj B nksuksa feydj ,d m|e 'kq: djrs gSa ftlls A lfØ; Hkkxhnkj ds

:Ik esa dk;Z djrk gSA A blesa 4000 :i, dk fuos’k djrk gS vkSj 8 eghus

ckn fQj 2000 :i, fuos’k djrk gSA B blesa 5000 :i, fuos’k djrk gS

ysfdu 9 eghus ckn blesa ls 2000 :i, fudky ysrk gSA lfØ; Hkkxhnkj

gksus ds ukrs A ykHk esa ls HkÙks ds :Ik esa izfrekg 100 :i, ysrk gSA ;fn

o"kZ esa 6700 :i, dk ykHk gqvk gS rks B dk 'ks;j D;k gksxk\

(a) Rs. 3350 (b) Rs. 3250

(c) Rs. 2700 (d) Rs. 2800

(SSC CGL 2016 Tier - II, 12.01.2017)

6. A, B and C invested Rs. 13,000, Rs. 17,000 and Rs. 5,000

respectively in a business. At the end of the year, they earn a profit

of Rs. 1400. B’s share of profit is

A, B vkSj C us fdlh dkjksckj esa Øe’k: 13,000 :] 17,000 :- vkSj 5,000

: dk fuos’k fd;kA o"kZ ds var esa] mUgsa 1,400 :- dk ykHk izkIr gqvkA B

ds ykHk dk fgLlk fdruk gS\

(a) Rs. 680 (b) Rs. 410

(c) Rs. 630 (d) Rs. 720

(SSC MTS, 30.04.2017)

7. Raman, Rohit and Raja are partners and invest in a business.

Raman invests 1/4 th of total and Rohit invests 1/3 rd of the total.

What is the ratio of the profit of Raman, Rohit and Raja

respectively?

jeu] jksfgr rFkk jktk lk>snkj gSa rFkk ,d O;kikj eas fuos’k djrs gSaA jeu

dqy fuos’k dk 1/4 Hkkx rFkk jksfgr dqy fuos’k dk 1/3 Hkkx fuos’k djrk

gSA Øe’k% jeu] jksfgr rFkk jktk ds ykHk dk vuqikr D;k gS\

(a) 4 : 3 : 1 (b) 3 : 4 : 4

(c) 3 : 4 : 5 (d) 4 : 3 : 5

(SSC CAPFs ASI & Delhi Police SI, 02.07.2017)

8. The ratio of investments of P and Q is 4 : 5. P invests for 1 year and Q

invests for 2 years. What is the ratio of profit of P and Q?

P rFkk Q ds fuos’k dk vuqikr 4 : 5 gSA P 1 o"kZ ds fy, fuos’k djrk gS rFkk

Q, 2 o"kZ ds fy, fuos’k djrk gSA P rFkk Q ds ykHk dk vuqikr D;k gS\

(a) 3 : 2 (b) 4 : 7

(c) 2 : 5 (d) 1 : 2

(SSC Delhi Police Constable, 05.12.2017)

9. A and B invest in a business in the ratio 4 : 5. After 10 months B leaves the business after with drawing his investment. In the first year the business made a profit of Rs. 49,000. What is B’s share (in Rs.) of this profit?

A rFkk B us fdlh O;kikj esa 4 : 5 ds vuqikr esa fuos’k fd;kA 10 eghuksa ckn B us

viuk fuos’k okil ysdj O;kikj ls Hkkxhnkjh okil ys yhA igys o"kZ esa O;kikj

esa 49,000 dk ykHk gqvkA bl ykHk esa B dk fgLlk ¼:i, esa½ fdruk Fkk\

(a) 25000 (b) 20000 (c) 18000 (d) 22000

(SSC CGL 2017 Tier - II, 17.02.2018)

SSC Tier- I & II

(CGL/CPO/CHSL/MTS)

Previous year exam Questions

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10. A and B started a partnership business investing in the ratio of 3 : 8. C joined them after 4 months with an amount equal to 3/4 th of B. What was their profit (in Rs.) at the end of the year if C got Rs. 24,000 as his share?

A rFkk B us 3 : 8 ds vuqikr esa fgLlsnkjh djds O;kikj izkjaHk fd;kA 4 eghuksa ckn C vkSj B ds }kjk fuos’k dh xbZ jkf’k dh 3/4 jkf’k dk fuos’k djds

fctusl esa Hkkxhnkjh izkjaHk o"kZ ds var esa mudk ykHk fdruk ¼:i, esa½ ;fn C dks 24,000 :i, feyrs gSa\

(a) 120000 (b) 150000 (c) 90000 (d) 180000

(SSC CGL 2017 Tier - II, 17.02.2018) 11. A, B and C invest to start a restaurant. The total investment was Rs. 3

lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs. 14,400 then what is C’s share of the profit (in Rs.)?

A, B vkSj C ,d jsLVkjsUV 'kq: djus ds fy, fuos’k djrs gSaA dqy fuos’k 3 yk[k :i, FkkA B us A dh rqyuk esa 50,000 :i, dk vf/kd fuos’k fd;k

vkSj C us B ls 25,000 :i, dk de fuos’k fd;kA ;fn o"kZ ds var esa vftZr

ykHk 14,400 :i, Fkk] rks ml ykHk esa C dk fgLlk D;k gS ¼:i, esa½\

(a) 3600 (b) 4800 (c) 6000 (d) 7200

(SSC CGL 2017 Tier - II, 20.02.2018) 12. Two businessmen A and B invest in a business in the ratio 5 : 8.

They decided to reinvest 30% of the profit they earned back into the business. The remaining profit they distributed amongst themselves. If A’s share of the profit was Rs. 87,500 then how much profit (in Rs.) did the business make?

nks O;kikfj;ksa A vkSj B us 5 : 8 ds vuqikr esa ,d dkjksckj esa fuos’k fd;kA

mUgksaus O;olk; esa dek, x, ykHk ds 30% /kujkf’k dk iqufuZos’k djus dk

fu.kZ; forfjr fy;kA 'ks"k ykHk dks mUgksaus Lo;a ds chp forfjr dj fy;kA

vxj ykHk esa A dk 'ks;j 87,500 :i, Fkk] rks ml dkjksckj esa fdruk ykHk

¼:i, esa½ gqvk\

(a) 227000 (b) 250000 (c) 375000 (d) 325000

(SSC CGL 2017 Tier - II, 20.02.2018) 13. Rohit started a business with Rs. 75000 and after some months

Simran Joined him with Rs. 60000. If the profit at the end of the year is divided in the ratio 3 : 1, then after how many months did Simran join Rohit?

jksfgr us 75000 :i, ds fuos’k ls ,d O;kikj 'kq: fd;k rFkk dqN eghus

i’pkr~ fleju] 60000 :i, ds lkFk mlls tqM+ tkrh gSA ;fn ,d o"kZ ds

var esa ykHk 3 : 1 ds vuqikr esa foHkkftr fd;k tkrk gS rks fleju] jksfgr ls

fdrus eghuksa Ik’pkr~ tqM+h gksxh\

(a) 7 (b) 6 (c) 8 (d) 4

(SSC CHSL Tier - I, 04.03.2018) 14. S, T and U start a business and their capitals are in the ratio of 3 :

4 : 6. At the end they receive the profit in the ratio of 1 : 2 : 3. What will be the respective ratio of time period for which they contribute their capitals?

S, T rFkk U us ,d O;kikj 'kq: fd;k rFkk mudh iw¡th 3 : 4 : 6 ds vuqikr

esa gSA var esa os 1 : 2 : 3 ds vuqikr esa ykHk izkIr djrs gSA muds }kjk

fuos’k dh xbZ iw¡th ds le; dh vof/k dk Øe’k% vuqikr D;k gksxk\

(a) 3 : 2 : 2 (b) 2 : 3 : 3 (c) 2 : 2 : 3 (d) 4 : 5 : 3

(SSC CHSL Tier - I, 05.03.2018)



Solutions

Answer Key 1 d 2 c 3 d 4 d 5 c

6 a 7 c 8 c 9 a 10 c

11 b 12 d 13 a 14 b

1. (d)

Classical Approach:

B’s capital = Rs. x ∴ A’s capital = Rs. 2x

Ratio of equivalent capitals of A and B for 1 month

=

+

32 10 2

2

xx :

+

8 4

2

xx

= (20x + 3x) : (8x + 2x) = 23x : 10x = 23 : 10

2. (c)

Classical Approach:

Ratio of equivalent capitals of A, B and C for 1 month

= (16000 × 3 + 11000 × 9) : (12000 × 3 + 17000 × 9) : (21000 × 6)

= (48000 + 99000) : (36000 + 153000) : 126000

= 147000 : 189000 : 126000 = 49 : 63 : 42 = 7 : 9 : 6

Sum of ratios = 7 + 9 + 6 = 22

∴ Required difference=Rs. −

9 626400

22= Rs.

3 26400

22= 3600

3. (d)

Classical Approach:

A : C = 2 : 1 = 6 : 3 A : B = 3 : 2 = 6 : 4

∴ A : B : C = 6 : 4 : 3

∴ Sum of the terms of ratio = 6 + 4 + 3 = 13

∴ B’s share = Rs.

4157300

13 = Rs. 48400

❖ Neon Argument:

Apply digit sum for

4157300

13 = 7 (digit sum)

Only option (d) has digit sum 7

4. (d)

Classical Approach:

According to the question, 3A = 4B

⇒ =4 3

A B ⇒ A : B = 4 : 3

B’s capital is twice C’s capital.

∴ B

C =

2

1 B : C = 2 : 1

∴ A : B : C = 4 × 2 : 3 × 2 : 3 × 1 = 8 : 6 : 3

5. (c)

Classical Approach:

Ratio of the equivalent capital of A and B for 1 month

= (4000 × 8 + 6000 × 4) : (5000 × 9 + 3000 × 3)

= (32000 + 24000) : (45000 + 9000)

= 56000 : 54000 = 28 : 27

Sum of the terms of ratio = 28 + 27 = 55

A is an active partner.

Allowance got by A in 1 year = Rs. 1200

Remaining profit = Rs. (6700 – 1200) = Rs. 5500


275500

55= Rs. 2700

6. (a)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 month

= 13000 × 12 : 17000 × 12 : 5000 × 12 = 13 : 17 : 5

Sum of the terms of ratio = 13 + 17 + 5 = 35

Total profit = Rs. 1400


171400

35= Rs. 680

7. (c)

Classical Approach:

Investment by Raja=

− −

1 11

4 3=

− −

12 3 4

12 =

5

12 th part

∴ Required ratio of shares in the profit = 1

4 :

1

3 :

5

12

=

112

4 :

112

3 :

512

12 = 3 : 4 : 5


There is only one option (d) where profit of B is twice of that of C.


A : B : C = 13 : 17 : 5

Share of B will be a multiple of 17 option (a) satisfies.


Let total capital = 12

Raman invested = =1

12 34

Rohit invested = =1

12 43

Raja invested = 12 – 3 – 4 = 5

Hence required ratio = 3 : 4 : 5

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8. (c)

Classical Approach:

Ratio of the shares of P and Q = Ratio of the equivalent capitals of P and Q for 1 month

4 × 12 : 5 × 24 = 2 : 5

9. (a)

Classical Approach:


= (4 × 12) : (5 × 10) = 24 : 25



2549000

49= Rs. 25000

10. (c)

Classical Approach:

A’s investment = Rs. 3x ⇒ B’s investment = Rs. 8x

C’s investment = Rs.

38

4x = Rs. 6x

Ratio of their equivalent capitals of 1 month

= (3x × 12) : (8x × 12) : (6x × 8)

= 36 : 96 : 48 = 3 : 8 : 4


If the total annual profit be Rs. y, then 4

15

y = 24000

⇒ y = Rs.

24000 15

4= Rs. 90000

11. (b)

Classical Approach:

B ⇒ Rs. (A + 50000)

C ⇒ Rs. (A + 50000 – 25000) ⇒ Rs. (A + 25000)

∴ A + A + 50000 + A + 25000 = 30000

⇒ 3A = 300000 – 75000 = Rs. 225000

A = 225000

3 = Rs. 75000, B ⇒ Rs. 125000, C = Rs. 100000

∴ A : B : C = 75000 : 125000 : 100000 = 3 : 5 : 4


∴ C’s share =

414400

12 = 4800

12. (d)

Classical Approach:

Ratio of the profits of A and B = 5 : 8


Let the profit of the year be Rs. x.

∴ Profit distributed = Rs. 7

10

x


5 7

13 10

x= Rs.

7

26

x

∴ 7

26

x = 87500 ⇒ x =

87500 26

7 = Rs. 325000

13. (a)

Classical Approach:

Let Simran remain in business for x months.

According to the question,

75000 12

60000 x =

3

1 ⇒

15

x = 3

⇒ 3x = 15 ⇒ x = 5 month

∴ Required answer = 12 – 5 = 7 months

14. (b)

Classical Approach:

: :

3 : 4 : 6

Pr 1 : 2 : 3

1 2 3: :

3 4 6

4 : 6 : 6

2 : 3 : 3

S T U

Capitals

ofit

Time


B invested 50000 more than A and C invested 25000 less than B. It means C invested 25000 more than A. If we subtract 75000 from the total then remaining should be distributed equally among the three.

Each will get −

300000 75000

3 = 75000

Then, A : B : C = 75 : 125 : 100 = 3 : 5 : 4

C's share = 4

12 × 14400 = 4800


A : B = 5 : 8

Using Aryan’s ratio

=

570%

100%1387500 x

x =

87500 100 13

5 70

Using digit sum

x = 2 × 1 × 4 × 2 × 4 = 1

Only option (d) has digit sum of 1


Answer will be multiple of 13

Only option (d) satisfies.


Rohit Simran

Capital 5 : 4

Time 12 : x

Profit 60 : 4x

3 : 1

4x = 20 x = 5

So, Simran invested his capital for 5 months

Hence, she joined after 12 - 5 = 7 months



1. Mr. Shiv kumar started a business investing Rs. 25,000 in 1996. In 1997 he invested an additional amount of Rs. 10,000 and Mr. Rakesh joined him with an amount of Rs. 35,000. In 1998, Mr. Shiv kumar invested another additional amount of Rs. 10,000 and Mr. Suresh joined them with an amount of Rs. 35,000. What will be Rakesh’s share in the profit of Rs. 1,50,000 earned at the end of three years from the start of the business in 1996?

feLVj f’kodqekj us 1996 esa 25000 :- yxk O;kikj 'kq: fd;kA 1997 esa mlus ,d 10000 : dk /ku vkSj fuos’k fd;k] jkds’k us 35000 :- yxk

O;kikj esa lk>k fd;kA 1998 esa f’kodqekj us vius fuos’k esa 10000 :- vkSj

tksM+ fn;s rFkk lqjs’k us 35000 : yxk O;kikj esa lk>k fd;kA 1996 ls

rhu lky esa dqy ykHk 150000 esa jkds’k dk fgLlk Kkr djksA

(a) Rs. 70,000 (b) Rs. 50,000 (c) Rs. 45,000 (d) Rs. 75,000 (e) None of these/buesa ls dksbZ ugha

(SBI Bank PO Exam. 11.02.2001) 2. A, B and C started a business with investment in the ratio 5 : 6 : 8

respectively. After one year C withdrew 50% of his capital and A increased his capital by 60% of his investment. After two years in what ratio should the earned profit be distributed among A, B and C respectively?

A, B rFkk C esa Øe’k% 5 : 6 : 8 ds vuqikr esa /ku fuos’k dj ,d O;kikj 'kq:

fd;kA ,d lky ckn C us 50% /ku fudky fy;k rFkk A us vius fuos’k

fd;s /ku dk 60% c<+k fn;kA nks lky ckn muds ykHk dks A, B o C dks

fdl vuqikr esa ckaVk tkuk pkfg,\

(a) 2 : 3 : 3 (b) 4 : 3 : 2 (c) 13 : 12 : 12 (d) Cannot be determined/fu/kkZfjr ugha fd;k tk ldrk

(e) None of these/buesa ls dksbZ ugha

(Syndicate Bank PO Exam. 10.10.2004) 3. A and B started a partnership business investing some amount in

the ratio of 3 : 5. C joined them after six months with an amount equal to that of B; profit at the end of one year should be distributed in what proportion among A, B and C?

A rFkk B us ,d O;kikj esa 3 : 5 ds vuqikr esa /ku fuos’k fd;kA 6 eghus ckn C us B ds fgLls ds cjkcj /ku yxk O;kikj lk>k fd;kA lky ds var ds

ykHk dks A, B rFkk C esa fdl vuqikr esa ckaVk tkuk pkfg,A

(a) 6 : 10 : 5 (b) 3 : 5 : 5 (c) 3 : 5 : 2 (d) Cannot be determined/fu/kkZfjr ugha fd;k tk ldrk

(e) None of these/buesa ls dksbZ ugha

[LIC Assistant Administrative Officer (AAO) Exam. 24.04.2005]

4. Sunetra invested an amount of Rs. 50,000 to start a software

business. After six months Nikhil joined her with an amount of Rs. 80,000. At the end of 3 years they earned a profit of Rs. 24,500. What is Sunetra’s share in the profit?

lqus=k us :- 50,000 dh jkf’k fuos’k djds lkW¶Vos;j O;olk; 'kq: fd;kA

Ng eghus ds ckn :- 80,000 jkf’k ds lkFk fuf[ky mldk lg;ksxh cukA

rhu o"kZ ds var esa mUgksaus :- 24,500 ykHk vftZr fd;k] rks ml ykHk esa

lqus=k dk fgLlk fdruk Fkk\

(a) Rs. 14,000 (b) Rs. 9423 (c) Rs. 10,250 (d) Rs. 12,500 (e) None of these/buesa ls dksbZ ugha

[SBI Associate Bank PO Exam. 21.07.2002 & LIC Assistant Administrative

Officer (AAO) Exam. 2006]

5. A, B and C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was :

A, B, C us ,d O;kikj viuk fuos’k 1 : 3 : 5 ds vuqikr esa djds vkjEHk

fd;kA pkj ekg ds i'pkr~ A us mruk gh /ku fuos’k fd;k ftruk mlus

igys fd;k FkkA B rFkk C us vius fuos’k dk vk/kk okil ys fy;kA o"kZ ds

vUr esa mudk ykHk fdl vuqikr eas Fkk\

(a) 5 : 6 : 10 (b) 6 : 5 : 10 (c) 10 : 5 : 6 (d) 4 : 3 : 5

(United India Insurance Co. AAO Exam. 11.03.2007) 6. Raksha invested an amount of Rs. 60,000 to start a software

business. After six months, Kamal joined her with an amount of Rs. 90,000. After one year from the commencement of the business, Raksha put in an additional amount of Rs. 20,000. At the end of three years, they earned a profit of Rs. 71,20,000. What is Raksha’s share in the profit?

j{kk us ,d lkW¶Vos;j O;kikj 60000 :i;s esa 'kq: fd;kA 6 eghus ckn dey us 90000 : yxk O;kikj lk>k fd;kA ,d lky ckn j{kk us 20000 : vkSj fuos’k fd;sA 3 lky ckn mUgksaus 71,20,000 : dk ykHk izkIr fd;kA

ykHk esa j{kk dk fgLlk Kkr djksA

(a) Rs. 35,20,000 (b) Rs. 26,40,000 (c) Rs. 27,00,000 (d) Rs. 38,40,000 (e) None of these/buesa ls dksbZ ugha

(RBI Grade-B Officer Exam. 2008) 7. Ninad, Vikas and Manav enter into a partnership. Ninad invests

some amount at the beginning. Vikas invests double the amount after 6 months and Manav invests thrice the amount invested by Ninad after 8 months. They earn a profit of Rs. 45,000 at the end of the year. What is Manav’s share in the profit?

fuukn] fodkl vkSj ekuo vkil esa Hkkxhnkjh djrs gSaA 'kq: esa fuukn dqN

jkf’k fuos’k djrk gSA 6 eghus ckn fodkl nqxquh jde dk fuos’k djrk gS

vkSj fuukn ds fuos’k djus ds 8 efgus ckn ekuo mlls rhu xquk jde dk

fuos’k djrk gSA o"kZ ds var esa mUgsa 45,000 :i, dk ykHk gksrk gSA ykHk

esa ekuo dk fgLlk fdruk gS \


[SBI PO Preliminary (Tire-I) Exam. 27.04.2008] 8. Karan starts a business by investing Rs. 60,000. Six months later

shirish joins him by investing Rs. 1,00,000. At the end of one year from commencement of the business, they earn a profit of Rs. 1,51,800. What is Shirish’s share in the profit?

dju us 60000 :- esa ,d O;kikj 'kq: fd;kA 6 efgus ckn f’kfj’k us 100000 : yxk dj O;kikj esa lk>k dj fy;kA lky ds var esa mUgksaus 151800 : ykHk dek,A ykHk esa f’kfj’k dk fgLlk Kkr djsaA

(a) Rs. 55200 (b) Rs. 82800 (c) Rs. 62500 (d) Rs. 96600 (e) None of these/buesa ls dksbZ ugha

(UCO Bank PO Exam. 22.03.2009) 9. Prakash, Sunil and Anil started a business jointly investing Rs. 11

lakhs, Rs. 16.5 lakhs and Rs. 8.25 lakhs respectively. The profit earned by them in the business at the end of three years was Rs. 19.5 lakhs. What will be 50% of Anil’s share in the profit?

BANK PO/Clerk

(SBI/IBPS/RRB/NABARD/LIC)

Previous year exam Questions

www.neonclasses.com


izdk'k] lquhy o vfuy us Øe’k% 11 yk[k] 16.5 yk[k rFkk 8.25 yk[k :

ls O;kikj 'kq: fd;kA rhu lky ckn dqy ykHk 19.5 yk[k : gSA ykHk esa

vfuy ds fgLls dk 50% Kkr djksA

(a) Rs. 4.5 lakhs (b) Rs. 2.25 lakhs (c) Rs. 2.5 lakhs (d) Rs. 3.75 lakhs (e) None of these/buesa ls dksbZ ugha

(Union Bank of India PO Exam. 21.06.2009) 10. Gina invests Rs. 48,000 to start a business. Four months later

Shrayon joins her by investing Rs. 62,000 and another two months later Deepika joins then both by investing Rs. 80,000. At the end of one year the business earns a profit of Rs. 20,661. What is Deepika’s share in the profit ?

fxuk us 48000 : yxkdj O;kikj 'kq: fd;kA pkj efgus ckn 'ks;ksu us 62000 :- yxk O;kikj esa lk>k dj fy;k rFkk vU; 2 efgus ckn nhfidk 80000 :- yxk dj O;kikj esa lk>k dj ysrh gSA ,d lky ds var esa

20661 :- dk ykHk gqvkA ykHk eas nhfidk dk fgLlk Kkr djksA


(Union Bank of India PO Exam. 14.11.2010) 11. Mrudul invested an amount of Rs. 29,500 in order to start a business.

Shailash joined her 4 months later by investing an amount of Rs. 33,500. If the business earned a profit of Rs. 1,20,575 at the end of two years, what was Mrudul’s share of the profit ?

enqy ,d O;kikj esa 29500 :- O;kikj eas fuos’k fd;k 'kSys'k us 4 eghus ckn 33500 :- yxk O;kikj esa lk>k fd;kA ;fn 2 lky ds var esa 1,20,575 :- dk ykHk dek;k gks rks ykHk esa enqy dk fgLlk Kkr djksA


(Indian Bank PO Exam. 02.01.2011) 12. A, B and C enter into a partnership. A invests some money at the

beginning, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit is Rs. 27000. C’s share is:

A, B o C ,d lk>k djrs gSA 'kq:vkr esa A dqN /ku fuos’k djrk gS B 6 efgus ckn nqxquk /ku fuos’k djrk gS rFkk 8 eghus ckn C rhu xquk /ku fuos’k djrk gSA ;fn lky ds var esa 27000 : dk ykHk izkIr gks rks C dk

fgLlk Kkr djksA

(a) Rs. 9000 (b) Rs. 11250 (c) Rs. 10,800 (d) Rs. 8625

(General Insurance Corporation AAO Exam. 11.12.2011) 13. Tanvi started a business investing Rs. 45,000. After 8 months Anisha

joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the share of profits of Anisha?

ruoh us 45000 :- esa ,d O;kikj 'kq: fd;kA 8 efgus ckn vfu’kk us 52000 :- ls mlds lkFk lfEefyr gks xbZA lky ds var esa 56165 :-

dk ykHk gks rks vfu’kk ds ykHk dk fgLlk Kkr djksA


(Oriental Bank of Commerce PO Exam. 21.12.2008 & United India Insurance AO Exam. 26.05.2013)

14. Three men A, B and C start a business together. They invest Rs. 30000,

Rs. 24000 and Rs. 42000 respectively in the beginning. After 4 months, B took out Rs. 6000 and C took out Rs. 10000. They get a profit of Rs. 11960 at the end of the year. B’s share in the profit is

rhu vkneh A, B rFkk C us Øe’k% 30,000 24,000 rFkk 42,000 : yxkdj

O;kikj 'kq: fd;kA 4 eghus ds ckn B us 6000 :- fudky fy, rFkk C us 10000 : fudky fy,A lky ds var esa 11960 : ykHk izkIr gqvkA ykHk

ds var esa B dk fgLlk Kkr djksA


(IBPS Bank PO/MT CWE-III Exam. 26.10.2013)

15. A, B, C started a shop by investing Rs. 27000, Rs. 81000 and Rs. 72000 respectively. At the end of one year, B’s share in total profit was Rs. 36000. What was the total profit?

A, B rFkk C us Øe’k% 27000, 81000 rFkk 72000 :- yxk ,d nqdku 'kq: dhA 1 lky ds var esa dqy ykHk esa B dk fgLlk 36000 :- FkkA dqy ykHk Kkr djsaA

(a) Rs. 108000 (b) Rs. 116000 (c) Rs. 80000 (d) Rs. 92000

[NICL (GIC) Administrative Officer Exam. 15.12.2013] 16. Geeta, Shweta and Sita started a business with investment of Rs.

4200, Rs. 8400 and Rs. 5400 respectively. In the end of the year, there was a profit of Rs. 24000. Sita invested 32% of her share in profit in the business. The remaining amount of profit with Sita is

xhrk] 'osrk ,oa lhrk us 4200, 8400 rFkk 5400 :- yxk O;kikj 'kq:

fd;kA ;fn lky ds var esa 24000 dk ykHk feykA lhrk us vius ykHk dk 32% O;kikj esa fuos’k dj fn;k lhrk dk 'ks"k fgLlk Kkr djksA


[Corporation Bank Specialist Officer (Marketing) Exam. 22.02.2014]

17. A and B started a business by investing Rs. 21,600 and Rs. 14,400

respectively. After few months from the start of the business, C joined them by investing Rs. 18,000. If the total annual profit earned by them is Rs. 10,660, out of which C’s share is Rs. 2,120, after how many months from the start of business did C invest ?

A ,oa B us Øe’k% 21,600 :i, ,oa 14,400 :i, ds fuos’k ls ,d O;kikj vkjaHk

fd;kA dqN ekg i'pkr~ C, 18,000 :i, ds fuos’k ds lkFk mudk lk>snkj cu

x;kA ;fn dqy okf"kZd ykHk 10,600 :i, Fkk ftlesa C dk fgLlk 2,120 :i,

Fkk rks O;kikj ds vkjaHk ds fdrus ekg ckn C mudk lks>nkj cuk \

(a) 4 (b) 2 (c) 8 (d) 3 (e) 6 (NABARD Officer Grade A Online Exam. 03.08.2014)

18. A starts a business with an initial investment of Rs. 18000. After 4

months, B enters into the partnership with an investment of Rs. 24000. Again after two months C enters with an investment of Rs. 30000. If C receives Rs. 1845 in the profit at the end of the year, what is the total annual profit?

,d O;fDr A, 18000 :i, dh izkjafHkd ykxr ls viuk O;olk; vkjaHk

djrk gSA pkj ekg ckn B, 24000 :i, ds fuos’k ds lkFk O;olk; esa

'kkfey gks tkrk gSA fQj 2 ekg ckn C, 30000 :i, ds fuos’k ds lkFk

'kkfey gks tkrk gSA ;fn C dks o"kkZar ykHk esa ls 1845 :i, feyrk gS rks

dqy okf"kZd ykHk D;k gS\


(Bank of Baroda PO Exam. 14.08.2014) 19. A, B and C started a business in partnership with investments of

Rs. 12000, Rs. 26000 and Rs. 32000 respectively. After 4 months A leaves. After 6 months B leaves and A joins with an amount equal to his earlier investment. After 10 months C leaves and B joins with his prior investment. At the end of the year they earn a profit of Rs. 53622. Find the share of B in the annual profit.

A, B ,oa C us feydj Øe’k% 12,000 :i,] 26,000 :i, ,oa 32,000 :i,

ds fuos’k ds lkFk lk>snkjh esa ,d O;kikj 'kq: fd;kA pkj ekg ckn A vyx gks tkrk gSA 6 ekg ckn B vyx gks tkrk gS ,oa vius iwoZ ds fuos’k

dh jkf’k ds lkFk A 'kkfey gks tkrk gSA 10 ekg ckn C NksM+ nsrk gS ,oa B viuh iwoZ dh jkf’k ds lkFk 'kkfey gks tkrk gSA o"kkZr esa dqy ykHk 53622 :i, gqvkA B dk ykHkka’k Kkr djksA


(SIDBI Bank Officer Exam. 09.09.2014) 20. Two persons A and B start a business with investments of Rs.

24000 and Rs. 28000 respectively. After 4 months C also joined them with certain investment. Total profit at the end of the year was Rs. 19950. C’s share in profit was Rs. 7600. What was the C’s investment in the business?



nks O;fDr A ,oa B Øe’k% 24000 :i, ,oa 28000 :i, ds fuos’k ls O;olk;

izkjaHk djrs gSaA 4 ekg ckn C ,d fuf’pr fuos’k ds lkFk O;olk; esa 'kkfey

gks tkrk gSA o"kkZar esa dqy ykHk 19950 :i, gS ftlesa C dk fgLlk 7600 :i, gSA C dk fuos’k Kkr djsaA


(IBPS Bank PO/MT CWE-IV Exam. 18.10.2014) 21. A and B started a business by investing Rs. 17600 and Rs. 12800,

respectively. After 4 months from the start of the business, C joined them with a certain amount. If the total annual profit earned by them is Rs. 36080, out of which C's share is Rs. 11000. What was C's investment?

A vkSj B us Øe'k% 17600 vkSj 12800 :i;s fuos'k djds ,d O;olk;

'kq: fd;kA O;olk; dh 'kq:vkr ls 4 eghus ckn C us dqN jkf'k ds lkFk

'kkfey gqvkA ;fn muds }kjk dqy okf"kZd ykHk 36080 :i;s gS ftlesa C dk 'ks;j 11000 :i;s gS rks C dk fuos'k D;k Fkk\

(a) Rs. 25000 (b) Rs. 21000 (c) Rs. 15000 (d) Rs. 20000 (e) Rs. 18000

[NABARD (AM) 2015] 22. Pankaj started a business investing Rs. 42000. After 4 months,

Nitin joined him with a capital of Rs. 57000. At the end of the year, the total profit was Rs. 26000. What is the difference between the share of profits of Pankaj and Nitin?

iadt us 42000 :i;s ls ,d fuos'k 'kq: fd;kA 4 eghus ckn fufru 57000 :i;s ds lkFk mles 'kkfey gqvkA o"kZ ds var esa dqy ykHk 26000 :i;s FkkA iadt vkSj fufru ds ykHk ds 'ks;j esa fdruk varj gS\

(a) Rs. 1200 (b) Rs. 1400 (c) Rs. 1600 (c) Rs. 1800 (e) None of these

[IBPS (SO) Pre. 2015] 23. A starts a business with an investment of Rs. 16000. After 3

months B joins the partnership with an investment equal to 5/8 th of A’s investment and A withdraws Rs. 2000 from the business. After 3 months more C joins the partnership with an investment of Rs. 9000. In the end of the year, C gets Rs. 1026 as his share in profit. Find A’s share in the profit.

A us ,d O;kikj 16000 : yxk 'kq: fd;kA 3 eghus ckn B, A ds fuos’k dk 5/8 Hkkx fuos’k dj O;kikj lk>k djrk gS rFkk A 2000 :- O;kikj ls

fudky ysrk gSA vkSj 3 eghus ckn C 9000 : yxk dj O;kikj lk>k djrk

gSA lky ds var esa C dks 1026 : ykHk ds fgLls ds :i eas feyrs gS rks

ykHk esa A dk fgLlk Kkr djksA

(a) Rs.3300 (b) Rs. 3306 (c) Rs. 3406 (d) Rs. 3506 (e) None of these/buesa ls dksbZ ugha

[NIACL Administrative Officer (AO) Online Exam. 11.01.2015]

24. A and B started a business by investing Rs. 18,000 and Rs. 24,000

respectively. At the end of 4th month from the start of the business, C joins with Rs. 15,000. At the end of 8th month B quits at which time C invests Rs. 3000 more. At the end of 10th month B rejoins with the same investment. If profit at the end of the year is Rs. 12,005, what is B’s share in the profit?

A rFkk B us Øe’k% 18,000 :i, rFkk 24,000 :i, dk fuos’k djds O;kikj

vkjEHk fd;kA O;kikj vkjEHk gksus ds pkSFks ekg ds vUr esa C Hkh 15,000 :i, ds fuos’k ds lkFk O;kikj esa 'kkfey gks tkrk gSA vkBosa ekg ds vUr

esa B viuk fuos’k O;kikj esa ls fudky ysrk gS rFkk mlh le; C, 3000 :i, dk vfrfjDr fuos’k djrk gSA nlosa ekg ds vUr esa B vius iwoZ ds

fuos’k ds lkFk iqu% O;kikj esa 'kkfey gks tkrk gSA ;fn o"kZ ds vUr esa 12,005 :i, dk ykHk gks] rks ykHk esa B dk fgLlk D;k gS\

(a) Rs. 4,000 (b) Rs. 4,440 (c) Rs. 4,360 (d) Rs. 4,900 (e) Rs. 3,920

[LIC Assistant Administrative Officer (AAO) Online Exam. 22.03.2015]

25. A began a small business with a certain amount of money. After

four months from the start of the business, B joined the business with an amount which was Rs. 6,000 less than A’s initial investment. C joined the business after seven months from the start of business with an amount which was Rs. 2,000 less than A’s initial investment. At the end of the year total investment reported was Rs. 1,42,000. What will be A’s share in the profit, if B received Rs. 8,000 as profit share ? (in Rupees)

A us ,d fuf’pr /kujkf’k ds fuos’k ls ,d y?kq O;kikj vkjaHk fd;kA O;kikj

vkjaHk djus ds pkj ekg ckn O;kikj esa B 'kkfey gks x;k ftlus A ds izkjafHkd

fuos’k ls 6000 :i, de /ku yxk;kA C, 7 ekg ckn A ds fuos’k ls 2000 :i,

de ds fuos’k ds lkFk lk>hnkj cu x;kA o"kkZar esa vf/klwfpr dqy fuos’k 142000 :i, FkkA A dk ykHkka’k D;k gksxk ;fn B dk ykHkka’k 8000 :i, gks\


(BOB Junior Management Grade/Scale-I Exam. 18.04.2015)

26. A starts a small business by investing a certain sum of money. B joins

A after three months from the start of the business by investing 1.5 times A’s investment. Three months after B joined the business, C joins A and B by investing half of A’s investment. It was agreed that the working partner would receive 10% of the profit and the share according to the investment proportion from the rest of the profit. If total profit at the end of the year was Rs. 23750, how much will A, being the only working partner received?

A ,d fuf’pr /kujkf’k ls ,d O;kikj vkjaHk djrk gSA 3 ekg i'pkr~ B, A ds 1.5 xqus fuos’k ds lkFk O;kikj esa 'kkfey gks tkrk gSA iqu% vxys 3 ekg ckn] C, A ds fuos’k ls vk/kh jkf’k ds lkFk A ,oa B dk lk>snkj cu tkrk gSA ;g lgefr

cuh fd dk;Zdkjh ¼lfØ;½ lk>snkj dks ykHk dk 10% feysxk ,oa 'ks"k ykHk esa

ls fuos’k ds lekuqikfrd ykHk Hkh feysxkA o"kkaZr esa dqy ykHk 23750 :i, FkkA A tks fd vdsyk dk;Zdkjh lk>snkj gS] dks dqy ykHk D;k feysxk\


[OICL Specialist Officer (Finance) Exam. 03.05.2015]

27. A, B and C together start a business. The ratio of the investments

of A, B and C is 0.125 : 0.75 : 0.25. After 8 months A adds thrice amount of his earlier investment and C withdraws half of his earlier investment. At the end of the year, they earn a total profit of Rs. 5800. What is B’s share in the profit?

A, B ,oa C feydj ,d O;kikj vkjaHk djrs gSaA A, B ,oa C ds fuos’k dk

vuqikr Øe’k% 0.125 : 0.75 : 0.25 gSA 8 ekg ckn A vius iwoZ ds fuos’k dh

frxquh /kujkf’k vkSj fuos’k djrk gS] tcfd C vius fuos’k dk vk/kk fudky

ysrk gSA o"kkZar esa dqy 5800 :i, dk ykHk gksrk gSA B dk ykHkka’k D;k gS\

(a) Rs. 3400 (b) Rs. 3200 (c) Rs. 3600 (d) Rs. 3800 (e) None of these/bueas ls dksbZ ugha

[SBI PO Phase-I (Pre.) Online Exam. 20.06.2015] 28. A starts a business with a capital of Rs. 1500. B joins the business

6 months later from the start of the business and C joins the business 8 months later from the start of the business. End of the year their respective share in profit was in ratio of 5 : 3 : 3. What is the sum of amount put in the business by B and C together?

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A, 1500 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA O;kikj vkjaHk djus

ds 6 ekg ckn B ,oa 8 ekg ckn C O;kikj esa 'kkfey gks tkrs gSaA o"kkZar esa gq,

dqy ykHk esa muds ykHkka’k dk vuqikr Øe’k% 5 : 3 : 3 gSA B ,oa C dks

feykdj buds }kjk O;kikj esa fuosf’kr /kujkf’k D;k gS \


[SBI PO Phase-I (Pre.) Online Exam. 21.06.2015] 29. A, B and C start a small business. A contributes 1/5 th of the total

capital invested in the business. B contributes as much as A and C together. Total profit at the end of the year was Rs. 5,200. What was C’s profit share ? (Rs.)

rhu O;fDr A, B ,oa C ,d y?kq O;kikj vkjaHk djrs gSaA A O;kikj esa dqy

fuos’k dk 1/5 Hkkx fuos’k djrk gSA B dk fuos’k A ,oa C dks feykdj fd,

x, dqy fuos’k ds cjkcj gSA o"kkZaar esa dqy ykHk 5200 :i, FkkA C dk

ykHkka’k D;k Fkk \ ¼:i, esa½

(a) 1510 (b) 2510 (c) 1500 (d) 2560 (e) 1560

[SBI PO Phase-I (Pre.) Online Exam. 27.06.2015] (IBPS RRBs Officer Scale-I & II CWE, 12.09.2015)

30. A, B and C started a business by investing Rs. 20,000 Rs. 28,000

and Rs. 36,000 respectively. After 6 months, A and B withdrew an amount of Rs. 8,000 each and C invested an additional amount of Rs. 8,000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12,550 as his share of profit, what was the total profit earned?

A, B ,oa C us Øe’k% 20000 :i,] 28000 :i, ,oa 36000 :i, ds fuos’k

ls ,d O;kikj vkjaHk fd;kA Ng ekg i'pkr~ A ,oa B izR;sd us 8000 :i,

dh /kujkf’k fudky yh ,oa C us 8000 :i, dh dh vfrfjDr /kujkf’k dk

fuos’k fd;kA lHkh us leku vof/k ds fy, fuos’k fd;kA o"kkZar esa C us 12550 :i, dk ykHkka’k izkIr fd;kA dqy vftZr ykHk D;k Fkk\

(a) Rs. 25,100 (b) Rs. 26,600 (c) Rs. 24,300 (d) Rs. 22,960 (e) Rs. 21,440 31. A and B started a business with initial investments in the

respective ratio of 18 : 7. After four months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business?

A ,oa B us 18 : 7 ds laxr vuqikr esa vkjafHkd fuos’k ds lkFk ,d O;olk;

'kq: fd;kA O;olk; ds vkjaHk ds 4 ekg ckn A us 2000 :i, vf/kd ,oa B us 7000 :i, vf/kd dk fuos’k fd;kA ;fn o"kkZark esa vftZr ykHk dks muds

chp Øe’k% 2 : 1 esa forfjr fd;k x;k] rks A ,oa B dks feykdj mudk dqy

vkjafHkd fuos’k D;k Fkk\

(a) Rs. 50,000 (b) Rs. 25,000 (c) Rs. 1,50,000 (d) Rs. 75,000 (e) Rs. 1,25,000

(IBPS RRBs Officer Scale-I & II CWE, 13.09.2015) 32. A started a business. After 4 months from the start of the business,

B and C joined. The respective ratio between the investments of A, B and C was 4 : 6 : 5. If A’s share in annual profit was Rs. 250 more than C’s share, what was the total annual profit earned?

A us ,d O;kikj izkjaHk fd;kA 4 ekg ckn B ,oa C, A ds lkFk lk>snkj cu x,A A, B ,oa C ds fuos’k dk vuqikr Øe’k% 4 : 6 : 5 FkkA ;fn okf"kZd ykHk esa A dk ykHkka’k C ds ykHkka’k ls 250 :i, vf/kd gks] rks vftZr dqy okf"kZd ykHk D;k Fkk\


[IBPS Bank PO/MT CWE-V (Prelim Exam 03.10.2015)] 33. A and B started a business with the investments in the ratio of 5 :

3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?

A ,oa B us Øe’k% 5 : 3 ds vuqikr esa fuos’k ls ,d lk>k O;kikj vkjaHk

fd;kA O;kikj ds vkjaHk ds 6 ekg i'pkr~ C Hkh lk>snkj cu x;k ,oa B rFkk C ds fuos’k dk vuqikr Øe’k% 2 : 3 FkkA ;fn muds }kjk vftZr dqy okf"kZd

ykHk 12300 :i, gks] rks B ,oa C ds ykHkka’k esa D;k varj Fkk\


[IBPS Bank PO/MT CWE-V (Prelim Exam 04.10.2015)] 34. A, B and C started a business with investments of Rs. 1,600, Rs.

2,000 and Rs. 1800 respectively. After 6 months from the start of the business, A invested Rs. 200 more. After 8 months from the start of the business, B and C invested additional amounts in the respective ratio of 4 : 1. If they received an annual profit of Rs. 3780 and A’s share in the profit is Rs. 1080, what was the additional amount that C invested?

A, B rFkk C us Øe’k% 1600, 2000 rFkk 1800 :- yxk O;kikj 'kq: fd;kA 6 eghus ds ckn A us 200 :- vkSj fuos’k fd;sA O;kikj ds 'kq:vkr ds 8 eghus ds ckn B o C us 4 : 1 esa vfrfjDr /ku fuos’k fd;k ;fn lky ds var

esa mUgksaus 3780 :- dek, rFkk A dk fgLlk 1080 : Fkk rks C us vfrfjDr

fdruk /ku fuos’k fd;kA


(RBI Officer Grade-B Phase-I Exam. 21.11.2015) 35. A, B and C start a business in partnership with respective initial

investments of Rs. 4200, Rs. 3600 and Rs. 2400. After 4 months from the start of the business, A invests an additional amount of Rs. 1000 in the business. After 6 months from the start of the business B and C invest additional amounts in the respective ratio of 1 : 2. After 10 months they get a total profit of Rs. 2820. If the share of A in profit is Rs. 1200, what was the additional investment made by B?

A, B ,oa C Øe’k% 4200 :i,] 3600 :i, ,oa 2400 :i, ds fuos’k ls lk>k

O;kikj vkjaHk djrs gSaA O;kikj ds vkjaHk ls 4 ekg ckn] A, 1000 :i, dk

vfrfjDr fuos’k djrk gSA vkjaHk ls 6 ekg i'pkr~ B ,oa C Øe’k% 1 : 2 ds

vuqikr esa vfrfjDr /kujkf’k dk fuos’k djrs gSaA nl ekg ds var esa mugsa 2820 :i, dk dqy ykHk izkIr gksrk gSA ;fn A dk ykHkka’k 1200 :i, gks]

rks B }kjk fuosf’kr vfrfjDr /kujkf’k D;k Fkh\


(RBI Officer Grade-B Phase-I Online Exam. 22.11.2015) 36. Mithilesh started a business investing Rs. 48000. After 7 months,

Vidya joined him with a capital of Rs. 56000. At the end of the year, the total profit was Rs. 5885. What is Vidya's share of the profit?

fefFkys'k us 48000 :i;s fuos'k djds ,d O;olk; 'kq: fd;kA 7 eghus ckn fo|k 56000 :i;s ds lkFk 'kkfey gks xbZA o"kZ ds var esa ykHk 5885 :i;s FkkA ykHk esa fo|k dk 'ks;j D;k Fkk\

(a) Rs. 3625 (b) Rs. 1650 (c) Rs. 1925 (d) Rs. 3960 (e) None of these

[IBPS (SO) Pre. 2016] 37. A, B and C started a business by investing Rs. 8400, Rs. 15600 and

Rs. 13200, respectively. All of them invested for equal period of time. If A's share of annual profit was Rs. 1960, what was the difference between B's share in annual profit and C's share in annual profit?

A, B vkSj C us 8400 :i;s] 15600 :i;s vkSj 13200 :i;s ls ,d O;olk;

'kq: fd;kA lHkh us leku le; ds fy, fuos'k fd;kA ;fn A dk okf"kZd ykHk

esa 'ks;j 1960 :i;s gS rks B vkSj C ds okf"kZd ykHk esa fdruk varj Fkk\


[SBI (PO) Pre. 2016] 38. A, B and C started a business with their investments in the ratio 1

: 2 : 4. After 6 months, A invested the half amount as before and B invested same amount as before while C withdrew1/4 th of his investment. find the ratio of their profits at the end of the year.



A, B vkSj C us fuos'k dks 1 : 2 : 4 esa fuos'k djds ,d O;olk; 'kq: fd;kA

6 eghus ckn] A us igys ls vk/kh jkf'k vkSj B us leku jkf'k fuos'k dh]

tcfd C us mlds fuos'k dk 1/4 fudky fy;kA lky ds var esa muds

ykHk dk vuqikr D;k gS\

(a) 5 : 12 : 13 (b) 5 : 11 : 14 (c) 5 : 12 : 14 (d) 5 : 12 : 10 (e) None of the above

[IBPS (PO) Pre. 2016] 39. A and B started a business with investments of Rs. 3500 and Rs.

2500 respectively. After 4 months C joined with Rs. 6000. If the difference between C’s share and B’s share in the annual profit was Rs. 1977, what was the total annual profit?

A rFkk B us Øe’k% 3500 rFkk 2500 : yxk O;kikj 'kq: fd;kA 4 eghus ckn C us 6000 : yxk O;kikj lk>k fd;kA lky ds var esa C rFkk B ds ykHk ds

fgLls dk varj 1977 : gks rks lky ds var esa dqy ykHk Kkr djksA (a) Rs. 15,620 (b) Rs. 16,240 (c) Rs. 14,690 (d) Rs. 12,770 (e) Rs. 13,180

[IBPS Specialist Officer (IT) CWE Exam. 14.02.2016] 40. A started a business. After 4 months from the start of the business,

B and C joined. The respective ratio between the amounts invested by A, B and C was 6 : 11 : 12. If the C’s share in annual profit was Rs. 720 more than A’s share, what was the total annual profit earned?

A us ,d O;kikj vkjaHk fd;kA vkjaHk ls 4 ekg ckn B ,oa C O;kikj esa 'kkfey

gks x,A A, B ,oa C }kjk fuos’k dk vuqikr Øe’k% 6 : 11 : 12 FkkA ;fn okf"kZd ykHk esa C dk ykHkka’k A ds ykHkka’k ls 720 :i, vf/kd Fkk] rks dqy

okf"kZd ykHk D;k Fkk\


(SIDBI Office Online Exam. 24.02.2016)

41. A and B start a business with respective investments of Rs. 10000

and Rs. 18000. After 8 months from the start of the business, B quits and C joins with Rs. 24000. If annual profit be Rs. 38250, what is A’s share in the profit?

A ,oa B us Øe’k% 10000 :i, ,oa 18000 :i, ds fuos’k ls ,d lk>k

O;kikj dk vkjaHk fd;kA vkjaHk ls 8 ekg i'pkr~ B O;kikj ls vyx gks tkrk

gS ,oa C, 24000 :i, ds fuos’k ls A dk lk>snkj cu tkrk gSA ;fn dqy

okf"kZd ykHk 38250 :i, gks rks A dk ykHkka’k D;k gS\


[SBI PO Online (Pre.) Exam. 02.07.2016]

42. A started a business by investing Rs. 25000. At the end of 4th month from the start of the business B joined with Rs. 15000 and at the end of 6th month from the start of the business, C joined with Rs. 20,000. If A’s share in profit at the end of one year was Rs. 7,750 what was the total profit received?

A us 25000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA pkj ekg ds i'pkr~ B 15000 :i, ds fuos’k ls A dk lk>snkj cu x;k ,oa vkjaHk ls 6 ekg ckn C Hkh 20000 :i, ds fuos’k ds lkFk mudk lk>snkj cu x;kA ;fn o"kkaZr ds

ykHk esa A dk ykHkka’k 7750 :i, gks] rks dqy izkIr okf"kZd ykHk D;k Fkk\


[SBI PO Phase-I (Pre.) Online Exam. 03.07.2016] 43. A started a business with an investment of Rs. 28,000. After 5

months from the start of the business, B and C joined with Rs. 24,000 and Rs. 32,000 respectively and A withdrew Rs. 8000. If the difference between A’s share and B’s share in the annual profit is Rs. 2,400, what was the annual profit received?

A us 28000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 5 ekg i'pkr~ B ,oa C Øe’k% 24000 :i, ,oa 32000 :i, ds fuos’k ls A ds lk>snkj cu x,

,oa A us O;kikj ls 8000 :i, dh /kujkf’k fudkyhA ;fn okf"kZd ykHk esa A ,oa B ds ykHkka’k dk varj 2400 :i, gks] rks izkIr okf"kZd ykHk D;k Fkk \


[SBI PO Phase-I (Pre.) Online Exam. 03.07.2016] 44. A started a business with an investment of Rs. 16,000. After 6 months

from the start of the business, B and C joined with Rs. 12,000 and Rs. 18,000 respectively and A invested an additional amount of Rs. 4000. If the difference between A’s share and B’s share in the annual profit is Rs. 6000, what was the annual profit received?

A us 16000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 6 ekg ckn B ,oa C Øe’k% 12000 :i, ,oa 18000 :i, ds fuos’k ds lkFk A ds

lk>snkj cu x, ,oa mlh oDr A us 4000 :i, dh vfrfjDr /kujkf’k dk

fuos’k fd;kA ;fn okf"kZd ykHk esa A ,oa B ds ykHkka’k dk varj 6000 :i,

gks] rks okf"kZd ykHk D;k gS \


[SBI PO Online (Pre.) Exam. 10.07.2016] 45. A, B and C started a business with investments of Rs. 1500, Rs. 550

and Rs. 2400 respectively. After 8 months from the start of the business, A and C left and B invested an additional amount of Rs. 450. If difference between the share in annual profit received by B and the total annual profit was Rs. 13,000, what was the total annual profit received?

A, B ,oa C us Øe’k% 1500 :i,] 550 :i, ,oa 2400 :i, ds fuos’k ls ,d

lk>k O;olk; vkjaHk fd;kA vkB ekg i'pkr~ A ,oa C O;olk; ls vyx gks

x, ,oa B us 450 :i, dh vfrfjDr /kujkf’k dk fuos’k fd;kA ;fn okf"kZd

ykHk esa B ds ykHkka’k dqy okf"kZd ykHk ds e/; varj 13000 :i, Fkk] rks

izkIr dqy okf"kZd ykHk D;k Fkk\


[IBPS Bank PO/MT CWE-VI (Pre.) Exam. 16.10.2016] 46. A starts a business with Rs. 2500. After one month from the start

of the business, B joined with Rs. 4500 and A withdrew completely after eleven months from the start of the business. If the difference between A’s and B’s respective shares in the annual profit was Rs. 4800, what was the annual profit earned?

A, 2500 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls ,d ekg ckn B, 4500 :i, ds fuos’k ds lkFk mldk lk>snkj cu x;k rFkk vkjaHk ls 11 ekg ckn A us viuk laiw.kZ fuos’k fudky fy;kA ;fn o"kkZar dqy ykHk esa A ,oa B ds ykHkka’k dk varj 4800 :i, gks] rks dqy vftZr okf"kZd ykHk D;k Fkk\


[IBPS RRBs Officer CWE (Pre.) 14.11.2016]

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47. A and B both start a small business with an investment of Rs. 3500 and Rs. 4000 respectively. At the end of few months from the start of the business, A withdrew from the business completely and B remained for the years. If the annual profit was divided between A and B in the respective ratio of 7 : 12, then after how many months from the start of the business, did A leave the business?

A ,oa B feydj Øe’k% 3500 :i, ,oa 4000 :i, ds fuos’k ls ,d y?kq

O;olk; vkjaHk djrs gSaA vkjaHk ls dqN ekg mijkar A O;olk; ls iw.kZr%

i`Fkd gks tkrk gSA ;fn o"kkZar dqy ykHk dks A ,oa B ds e/; Øe’k% 7 : 12 ds vuqikr esa ckaVk tkrk gS] rks O;olk; ds vkjaHk ls fdrus ekg ckn A ls

O;olk; NksM+k \

(a) Eight (b) Nine (c) Ten (d) Five (e) Seven

[IBPS RRBs Officer CWE (Pre.) 14.11.2016] 48. A starts a small business with Rs. 3600. At the end of few months

from the start of business, B joined the business with Rs. 4000. If the annual profit between A and B was divided between them in the respective ratio of 6 : 5, then B joined the business after how many months from the start of the business?

A 3600 :i, ds fuos’k ls ,d y?kq O;kikj vkjaHk djrk gSA vkjaHk ls dqN

ekg i'pkr~ B, 4000 :i, ds fuos’k ds lkFk A dk lk>snkj cu x;kA ;fn A ,oa B ds e/; okf"kZd ykHk Øe’k% 6 : 5 ds vuqikr esa ckaVk x;k] rks O;kikj

vkjaHk gksus ds fdrus ekg ckn B O;kikj esa 'kkfey gqvk\

(a) Four (b) Two (c) Six (d) Five (e) Three

[IBPS RRBs Officer CWE (Pre.) 14.11.2016] 49. A started a company and B and C joined him later during the first

year. The respective ratio of their investments was 4 : 2 : 3 and the period for which they invested was in the ratio 2 : 3 : 1. At the start of the second year A increased his investment by 50% while investments of B and C remained same and also for the same number of months as in the first year. If the total profit at the end of 2 years was Rs. 47,500 what was C’s share in the total profit?

A us ,d daiuh 'kq: dh rFkk B rFkk C igys o"kZ esa dqN le; ckn daiuh

esa lfEefyr gq,A muds fuos’kksa dk vuqikr Øe’k% 4 : 2 : 3 Fkk rFkk fuos’k ds le; dk vuqikr 2 : 3 : 1 gSA nwljs o"kZ ds 'kq: A us viuk fuos’k 50% c<+k;k tcfd B o C ds fuosf’kr /ku rFkk fuos’k ds le; igys o"kZ ds leku

jgsA ;fn 2 o"kZ ds var esa dqy ykHk 47500 :- gks rks dqy ykHk esa C dk

fgLlk fdruk Fkk\

(a) Rs.5500 (b) Rs. 6500 (c) Rs. 7500 (d) Rs. 8500 (e) None of these/buesa ls dksbZ ugha

(IBPS Bank PO/MT CWE Main Exam. 18.11.2016) 50. Raman and Nakul invested in a business. Raman invested Rs. 3000

and withdraw Rs. 1500 at the end of 8th month. Nakul invested Rs. 1000 initially and Rs. 3500 more at the end of 4th month but withdraw Rs. 1500 at the end of 7th month. At the year's end, they earned Rs. 1800. What should be Raman's share?

jeu vkSj udqy us ,d O;olk; 'kq: fd;kA jeu us 3000 :i;s fuos'k

fd;s vkSj 8osa eghus ds var esa 1500 :i;s fudkysA udqy us 'kq:vkr esa

1000 :i;s fuos'k fd;s vkSj 3500 :i;s pkSFks eghus ds var esa fuos'k

fd;s fdUrq 7osa eghus ds var esa 1500 :i;s fudky fy;sA o"kZ ds var esa

mUgksus 1800 :i;s dek,A jeu dk 'ks;j fdruk gS\ (a) Rs. 800 (b) Rs. 920 (c) Rs. 864 (d) Rs. 850 (e) Rs. 795

[IBPS RRB (OA) Pre. 2017] 51. A and B entered into a partnership, investing Rs. 16000 and Rs.

12000, respectively. After 3 months, 'A' with drew Rs. 5000, while 'B' invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21000. After a year, they obtained a profit of Rs. 26400. By what amount does the profit of B exceed the share of C?

A vkSj B us 16000 :i;s vkSj 12000 :i;s ds lkFk ,d lk>snkjh 'kq:

dhA rhu efgus ckn A us 5000 :i;s fudkys] tcfd B us 5000 :i;s

vkSj fuos'k fd;sA rhu eghus ckn C, 21000 :i;s ds lkFk O;olk; esa

'kkfey gqvkA ,d o"kZ ckn mUgsa 26400 :i;s dk ykHk gqvkA B dk ykHk

C ds 'ks;j ls fdrus izfr'kr vf/kd gS\ (a) Rs. 3600 (b) Rs. 3800 (c) Rs. 4600 (d) Rs. 4800 (e) Rs. 5000

[BOB (PO) Pre. 2017] 52. A and B started a business by investing Rs. 18,000 and Rs. 24,000

respectively. At the end of 4 months from the start of the business, C joins with Rs. 15,000. After 8 months, B quits and C invests Rs. 3000 more. At the end of 10 months B rejoins with the same investment. If the profit at the end of year is Rs. 12,005, what is B’s share of profit? (in Rs.)

A ,oa B us Øe’k% 18000 :i, ,oa 24000 :i, ds fuos’k ls ,d O;kikj

vkjaHk fd;kA vkjaHk ls 4 ekg mijkar C, 15000 :i, dk fuos’k dj mudk

lk>snkj cu x;kA iqu% 8 ekg ckn B lk>k NksM+ nsrk gS ,oa C vfrfjDr 3000 :i, dk fuos’k djrk gSA 10 ekg i'pkr~ B leku fuos’k ds lkFk

iqu% muds lkFk vk tkrk gSA ;fn o"kkZar ykHk 12005 :i, gks] rks B dk

ykHkka’k D;k gS \ ¼:i, esa½

(a) 5800 (b) 4700 (c) 4200 (d) 4900 (e) 5600

[Indian Bank PO (Pre.) Exam. 21.01.2017] 53. A, B and C invested Rs. 45,000, Rs. 90,000 and Rs. 90,000

respectively to start a business. At the end of two years, they earned a profit of Rs. 1,64,000. What will be B’s share in the total profit?

A, B ,oa C us Øe’k% 45,000 :i,] 90,000 :i, ,oa 90,000 :i, ds fuos’k

ls ,d lk>k O;kikj vkjaHk fd;kA nks o"kksaZ ds i'pkr~ mUgksaus 1,64,000 :i, dk ykHk vftZr fd;kA B dk ykHkka’k D;k gS\


[Indian Bank PO (Pre.) Exam. 21.01.2017] 54. A started a business with an investment of Rs. 12,000. At the end

of six months from the start of the business, A withdrew half of his initial investment and B and C invested in the ratio of 10 : 9 respectively. If A’s share in annual profit of Rs. 14,000 was Rs. 4500, what was the investment made by B?

A us 12,000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;kA vkjaHk ls 6 ekg ckn A us vius fuos’k dh vk/kh jkf’k okil ys yh ,oa B rFkk C Øe’k% 10 : 9 ds fuos’k ls mlds lk>snkj cu x,A ;fn dqy okf"kZd ykHk 14,000 :i,

esa A dk ykHkka’k 4500 :i, gks] rks B dk fuos’k D;k Fkk\


[IBPS SO (Agriculture) Exam. 29.01.2017] 55. A and B started a business with the investments in the ratio of 2 :

5 respectively. After four months from the start of the business, C joined and the respective ratio between the investments of B and C was 5 : 3. If the annual profit earned by them was Rs. 48,600, what was A’s share in the profit?

A ,oa B us Øe’k% 2 : 5 ds vuqikr esa fuos’k ls ,d lk>k O;olk; vkjaHk

fd;kA vkjaHk ls 4 ekg ckn C Hkh mudk lk>snkj cu x;k rFkk B ,oa C ds

fuos’k dk laxr vuqikr 5 : 3 FkkA ;fn muds }kjk vftZr okf"kZd ykHk 48600 :i, Fkk] rks A dk ykHkka’k D;k Fkk\


(NABARD Assistant Manager Online Exam. 25.03.2017) 56. A, B and C started a business with investments of Rs. 1200, Rs. 400

and Rs. 300 respectively. At the end of 6 months from the start of the business, A invested an additional amount of Rs. ‘x’. If the total

annual profit was 53

4times B’s share in annual profit, what was

the value of x?



A, B ,oa C Øe’k% 1200 :i,] 400 :i, ,oa 300 :i, ds fuos’k ls ,d

lk>k O;kikj vkjaHk djrs gSaA vkjaHk ls 6 ekg ckn A, x :i, dh vfrfjDr

/kujkf’k dk fuos’k djrk gSA ;fn dqy okf"kZd ykHk B ds ykHkka’k dk 53

4xquk Fkk] rks x dk eku D;k Fkk\

(a) 1200 (b) 1000 (c) 900 (d) 800 (e) 850

[SBI PO Online (Pre.) Online Exam. 06.05.2017] 57. P and Q started a business by investing Rs. 15,000 and Rs. 18,000

respectively. After four months R joined them with a capital of Rs. 10,000. After two more months Q left the business with his capital. At the end of the year P got a share of Rs. 4,500 in the profit. What is the total profit earned?

P ,oa Q us Øe’k% 15,000 :i, ,oa 18,000 :i, ds fuos’k ls ,d O;kikj

vkjaHk fd;kA vkjaHk ls 4 ekg ckn R, 10,000 :i, ds fuos’k ls mudk lk>snkj

cu x;kA vxys 2 ekg ds ckn Q fuos’k lfgr O;kikj ls vyx gks x;kA o"kkZar

esa P dks 4500 :i, dk ykHkka’k feykA dqy okf"kZd ykHk D;k gS\


[SBI PO Online (Pre.) Exam. 07.05.2017] 58. Tom started a business with Rs. 52000 and after 4 months Harry joined

him with Rs. 39000. At the end of the year out of the total profits Harry received total Rs. 20000 including 1/4th of the profits as commission for managing the business. What profit did Tom receive?

VkWe us 52000 :i, ds fuos’k ls ,d O;kikj vkjaHk fd;k ,oa 4 ekg i'pkr~ gSjh 39000 :i, ds fuos’k ls mldk lk>snkj cu x;kA o"kkZar esa gSjh dks

izkIr ykHkka’k 20000 :i, Fkk ftlesa mldk O;kikj izca/ku ds fy, dqy

ykHk dk ,d pkSFkkbZ deh’ku 'kkfey FkkA VkWe dk ykHkka’k D;k Fkk\


(NICL A.O. Exam. 05.06.2017) 59. A, B and C jointly thought of engaging themselves in a business

venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. What is the share of B in the profit?

A, B ,oa C us feydj ,d lk>k O;kikj djus dh ;kstuk cukbZA ;g r;

gqvk fd A, 6500 :i, dk fuos’k 6 ekg ds fy, B, 8400 :i, dk fuos’k 5 ekg ds fy, ,oa C, 10000 :i, dk fuos’k 3 ekg ds fy, djsxkA A dk;Zdkjh lnL; Fkk ftls dqy ykHk dk 5% vfrfjDr feykA vftZr ykHk 7400 :i, FkkA B dk ykHkka’k D;k Fkk\


(RBI Officer Grade-B Phase-I Exam. 17.06.2017) 60. A began a small business with a certain amount of money. After

four months from the start of the business, B joins the business with an amount which is Rs. 6,000 less than A’s initial investment. C joins the business after seven months from the start of business with an amount which is Rs. 2,000 less than A’s initial investment. At the end of the year total investment reported was Rs. 1,42,000, what will be A’s share in the profit, if B received Rs. 8,000 as profit share? (in Rupees)

A us ,d fuf’pr /kujkf’k fuos’k dj ,d y?kq O;kikj vkjaHk fd;kA vkjaHk

ls pkj ekg i'pkr~ B, A dk lk>snkj cu x;k ftlus A ds vkjafHkd fuos’k

ls 6000 :i, de /kujkf’k dk fuos’k fd;kA O;kikj ds vkjaHk ls 7 ekg ckn C O;kikj dk lk>snkj cu x;k ftlus A ds vkjafHkd fuos’k ls 2000 :i, de /kujkf’k dk fuos’k fd;kkA o"kkZar esa dqy fuos’k 142000 :i,

jgkA A dk ykHkka’k D;k gksxk ;fn B dk ykHkka’k 8000 :i, gks\ ¼:i, esa½

(a) 48,000 (b) 46,500 (c) 46,000 (d) 42,000 (e) 48,500

(NABARD Assistant Manager Grade ‘A’ Online Exam. 05.08.2017)

61. A and C started a business and B joined after 4 months from the start of the business. The respective ratio between the investment of A, B and C was 3 : 7 : 4. If B share in annual profit was Rs. 2000 more than that of A. What was the total amount of profit earned?

A ,oa C us ,d lk>k O;kikj 'kq: fd;k ,oa pkj ekg ckn B mudk lk>snkj

gks x;k A, B ,oa C ds fuos’k dk laxr vuqikr 3 : 7 : 4 FkkA ;fn okf"kZd ykHk

esa B dk fgLlk A ds fgLlk ls 2000 :i, vf/kd Fkk] rks dqy okf"kZd ykHk

D;k Fkk\


(NABARD Assistant Manager Online Exam. 06.08.2017) 62. A started a business. After 4 months from the start of the business, B

and C joined. The respective ratio between the amounts invested by A, B and C was 6 : 11 : 12. If C’s share in annual profit was Rs. 720 more than A’s share, what was the total annual profit earned?

A us ,d O;kikj vkjaHk fd;kA vkjaHk ls 4 ekg ckn B ,oa C mlds lk>snkj

cu x,A A, B ,oa C }kjk fuosf’kr /kujkf’k;ksa dk laxr vuqikr 6 : 11 : 12 FkkA ;fn dqy okf"kZd ykHk esa C dk fgLlk A ds fgLls ls 720 :i, vf/kd

Fkk] rks vftZr dqy okf"kZd ykHk D;k Fkk \


(NABARD Assistant Manager Online Exam. 06.08.2017) 63. A starts a business with an initial investment of Rs. 1200. x

months after the start of business, B joined A with an initial investment of Rs. 1500. If total profit was Rs. 1950 at the end of the year and B’s share of profit was Rs. 750, find the value of x.

A us 1200 :i, ds vkjafHkd fuos’k ls ,d O;kikj vkjaHk fd;kA O;kikj

vkjaHk djus ds x ekg ckn B, 1500 :i, ds fuos’k ds lkFk A dk lk>snkj

cu x;kA ;fn ,d o"kZ ds ckn dqy ykHk 1950 :i, gks ,oa B dk ykHkka’k 750 :i, gks] rks x dk eku D;k gS \

(a) 5 months (b) 6 months (c) 8 months (d) 9 months (e) 7 months

(IBPS RRBs Officer CWE [(Prelim Exam.) 09.09.2017] 64. Ravi starts a business with Rs. 45000. After a certain period of

time he is joined by Mohan who invests Rs. 30000. At the end of the year they divide the profit in the ratio 9 : 4. After how many months did Mohan join Ravi?

jfo 45000 :i, ds fuos’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls dqN

le; ckn eksgu 30000 :i, ds fuo s’k ds lkFk mldk lk>snkj cu x;kA

o"kkZar esa mu yksxksa us ykHk dks Øe’k% 9 : 4 ds vuqikr esa ckaVk \ fdrus

ekg ckn eksgu us jfo ds O;kikj esa Hkkxhnkjh dh \

(a) 4 (b) 5 (c) 6 (d) 2 (e) 7 (IBPS RRBs Officer CWE (Prelim Exam.) 10.09.2017)

65. A started a business with an investment of Rs. 2800. After some

months B joined with investment of Rs. 3600 and 2 months after B joined, C joined with an investment of Rs. 5600. If A’s and C’s share in annual profit was equal, for how many months did C invest?

A us 2800 :i, ds fuos’k ds ,d O;kikj vkjaHk fd;kA dqN ekg ckn B 3600 :i, ds fuos’k ds lkFk mldk lk>snkj cu x;k ,oa B ds O;kikj ds

'kkfey gksus ds 2 ekg ckn C 5600 :i, ds fuos’k ds lkFk A ,oa B dk

lk>snkj cu x;kA ;fn okf"kZd ykHk esa A ,oa C dk ykHkka’k leku Fkk] rks C us fdrus ekg ds fy, fuos’k fd;k \

(a) 8 (b) 4 (c) 6 (d) 5 (e) 9 (IBPS Bank PO/MT CWE-VII (Prelim Exam 14.10.2017)

66. A, B and C invested in a business in the ratio 6 : 8 : 9. B invested for

a period whose numerical value is 112.5% of B’s investment but A and C invested for one year. If profit of B at the end of the year is Rs. 16750 then what is the share of C in the annual profit ? (in Rs.)

A, B ,oa C us ,d O;kikj esa Øe’k% 6 : 8 : 9 ds vuqikr esa fuos’k fd;kA B ds

fuos’k dh vof/k dk la[;kRed eku B ds fuos’k ¼vuqikr½ dk 112.5% gS

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tcfd A ,oa C izR;sd us ,d o"kZ ds fy, fuos’k fd;kA ;fn o"kkZar esa B dk

ykHkka’k 16750 :i, gks] rks C dk ykHkka’k D;k gS \ ¼:i, esa½

(a) 20225 (b) 22125 (c) 25225 (d) 25125 (e) 23125

(IBPS Bank PO/MT CWE-VII (Prelim Exam 15.10.2017) 67. A and B started a business with Rs. 72000 and Rs. 60000

respectively. After 4 months, C replaced B with x% of B’s capital. After 1 year C’s share of profit out of the total profit of Rs. 48000 is Rs. 11200. Find the value of x.

A ,oa B us Øe’k% 72000 :i, ,oa 60000 :i, ds fuos’k ls ,d O;kikj

vkjaHk fd;kA vkjaHk ls 4 ekg ckn] B dk LFkku C ys ysrk gS ,oa B dh iwath

ds x% ds lerqY; iawth dk fuos’k djrk gSA ,d o"kZ ckn 48000 :i, ds

dqy ykHk esa C dk ykHkka’k 11200 :i, gSA x dk eku Kkr dhft,A

(a) 63 (b) 70 (c) 72 (d) 68 (e) 71 (IBPS RRBs Officer CWE (Main Exam.) 05.11.2017)

68. A and B started a business B’s investment was 2.5 times that of A.

The respective ratio between the time period for which A invested and that for which B invested was 3 : 1. If the total investment made by A and B together was Rs. 28,000 and the annual profit earned was Rs. 2500 less than A’s investment, what was the difference between A’s share and B’s share in the annual profit?

A ,oa B us ,d O;olk; vkjaHk fd;kA B dk fuos’k A ds fuos’k dk 2.5 xquk FkkA A ,oa B ds fuos’k dh vof/k dk laxr vuqikr 3 : 1 FkkA ;fn A ,oa B dks feykdj

dqy fuos’k 28000 :i, Fkk ,oa dqy vftZr okf"kZd ykHk A ds fuos’k ls 2500 :i, de Fkk] rks okf"kZd ykHk esa A ,oa B ds ykHkka’kksa dk varj D;k Fkk \


(Canara Bank PO Exam. 04.03.2018) 69. A starts a certain business with Rs. 4000. Three months from the

start of the business, B joins with an amount which is Rs. 500 more than that invested by A. Nine months from the start of the business, B leaves and C joins with an amount, which is Rs. 1500 more than that invested by B. If B’s share from the annual profit is Rs.18000, what is the annual profit earned?

A, 4000 :i, dh /kujkf’k ls ,d O;kikj vkjaHk djrk gSA vkjaHk ls 3 ekg ckn B, A ds fuos’k ls 500 :i, vf/kd dh /kujkf’k ds lkFk O;kikj esa

'kkfey gks tkrk gSA O;kikj ds vkjaHk ls 9 ekg ckn B vyx gks tkrk gS ,oa C, B dh /kujkf’k ls 1500 :i, vf/kd fuos’k ls O;kikj esa 'kkfey gks tkrk

gSA ;fn dqy okf"kZd ykHk esa ls B dk ykHkka’k 18000 :i, gks] rks dqy

vftZr okf"kZd ykHk D;k gS \


(IDBI Bank PO Exam. 29.04.2018) 70. A, B and C enter into a partnership. A invests Rs. 8000 for the

whole year, B puts in Rs. 12000 at the first and increasing to Rs. 16000 at the end of 4 months, whilst C puts in at first Rs. 16000 but withdraw Rs. 4000 at the end of 9 months. Find the profit of A at the end of year, if the total profit is Rs. 22600?

A, B vkSj C us ,d lk>snkjh dhA A us 8000 :i;s iwjs o"kZ ds fy, fuos'k

fd;s] B us igys 12000 :i;s j[ks vkSj bUgsa 4 eghus ds var esa 16000 :i;s rd c<+k;kA tcfd C us igys 16000 :i;s j[ks vkSj 9 eghus ds

var esa 4000 :i;s fudkysA ;fn dqy ykHk 22600 :i;s gS rks o"kZ ds

var esa A dk ykHk fdruk gS\


[IBPS (Clerk) Mains 2016] 71. The ratio of investment of A, B, C and D in a business is 2 : 3 : 5 : 7. A and

B started the business initially, while C and D joined the business after 4 months. After 1 yr, the profit of C is equal to the average of the profit of A and D i.e., Rs. 12000. Then, find the share of B.

A, B, C vkSj D dk ,d O;olk; esa fuos'k dk vuqikr 2 : 3 : 5 : 7 gSA A vkSj B 'kq:vkr esa O;olk; 'kq: djrs gSA tcfd C vkSj D, 4 eghus ckn O;olk; 'kq: djrs gSA ,d o"kZ ckn C dk ykHk A vkSj D ds lkFk ds vkSlr

ds cjkcj gSA rks B dk 'ks;j Kkr djks\ (a) Rs. 10000 (b) Rs. 10800 (c) Rs. 12000 (d) Rs. 11000 (e) None of these

[IBPS RRB (OA) Mains 2016] 72. P and Q entered into partnership investing Rs. 12000 and Rs. 16000,

respectively. After 8 months, R also joins the business with a capital of Rs. 15000. The share of R in a profit of Rs. 45600 after 2 yr.

P vkSj Q us 12000 :i;s vkSj 16000 :i;s ls ,d lk>snkjh 'kq: dhA

8 eghus ckn R, 15000 :i;s dh i¡wth ds lkFk O;olk; esa 'kkfey gqvkA

2 o"kZ ckn 45600 :i;s ds ykHk esa R dk 'ks;j D;k gksxk\


[IBPS RRB (OA) Mains 2016] 73. A started a business, B and C joined him in the 1st year, they

invested in the ratio of 5 : 4 : 7 respectively and the period for which they invested was in the ratio of 4 : 3 : 2, respectively. In the 2nd year A doubled the investment, B and C continued with the same investment and they invested for the same number of month as they did in 1st year. The total profit in 2 yr was Rs. 14000. What is B's share of profit?

A us ,d O;olk; 'kq: fd;kA B vkSj C ml igys o"kZ esa 'kkfey gks x;sA

muds fuos'k dk vuqikr 5 : 4 : 7 gS vkSj muds fuos'k ds le; dk vuqikr

4 : 3 : 2 gSA nwljs o"kZ B us fuos'k nqxquk dj fn;kA B vkSj C us fuos'k ogh j[kk rFkk mUgksus tSlk izFke o"kZ esa Fkk mrus gh le; ds fy, fuos'k fd;kA

f}rh; o"kZ esa dqy ykHk 14000 :i;s FkkA B ds ykHk ds 'ks;j D;k gS\


[IBPS (PO) Mains 2016] 74. A and B started business with Rs. 600 and Rs. 500, respectively. After

4 months, C replaces B with X% of B's capital. After 1 yr, C's share of profit out of the total profit 24000 is 5600. Find the value of X.

A vkSj B us 600 :i;s vkSj 500 :i;s ls O;olk; 'kq: fd;kA 4 eghus ckn C, B ds LFkku ij B dh jkf'k ds x% ls vk;kA ,d o"kZ ckn 24000 :i;s dqy ykHk esa C dk 'ks;j 5600 :i;s gSA x dk eku Kkr djks\

(a) 60 (b) 70 (c) 75 (d) 66 (e) 65 [IBPS RRB (OS) Mains 2017]

75. Satish and Bhavya entered into a partnership with Rs. 15000 and

Rs. 18000, respectively. Abhishek joined them after 'x' months and contributes Rs. 24000 and Bhavya left 'x' month before the end of year. If they share profit at the end of the year. If they share profit in the ratio 10 : 9 : 12. Find the value of 'x'.

lrh'k vkSj HkO;k us 15000 :i;s vksj 18000 :i;s ds lkFk ,d lk>snkjh

'kq: dhA vfHk"ksd 'x' eghus ckn mlesa 'kkfey gqvkA vkSj 24000 :i;s

dk ;ksxnku fd;kA HkO;k us o"kZ ds var ls 'x' eghus igys NksM+ fn;kA ;fn

os o"kZ ds var esa ykHk 'ks;j djrs gSA ;fn muds ykHk dk 'ks;j 10 : 9 : 12 vuqikr esa gS rks x dk eku Kkr djks\

(a) 4 months (b) 6 months (c) 9 months (d) 3 months (e) 8 months

[IBPS (Clerk) Mains 2017] Directions (Q. Nos. 76 and 77) A, B and C invested Rs. 900 Rs. 1600

and Rs. 700 respectively in a business venture. After end of the first quarter they invested additional amount in the ratio of 2 : 5 : 3. Then, after end of the second quarter A, B and C invested additional amount in the ratio of 4 : 3 : 4. Again after end of the 3rd quarter they invested additional amount in the ratio of 7 : 6 : 7. They invested the whole amount for one year and the profit earned in the business is proportional to the investment and the period of investment.



funsZ'k ¼iz'u la[;k 76 vkSj 77½ A, B vkSj C us 900 :i;s] 1600 :i;s vkSj

700 :i;s fuos'k fd;sA igyh frekgh ds var esa mUgksus vfrfjDr jkf'k 2 : 5 : 3 ds vuqikr esa fuos'k dhA fQj nwljh frekgh ds var esa A, B vkSj C us vfrfjDr jkf'k 4 : 3 : 4 ds vuqikr esa fuos'k dhA iqu% rhljh frekgh ds var esa mUgksus 7 : 6 : 7 ds vuqikr esa fuos'k fd;kA mUgksus iwjh jkf'k ,d o"kZ ds fy, fuos'k dh vkSj

O;olk; esa dek;k x;k ykHk fuos'k vkSj fuos'k dh vof/k ds lekuqikrh gSA

[SBI (PO) Mains 2017] 76. If they had invested additional amount at the end of each quarter

as same ratio as they had invested after end of the first quarter, then find the profit of B at the end of one year if the total profit at the end of the year is Rs. 125000.

;fn mUgksus izR;sd frekgh ds var esa mlh vuqikr esa vfrfjDr jkf'k dk

fuos'k fd;k Fkk] ftl vuqikr esa mUgksus igyh frekgh ds var ds ckn

fuos'k fd;k FkkA rks ,d o"kZ ds var esa B dk ykHk D;k gksxk] ;fn o"kZ ds

var esa dqy ykHk 125000 :i;s gSA

(a) Rs. 75000 (b) Rs. 62500 (c) Rs. 125000 (d) Rs. 37500 (e) Rs. 65000 77. If the sum of the total amount invested by A and B in the year is

Rs. 9000 and that of B and C is Rs. 10500, then find the total amount invested by all of them for only 2nd quarter?

;fn A vkSj B ds }kjk dqy fuosf'kr jkf'k dk ;ksx 9000 :i;s gS rFkk B o C dk

10500 :i;s gS rks muds }kjk dsoy nwljh frekgh rd fuosf'kr dqy jkf'k D;k gS\


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Solutions

Answer Key 1 b 2 c 3 a 4 e 5 a 6 a 7 b 8 e 9 b 10 d 11 b 12 a 13 e 14 b 15 c 16 d 17 e 18 a 19 b 20 a 21 d 22 e 23 b 24 d 25 a 26 a 27 c 28 e 29 e 30 a 31 a 32 c 33 a 34 e 35 b 36 c 37 a 38 c 39 e 40 a 41 c 42 a 43 b 44 d 45 a 46 b 47 a 48 e 49 c 50 c 51 a 52 d 53 e 54 a 55 c 56 d 57 d 58 b 59 d 60 a 61 c 62 b 63 b 64 a 65 c 66 d 67 b 68 c 69 c 70 a 71 b 72 c 73 b 74 b 75 d 76 b 77 b

1. (b)

Classical Approach:

Shiv kumar’s equivalent capitals

= (25000 × 3) + (10000 × 2) + (10000 × 1) = 105000

Rakesh’s equivalent capitals = 35000 × 2 = 70000

Suresh’s equivalent capital = 35000 × 1 = 35000

Total profit of Rs. 150000 will be distributed in the ratio of their equivalent capitals.

Shiv Kumar : Rakesh : Suresh = 105 : 70 : 35 = 3 : 2 : 1

Rakesh’s share in the total profit

=+ +

2

3 2 1× 150000 = Rs. 50000

Alternatively:

Shiv Kumar : Rakesh : Suresh

(1996 – 1997) 25000 : 0 : 0

(1997 – 1998) + 35000 : +35000 : + 0

(1998 – 1999) + 45000 : +35000 : +35000

105 : 70 : 35

3 : 2 : 1

Rakesh ‘s profit = 2

6× 150000 = 50000

2. (c)

Classical Approach:

Total equivalent capital of A for 2 years

= 5x × 12 + 8x × 12 = 156x

Total equivalent capital of B for 2 years = 6x × 24 = 144x

Total equivalent capital of C for 2 years

= 8x × 12 + 4x × 12 = 144x

∴ Required ratio = A : B : C = 156x : 144x : 144x = 13 : 12 : 12

3. (a)

Classical Approach:

A : B = 3 : 5 Let the amount = Rs. x

then, A’s share =3

8

x ⇒ B’s share =

5

8

x

After six months C’s amount =5

8

x

Ratio of profit sharing =3

8

x×12 :

5

8

x×12 :

5

8

x×6 = 6 : 10 : 5

4. (e)

Classical Approach:

The ratio of capital invested by each partner i.e. Sunetra and Nikhil for 3 years in order to get the profit is :

36 × 50000 : 30 × 80000 = 3 : 4

∴ Share of Sunetra out of Rs. 24500 = Rs. 3

7× 24500 = 10,500

5. (a)

Classical Approach:

Let their initial investments be Rs. x, Rs. 3x and Rs. 5x respectively, Then, A : B : C

= (x × 4 + 2x × 8) : (3x × 4+3

2

x×8) : (5x × 4+

5

2

x× 8)

= (4x + 16x) : (12x + 12x) : (20x + 20x) =20x : 24x : 40x = 5 : 6 : 10

6. (a)

Classical Approach:

Equivalent capital of Raksha for 3 years


A : B : C

Capital 3 : 5 : 5

Time 2 : 2 : 1

Profit 6 : 10 : 5


C invested same capital as that of B but for half of the

time so profit of C will be half of B.



Sumetra : Nikhil = 3 : 4

So, answer will be a multiple of 3

Only option (b) satisfies.


A : B : C

First 4 months 1 : 3 : 5

Last 8 months 2 : 3

2 :

5

2

Profit 1+4 : 3+3 : 5+5

5 : 6 : 10



= Rs. (60000 × 1 + 80000 × 2)

= Rs. (60000 + 160000) = Rs. 220000

Equivalent capital of Kamal for 3 years = Rs. 90000 × 21

2

= Rs.

590000

2= Rs. 225000

Ratio of capitals = 220000 : 225000 = 44 : 45

Sum of ratios = 44 + 45 = 89 Total profit = Rs. 7120000

∴ Raksha’s share = Rs.

447120000

89= Rs. 3520000

7. (b)

Classical Approach:

Let Ninad invest Rs. x. ∴ Vikas’s investment = Rs. 2x

Manav’s investment = Rs. 3x

Ratio of the equivalent capitals for 1 year of Ninad, Vikas and Manav respectively= x × 12 : 2x × 6 : 4 × 3x = 1 : 1 : 1

Clearly, the profit will be shared equally.

∴ Manav’s share = Rs. 1

3× 45000 = Rs. 15000

8. (e)

Classical Approach:

Ratio of the profit = Ratio of the equivalent capitals of Karan and Shirish for 1 year

= 60000 × 12 : 100000 × 6 720000 : 600000 = 6 : 5

∴ Shirish’s share in the profit = Rs.

5151800

11= Rs. 69000

9. (b)

Classical Approach:

Ratio of the equivalent capitals of Prakash, Sunil and Anil for 3 years

= 11 × 36 : 16.5 × 36 : 8.25 × 36

= 4 : 6 : 3

Anil’s share in the profit = Rs. ( )

+ +

319.5

4 6 3lakh

= Rs. 4.5 lakhs

∴ 50% of Rs. 4.5 lakh = Rs. 2.25 lakh

10. (d)

Classical Approach:

Ratio of the profits of Gina, Shrayon and Deepika

= 48000 × 12 : 62000 × 8 : 80000 × 6

= 48 × 12 : 62 × 8 : 80 × 6 = 36 : 31 : 30

Sum of ratios = 36 + 31 + 30 = 97

∴ Deepika’s share = Rs.

3020661

97= Rs. 6390

11. (b)

Classical Approach:

Ratio of the equivalent capitals of Mrudul and Shailash for 2 years

= 29500 × 24 : 33500 × 20

= 354 : 335

Sum of the ratios = 354 + 335 = 689

∴ Mrudul’s share = Rs.

354120575

689 = Rs. 61950


Taking the ratio of capitals only.

Raksha : Kamal

6 × 1 + 8 × 2 : 9 ×5

2

22 : 45

2

44 : 45

Raksha's share = 44

89× 7120000

Digit sum of Raksha's share is 1. Only option (a) has digit sum of 1.


Vikas invested double the capital than Ninad but for half the time so, profit of Ninad and Vikas will be equal.

Manav invested thrice the capital than Ninad but for one third of the time so, profit of Ninad and Manav will also be equal.

Hence, Profit will be divided in 1 : 1 : 1

Manav's share = 1

3 × 45000 = 15000

❖ Neon Approach (Thought Process): Shirish invested 100000 for 6 months can be considered

as an investment of 50000 for 12 months. So, Karan : Sirish = 60000 : 50000 = 6 : 5

Required Sirish's share = 5

11 × 151800 = 6 (digit sum)

None of the options have digit sum of 6.


Since time period of investment is same ∴ Profit will be shared in the ratio of investments.

Parkash : Sunil : Anil

11 : 16.5 : 8.25

1 : 1.5 : .75

4 : 6 : 3

Required answer = 50% of 3

13of 19.5

= 1 3

2 13× 19.5 = 2.25

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12. (a)

Classical Approach:

Ratio of profit = x × 12 : 2x × 6 : 3x × 4 = 1 : 1 : 1

∴ C’s share =1

3× 27000 = Rs. 9000

13. (e)

Classical Approach:

Ratio of the earned profit = Ratio of the equivalent capitals of Tanvi and Anisha for 1 year

= 45000 × 12 : 52000 × 4 45 × 3 : 52 = 135 : 52

Sum of ratios = 135 + 52 = 187

∴ Anisha’s share = Rs.

5256165

187= Rs. 15618

14. (b)

Classical Approach:

Ratio of equivalent capitals for 1 year

= 30000 × 12 : (24000 × 4 + 18000 × 8) : (42000 × 4 + 32000 × 8)

= 360000 : 240000 : 424000

= 90 : 60 : 106 = 45 : 30 : 53

Sum of ratios = 45 + 30 + 53 = 128

∴ B’s share =30

128× 11960 ≈ Rs. 2803

15. (c)

Classical Approach:

Ratio of profit = 27000 : 81000 : 72000

= 3 : 9 : 8

If total profit be Rs. x, then

B’s share =9

20

x= 36000

⇒ x =36000 20

9= Rs. 80000

16. (d)

Classical Approach:

Share of profit = Geeta : Shweta : Sita

= 4200 : 8400 : 5400 = 7 : 14 : 9

Sita’s share = ( )+ +

9

7 14 9× 24000 =

9

30× 24000 = Rs. 7200

Remaining amount after investing 32%

= 7200 × (100 - 32)% =7200 68

100= Rs. 4896

17. (e)

Classical Approach:

Let C joined the partnership after x months.


(A + B)’s share in profit

= Rs. (10600 - 2120) = Rs. 8480

∴ ( )

( )

+

−

21600 14400 12

18000 12 x=

8480

2120= 4

⇒ ( )

−

36000 12

18000 12 x= 4

⇒ −

24

12 x= 4

⇒ 12 – x = 6 ⇒ x = 12 – 6 = 6 months

18. (a)

Classical Approach:

Ratio of equivalent capitals for 1 year

= (18000 × 12) : (24000 × 8) : (30000 × 6)

= (18 × 12) : (24 × 8) : (30 × 6)

= 18 : 16 : 15

Sum of ratios = 18 + 16 + 15 = 49

∴ If the total profit be Rs. x, then C’s profit =15

49x

∴15

49

x= 1845 ⇒ x =

1845 49

15= Rs. 6027

19. (b)

Classical Approach:


= (12000 × 4 + 12000 × 6) : (26000 × 6 + 2 × 26000) : 32000 × 10


Mrudal : Shailesh

Capital 295 : 335

59 : 67

Time 24 : 20

6 : 5

Profit 354 : 335

Mrudul's share = 354

689× 120575

digit sum of this expression is 3. option (b) & (c) satisfy. But Mrudul's share is more than 50%. Hence (b) is correct.


B invested double the capital than A but for half the time so, profit of A and B will be equal.

C invested thrice the capital than A but for one third of the time so, profit of A and C will also be equal.

Hence, Profit will be divided in 1 : 1 : 1

C's share = 1

3 × 27000 = 9000


A : B : C = 18 : 16 : 15

A + B + C = 49

Hence total profit will be a multiple of 7. only option (a) satisfies.



= 120000 : 208000 : 320000 = 120 : 208 : 320 = 15 : 26 : 40

Sum of ratios = 15 + 26 + 40 = 81

∴ B’s share =26

81× 53622 = Rs. 17212

20. (a)

Classical Approach:

C’s investment = Rs. x thousand

∴ Ratio of their equivalent capitals for 1 year

= 12 × 24000 : 12 × 28000 : 8 × x × 1000 = 36 : 42 : x

Sum of ratios = 36 + 42 + x = 78 + x

⇒ +

19950

78

x

x= 7600 ⇒ 1995x = 760 × 78 + 760x

⇒ 1995x – 760x = 760 × 78 ⇒ 1235x = 59280

⇒ x =59280

1235= Rs. 48 thousand

21. (d)

Classical Approach:

Suppose C's investment was Rs. x.

The, ratio in invests = 17600 × 12 : 12800 × 12 : x × 8

= 26400 : 19200 : x

C's share =

's investmentC

Total investment× Total profit

⇒ 11000 = ( )

+ +

36080

26400 19200

x

x

⇒ 11000 × (45600 + x) = 36080x

⇒ (45600 + x)25 = 82x ⇒ 1140000 + 25x = 82x

⇒ 57x = 1140000 x = Rs. 20000

22. (e)

Classical Approach:

As per question, ∵ Capital investment of Pankaj for 1 yr

= 42000 × 12 = Rs. 504000

Capital investment of Nitin for 1 yr = 57000 × 8 = Rs. 456000

∴ Required difference = ( )

( )

−

+

504000 456000

504000 456000× 26000

= 48000

960000 × 26000 = Rs. 1300

23. (b)

Classical Approach:

B’s investment = 16000 5

8= Rs. 10000

Ratio of equivalent capitals of A, B and C for 1 year

= (3 × 16000 + 9 × 14000) : (10000 × 9) : (9000 × 6)

= (48000 + 126000) : 90000 : 54000

= 174000 : 90000 : 54000

= 174 : 90 : 54 = 29 : 15 : 9 9 ≡ 1026

∴ 29 ≡1026

9× 29 = Rs. 3306

24. (d)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 year

= 18000 × 12 : 24000 × 10 : (15000 × 4 + 18000 × 4)

= 18000 × 12 : 240000 : (60000 + 72000)

= 18000 × 12 : 240000 : 132000 = 18 : 20 : 11

Share of the terms of ratio = 18 + 20 + 11 = 49

B’s share = Rs.

2012005

49= Rs. 4900


A : B : C = 15 : 26 : 40

share of B will be a multiple of 13. Only option (b) satisfies.


Let C invested 4000x

A : B : C Capital 6 : 7 : x

Time 3 : 3 : 2 Profit 18 : 21 : 2x

=+

2 7600

39 2 19950

x

x

2x × 19950 = 7600 (39 + 2x)

Applying digit sum

3x = 3 + 8x

5x = 6

Digit sum of x should be 3. Digit sum of 4000x is also 3. Only option (a) satisfies.


Let C invested 1600x

A : B : C Capital 11 : 8 : x

Time 3 : 3 : 2 Profit 24 : 33 : 2x

=+

2 11000

57 2 36080

x

x

Applying digit sum = =+

2 2

3 2 8

x

x

16x = 6 + 4x ⇒ 3x = 6

Digit sum of x can be 2, 5 or 8.

Digit sum of 1600x can be 2, 5 or 8.

only option (d) satisfies.

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25. (a)

Classical Approach:

Let initial investment of A be Rs. x.

Total investment at the end of year

= 12x + 8 (x - 6000) + 5 (x - 2000)

= 12x + 8x + 5x – 48000 – 10000 = Rs. (25x - 58000)

∴ 25x – 58000 = 142000 ⇒ 25x = 142000 + 58000

= 200000 ⇒ x =200000

25= Rs. 8000

Ratio of profit sharing for A, B and C

= (12 × 8000) : (8 × 2000) : (5 × 6000)

= 96000 : 16000 : 30000 = 48 : 8 : 15

∴ B’s share = Rs. 8000

∴ A’s share =48

8× 8000 = Rs. 48000

26. (a)

Classical Approach:

Let A’s investment be Rs. x. B’s investment = Rs. 1.5x

and, C’s investment = Rs. 2

x

Ratio of shares = x × 12 : 1.5x × 9 : 2

x× 6

24 : 27 : 6 = 8 : 9 : 2

Sum of ratios = 8 + 9 + 2 = 19

Total profit = Rs. 23750

Share of working partner A

= Rs.

+

10 8 23750 9023750

100 19 100

= Rs. (2375 + 9000) = Rs. 11375

27. (c)

Classical Approach:

Initial investment of A, B and C respectively

= Rs. 125, Rs. 750 and Rs. 250 (let)

Ratio of the their equivalent capitals for 1 year

= (125 × 8 + 500 × 4) : (750 × 12) : (250×8 +125×4)

= (1000 + 2000) : (9000) : (2000 + 500)

= 3000 : 9000 : 2500 30 : 90 : 25 = 6 : 18 : 5

Sum of ratios = 6 + 18 + 5 = 29

∴ B’s share =18

29× 5800 = Rs. 3600

28. (e)

Classical Approach:

B’s investment = Rs. x.

C’s investment = Rs. y.


=

=

12 1500 5

6 3x⇒ =

3000 5

3x ⇒ x =

3000 3

5= Rs. 1800

Again ratio of equivalent capitals of A and C =

= 5

3 ⇒ 5y = 1500 × 9 ⇒ y =

1500 9

5= Rs. 2700

∴ x + y = Rs. (1800 + 2700) = Rs. 4500

29. (e)

Classical Approach:

Total investment = Rs. x (let)

A’s investment = Rs. 5

x

(B + C)’s investment = x -5

x = Rs.

4

5

x … (i)

B’s investment =5

x+ C’s investment

∴ (B - C)’s investment = Rs.5

x … (ii)

On adding both equations,

∴ 2 × B’s investment = Rs.

+

4

5 5

x x= Rs. x

B’s investment = Rs. 2

x

From equation (i)

1500 12

4

y


A : B : C = 8 : 9 : 2

B + C will get = 11

19of 90% of 23750

= =11 9

23750 1237519 10

A will get = 23750 – 12375 = 11375


A : B : C = 6 : 18 : 5

Share of B will be a multiple of 9. Only option (c) satisfies.


A : B : C

Time 12 : 6 : 4

6 : 3 : 2

Profit 5 : 3 : 3

Capital 5

6 :

3

3 :

3

2

5 : 6 : 9

using aryan's ratio

=5 15

1500 x ⇒ x = 4500



C’s investment = Rs.

−

4

5 2

x x = Rs.

−

8 5

10

x x= Rs.

3

10

x

Ratio of profit sharing = 3

: :5 2 10

x x x= 2 : 5 : 3

∴ C’s share =3

10× 5200 = Rs. 1560

30. (a)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 month = (20000 × 6 + 12000 × 6) : (28000 × 6 + 20000 × 6) : (36000 × 6 + 44000 × 6)

= (120 + 72) : (168 + 120) : (216 + 264)

= 192 : 288 : 480 = 2 : 3 : 5

If the total profit at the end of the year be Rs. x, then

C’s share =5

10× x = Rs.

2

x

∴2

x= 12550 ⇒ x = 2 × 12550 = Rs. 25100

31. (a)

Classical Approach:

A’s initial investment = Rs. 18 x B’s initial investment = Rs. 7x


( )

( )

+ + =

+ +

18 4 18 2000 8 2

7 4 7 7000 8 1

x x

x x ⇒

( )

( )

+ + =

+ +

8 18 2000 2 2

7 7 7000 2 1

x x

x x

⇒ 18x + 36x + 4000 = 14x + 28x + 28000

⇒ 54x – 42x = 28000 – 4000 ⇒ 12x = 24000

⇒ x =24000

12= 2000

∴ Total initial investment of A and B = 25x

= 25 × 2000 = Rs. 50000

32. (c)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 year = (12 × 4) : (6 × 8) : (5 × 8) = 48 : 48 : 40 = 6 : 6 : 5

Sum of ratios = 6 + 6 + 5 = 17

If total annual profit be Rs. x, then

A’s share – C’s share = 250 ⇒ −6 5

17 17

x x= 250

⇒ 17

x= 250 ⇒ x = 17 × 250 = Rs. 4250

33. (a)

Classical Approach:

A : B = 5 : 3 = 10 : 6

B : C = 2 : 3 = 6 : 9

∴ A : B : C = 10 : 6 : 9

Ratio of the equivalent capitals of A, B and C for 1 month = 10x × 12 : 6x × 12 : 9x × 6 = 20 : 12 : 9


∴ Difference between the shares of B and C

=−

12 9

41× 12300 = Rs. 900

34. (e)

Classical Approach:


= (1600 × 6 + 1800 × 6) : [(2000 × 8) + (2000 + 4x)4] : [1800 × 8 + (1800 + x) × 4]

= (9600 + 10800) : (16000 + 8000 + 16x) : (14400 + 7200 + 4x)

= 20400 : 24000 + 16x : 21600 + 4x

= 5100 : 6000 + 4x : 5400 + x

∴ Sum of the terms of ratio

= 5100 + 6000 + 4x + 5400 + x = 16500 + 5x

∴ +

5100

16500 5x× 3780 = 1080 ⇒

+

1700 378

16500 5x= 36

⇒

+

340 378

3300 x= 36 ⇒ 3300 + x = 3570

⇒ x = 3570 – 3300 = Rs. 270


A : A + B + C

1 : 5

B : A + C

1 : 1

B : A + B + C

1 : 2

A : A + B + C : B

1 : 5

2 : 1

2 : 10 : 5

C's share = 3

10× 5200 = 1560


A : B : C

6 : 6 : 5

using Aryan's ratio

=1 17

250 x ⇒ x = 4250

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35. (b)

Classical Approach:

Let additional investment of B and C respectively after 6 months = Rs. x and Rs. 2x


= (4200 × 4 + 5200 × 6) : 3600 × 6 + (3600 + x) × 4 : 2400 × 6 + (2400 + 2x) × 4

= (16800 + 31200) : (21600 + 14400 + 4x) : (14400 + 9600 + 8x)

= 48000 : 36000 + 4x : 24000 + 8x

Sum of the terms of ratio = 108000 + 12x


+

48000

108000 12x× 2820 = 1200⇒ 108000 + 12x = 2820 × 40

⇒ 108000 + 12x = 112800 ⇒ 12x = 112800 – 108000 = 4800

⇒ x =4800

12= Rs. 400

36. (c)

Classical Approach:

Investment of Mithilesh

= 48000 × 12 = Rs. 576000

and investment of Vidya = 56000 × 5 = Rs. 280000

∵ Ratio of their investments

= 576000 : 280000 = 72 : 35

Hence, share of Vidya in profit =

+

35 5885

72 35 = Rs. 1925

37. (a)

Classical Approach:

Ratio of annual profit of A, B and C

= 8400 : 15600 : 13200 = 7 : 13 : 11

Let the profit of A, B and C is 7x, 13x and 11x, respectively.

∵ 7x = 1960 ∴ x =1960

7= 280

Hence, the difference between the annual profit of B and C = 13x - 11x = 2x = 2 × 280 = Rs. 560

38. (c)

Classical Approach:

Capital ratio of A, B and C

=

+

36 6

2

xx : (2x × 6 + 4x × 6) : (4x × 6 + 3x × 6)

= (6x + 9x) : (12x + 24x) : (24x + 18x)

= 15x : 36x : 42x = 5 : 12 : 14

⇒ Ratio of profits

39. (e)

Classical Approach:


= (3500 × 12) : (2500 × 2) : (6000 × 8)

= 35 × 12 : 25 × 12 : 60 × 8 = 7 : 5 : 8

Sum of the terms of the ratio =7 + 5 + 8 = 20


If the total annual profit be Rs. x, then difference of shares of C and

B = Rs. 1977 ⇒

−

8 5

20 20x = 1977

⇒ 3

20

x= 1977 ⇒ 3x = 1977 × 20 ⇒ x =

1977 20

3= Rs. 13180

40. (a)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 month = 6x × 12 : 11x × 8 : 12x × 8 = 9 : 11 : 12


If total annual profit be Rs. y, then

−12 9

32 32

y y= 720 ⇒

3

32

y= 720 ⇒ y =

720 32

3= Rs. 7680

41. (c)

Classical Approach:


= 10000 × 12 : 18000 × 8 : 24000 × 4

= 10 × 3 : 18 × 2 : 24 = 5 : 6 : 4



538250

15= Rs. 12750


Mithilesh : Vidya

48 × 12 : 56 × 5

72 : 35

share of vidya will be a multiple of 7. only option (c) satisfies.


A : B : C

84 : 156 : 132

7 : 13 : 11

using Aryan's ratio

=7 2

1960 x ⇒ x = 560

AMF (Aryan multiplication factor) = 28


A : B : C = 7 : 5 : 8

using Aryan's ratio

=3 20

1977 x ⇒ x = 13180


A : B : C = 9 : 11 : 12

using Aryan's ratio

=3 32

720 x ⇒ x = 7680

Or

Only option (a) is multiple of 12.



42. (a)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 year = 12 × 25000 : 8 × 15000 : 6 × 20000

= 12 × 25 : 8 × 15 : 6 × 20 = 5 : 2 : 2


If the total profit at the end of year be Rs. x, then

A’s share = Rs. 7750 ⇒ 5

9

x= 7750

⇒ x =7750 9

5= Rs. 13950

43. (b)

Classical Approach:


= (28000 × 5 + 20000 × 7) : (24000×7) : (32000 × 7)

= (28 × 5 + 20 × 7) : (24 × 7) : (32 × 7)

= (140 + 140) : (24 × 7) : (32 × 7)

= 280 : 24 × 7 : 32 × 7 = 5 : 3 : 4


Total annual profit = Rs. x (let)


−

5 3

12× x = 2400 ⇒

6

x= 2400 ⇒ x = 6 × 2400 = Rs. 14400

44. (d)

Classical Approach:


= (16000 × 6 +20000×6) : (12000 × 6) : (18000 × 6)

= (96 + 120) : 72 : 108 = 216 : 72 : 108 = 6 : 2 : 3


Using Aryan's ratio =4 6000

11 x x = 16500

45. (a)

Classical Approach:


= 1500 × 8 : (550 × 8 + 1000 × 4) : 2400 × 8

= 12000 : (4400 + 4000) : 19200

= 120 : 84 : 192 = 30 : 21 : 48


Let the total annual profit be Rs. x.


x -21

99x = 13000 ⇒

−99 21

99

x x= 13000

⇒ 78x = 13000 × 99 ⇒ x =13000 99

78= Rs. 16500

46. (b)

Classical Approach:

Ratio of equivalent capitals of A and B for 1 year

= 2500 × 11 : 4500 × 11 = 5 : 9


Using Aryan's ratio =4 4800

14 x x = 16800

47. (a)

Classical Approach:

Let A leave the partnership after x months.

Ratio of the shares of A and B in the profit

= 3500 × x : 4000 × 12 = 7x : 96

∴ =7 7

96 12

x⇒

8

x= 1 ⇒ x = 8 months

Alternatively:

A : B

Investment 7 : 8

Profit 7 : 12

Time 7

7 :

12

8

2 : 3

So, A joined for 8 months

48. (e)

Classical Approach:

Let B join A in the partnership after x months.


A's share = 5

15 × 38250

1

3 rd of 38250 near to 12000 but not exact 12000 i.e.

somewhat greater than 12000.

Only option (d) satisfies.

See it as: 38250 = 36000 + 2250

Where 2250 = 75 + 75 + 75


Ratio = 6 : 2 : 3

Aryan Ratio

=

4 6000

11 11 15 100 (AMF = 15 × 100)

11 × 15 = 165 × 100


Ratio = 5 × 11 : 9 × 11 = 5 : 9

Difference between two = 4 = 4800

Aryan Ratio = =

4 4800

14 12 14 100 (AMF = 12 × 100)

= 14 × 12 = (13 + 1) (13 – 1) = 132 – 1

= 169 – 1 = 168 × 100 = 16800


A : B

Investment 7 : 8

Time x : 12

7 : 12

So, at place of x, 8 will come i.e. A stayed for 8 months.

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Ratio of the equivalent capitals of A and B for 1 month. = 3600 × 12 : 4000 × (12 - x) = 54 : 5 (12 - x)

∴ =−

54 6

60 5 5x ⇒ 360 – 30x = 54 × 5 = 270

⇒ 30x = 360 – 270 = 90 ⇒ x =90

30= 3 months

49. (c)

Classical Approach:

Ratio of equivalent capital for the first year :

A : B : C = (4 × 2) : (2 × 3) : (3 × 1) = 8 : 6 : 3

Ratio of investments during the second year :

A : B : C = (4 × 1.5) : 2 : 3 = 6 : 2 : 3

∴ Ratio of equivalent capitals for two years

= (8 + 12) : (6 + 6) : (3 + 3) 20 : 12 : 6 = 10 : 6 : 3

∴ C’s share in the total profit =

+ +

3

10 6 3× 47500 = Rs. 7500

50. (c)

Classical Approach:

Raman's investment = First 8 months + Last 4 months

= 3000 × 8 + 1500 × 4 = 30000

Nakul's investment = First 4 months + Next 3 months + Remaining five months

= 1000 × 4 + 4500 × 3 + 3000 × 5 = 32500

Therefore, = =30000 12

32500 13

Raman

Nakul

Raman's share in profit = ( )+

12

12 13× 1800 = Rs. 864

51. (a)

Classical Approach:


= (16000 × 3 + 11000 × 9) : (12000 × 3 + 17000 × 9) : (21000 × 6)

= (16 × 3 + 11 × 9) : (12 × 3 + 17 × 9) : (21 × 6)

= (48 + 99) : (36 + 153) : (126)

= 147 : 189 : 126 = 7 : 9 : 6


∴ Required difference = −

9 6

22×26400

= Rs.

326400

22= Rs. 3600

52. (d)

Classical Approach:


= 18000 × 12 : 24000 × 10 : 15000 × 4 + 18000 × 4

= 18 × 12 : 24 × 10 : (15 × 4 + 18 × 4) = 216 : 240 : 132



2012005

49= Rs. 4900

53. (e)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 2 years = 45000 × 24 : 90000 × 24 : 90000 × 24 = 1 : 2 : 2



2164000

5 = Rs. 65600

54. (a)

Classical Approach:

B’s investment = Rs. 10x

C’s investment = Rs. 9x

Ratio of the equivalent capitals of A, B and C for 1 year = (12000 × 6 + 6000 × 6) : 10x × 6 : 9x × 6

= (72000 + 36000) : 60x : 54x

= 108000 : 6x : 54x = 18000 : 10x : 9x

∴ A’s share =+

18000

19 18000x× 14000

= 4500 ⇒ 19x + 18000 = 56000 ⇒ 19x = 56000 – 18000 = 38000

⇒ x =38000

19= 2000

∴ B’s investment = 10 × 2000 = Rs. 20000

55. (c)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for one year = 2x × 12 : 5x × 12 : 3x × 8 = 24 : 60 : 24 = 2 : 5 : 2



248600

9= Rs. 10800

56. (d)

Classical Approach:


= 1200 × 6 + (1200 + x) × 6 : 400 × 12 : 300 × 12

= 2400 + x : 800 : 600


12005 = 5 × 2401

Factorization = 5 × (49)2

So, answer will have 49 in it for sure

Only one option (d).


Let B & C invested 10000x & 9000x respectively

A : B : C

12 × 6 + 6 × 6 : 10x × 6 : 9x × 6

18 : 10x : 9x

using aryan's ratio

= =+

18 4500 9

18 19 14000 28x 56 = 18 + 19x ⇒ x = 2

B invested 20000.




=+

800 4

3800 23x ⇒ 15200 + 4x = 18400

⇒ 4x = 18400 – 15200 = Rs. 3200 ⇒ x =3200

4= Rs. 800

57. (d)

Classical Approach:

Ratio of the equivalent capitals of P, Q and R for 1 year = 15000 × 12 : 18000 × 6 : 10000 × 8

= 15 × 12 : 18 × 6 : 10 × 8 = 45 : 27 : 20


If total annual profit be Rs. x,

Then P’s share =45

92x = 4500

⇒ x =4500 92

45= Rs. 9200

58. (b)

Classical Approach:

Ratio of the equivalent capitals of Tom and Harry for 1 year = 52000 × 12 : 39000 × 8

= 52 × 12 : 39 × 8 = 2 : 1


If the total annual profit be Rs. x, then

+3 1

4 3 4

x x= 20000 ⇒

2

x= 20000 ⇒ x = Rs. 40000

∴ Tom’s share = Rs. (40000 - 20000) = Rs. 20000

59. (d)

Classical Approach:

Ratio of the equivalent capitals of A, B and C

= 6500 × 6 : 8400 × 5 : 1000 × 3

= 65 × 6 : 84 × 5 : 100 × 3 = 13 : 14 : 10


B’s share =

14 7400 95

37 100 =

1474 95

37= Rs. 2660

60. (a)

Classical Approach:

A’s investment = Rs. x

According to the questions,

⇒ 12x + (x - 6000) × 8 + (x - 2000) × 5

= 142000 ⇒ 12x + 8x – 48000 + 5x – 10000

= 142000 ⇒ 25x = 142000 + 58000

⇒ 25x = 200000 ⇒ x =200000

25= Rs. 8000

∴ Ratio of the equivalent capitals of A, B and C

= 8000 × 12 : 2000 × 8 : 6000 × 5 = 96 : 16 : 30 = 48 : 8 : 15


488000

8= Rs. 48000

61. (c)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 year = 3x × 12 : 7x × 8 : 4x × 12 = 9 : 14 : 12


Use Aryan's ratio =5 2000

35 x x = 14000

62. (b)

Classical Approach:

Ratio of the equivalent capitals of A, B and C for 1 year = 6x × 12 : 11x × 8 : 12x × 8 = 9 : 11 : 12



If the total annual profit be Rs. y, then

−

12 9

32 32y = 720 ⇒

3

32

y= 720 ⇒ y =

720 32

3= Rs. 7680

63. (b)

Classical Approach:

Ratio of the equivalent capitals of A and B for 1 year

= 12 × 1200 : (12 - x) × 1500

= 48 : (12 - x) × 5 = 48 : (60 – 5x)


−

= =+ +

60 5 750 5

48 60 1950 13

x

x⇒

−=

−

12 1

108 5 13

x

x

⇒ 108 – 5x = 156 – 13x ⇒ 13x – 5x = 156 – 108


Aryan ratio = =45 4500

92 9200


Tom : Harry

52 × 12 : 39 × 8

2 : 1

harry received 25% of profit + 1

3rd of 75% of profit = 50%

of profit = 20000

So, tom received the remaining 50% of profit which is also 20000.


A : B : C

65 × 6 : 84 × 5 : 100 × 3

13 : 14 : 10

B would receive 14

37of 95% of 7400=

14 19

37 20× 7400 =

2660

www.neonclasses.com


⇒ 8x = 48 ⇒ x =48

8= 6 months

Alternatively:

A : B

Investment 4 : 5

Profit 8 : 5

Time 8

4 :

5

5

2 : 1

So, A invested for 6 months.

64. (a)

Classical Approach:

Let Mohan join the business after x months.


( )

=−

45000 12 9

3000 12 4x⇒ =

−

18 9

12 4x⇒

−

2

12 x=

1

4

⇒ 12 – x = 8 ⇒ x = 12 – 8 = 4 month

65. (c)

Classical Approach:

Let C invest in the business for x months

∴ 5600 × x = 2800 × 12 ⇒ x =12

2= 6 month

66. (d)

Classical Approach:

Period of B’s investment =8 112.5

100= 9 months

∴ Ratio of equivalent capitals of A, B and C for 1 year

= 6 × 12 : 8 × 9 : 9 × 12 = 2 : 2 : 3

B’s share = Rs. 16750

∴ C’s share = Rs.

316750

2= Rs. 25125

67. (b)

Classical Approach:

Ratio of the profit’s of A, B and C = Ratio of equivalent capitals of A, B and C for 1 year = 72000 × 12 : 60000 × 4 : 600x × 8

= 720 × 12 : 600 × 4 : 48x = 180 : 50 : x

Sum of the terms of ratio = 180 + 50 + x = 230 + x

∴ C’s share =+230

x

x× 48000

⇒ +230

x

x× 48000 = 11200 ⇒

+

30

230

x

x= 7

⇒ 30x = 1610 + 7x ⇒ 30x – 7x = 1610

⇒ 23x = 1610 ⇒ x =1610

23= 70%

68. (c)

Classical Approach:


A’s investment = Rs. x ∴ B’s investment = Rs. 2.5x

∴ x + 2.5x = Rs. 28000 ⇒ 3.5x = 28000

⇒ x =28000

3.5= Rs. 8000

∴ B’s investment = Rs. (2.5 × 8000) = Rs. 20000

∴ Ratio of equivalent capitals of A and B for 1 month

= 8000 × 3 : 20000 = 6 : 5

Annual profit = 8000 – 2500 = Rs. 5500

∴ Difference of shares = Rs. −

+

6 55500

6 5

= Rs.

15500

11= Rs. 500

69. (c)

Classical Approach:

Ratio of the shares of A, B and C = Ratio of the equivalent capitals of A, B and C for 1 month

= 4000 × 12 : 4500 × 6 : 6000 × 3

= 40 × 12 : 45 × 6 : 60 × 3 = 16 : 9 : 6


If total annual profit be Rs. x, then

B’s share = Rs. 9

31

x

∴ 9

31

x= 18000 ⇒ x =

18000 31

9 = Rs. 62000

70. (a)

Classical Approach:

Ratio of investment


B's time = 112.5% means 100 + 12.5% = 9

8

B's investment = 8, time = 9

Now,

A B C

Investment 6 8 9

Time 12 9 12

Profit 2 2 3

=2 16750

3 x

1. Range

If 2 = 16000 + something

1 = 8000 + something ⇒ 3 = 24000 + something

Options a, b, e eliminated.

2. Answer will be a multiple of 3

So, digit sum = 3, 6, 9

c) 25225, D.S. = 7 d) 25125, D.S. = 3

Answer (d)


A : B : C = 16 : 9 : 6

A + B + C = 31

total profit will be a multiple of 31. only option (c) satisfies.



A : B : C = (8000 × 12) : (12000 × 4) + (16000 × 8)

: (16000 × 9) + (12000 × 3) = 24 : 44 : 45

∴ Share of A =24

113 × 22600 = Rs. 4800

71. (b) Classical Approach:

Ratio of profit = 2 : 3 : 5 × 2

3: 7 ×

2

3 = 6 : 9 : 10 : 14

∴ Share of B =18

20× 12000 = Rs. 10800

72. (c) Classical Approach:

Share of C

= ( )

( ) ( ) ( )

+ +

15000 16

12000 24 16000 24 15000 16 = Rs. 12000


Let there investment in Ist year = 5x, 4x, 7x

Time = 1 yr,3

4yr,

1

2yr

Investment in second year = 10x, 4x, 7x

Time = 1 yr, 3

4yr,

1

2yr


∴ Share of B =6

28× 14000 = Rs. 3000


(A's profit) : (B's profit) : (C's profit)

= 600 × 12 : 500 × 4 : 5x × 8

= 180 : 50 : x According to the question,

∴ C's profit =+230

x

x× 24000

⇒ +230

x

x× 24000 = 5600 ⇒ 30x = 1610 + 7x

⇒ 23x = 1610 ⇒ x = 1610

23= 70%

75. (d) Classical Approach:

Satish : Bhavya : Abhishek

15 × 12 : 18 × (12 - x) : 24 × (12 - x)

10 : 9 : 12

⇒

= −

15 12 10

18 (12 ) 9x ⇒ 12 - x = 9 ∴ x = 3 months


From question we observe that sum of investment of A and C is equal to B for first quarter.

So, if ratio investment of B is equal to (A + C) for all quarters of year, then B's profit is 50% of total profit.

So, profit of B =125000

2 = 62500

77. (b)

Classical Approach:

Total amount invested by A + B in a year

⇒ 2500 + 7x + 7y + 13z = 9000 ...(i)

Total amount invested by B and C in a year

⇒ 2300 + 8x + 7y + 13z = 10500 ...(ii)

From Eqs. (i) and (ii), we get

⇒ 200 - x = - 1500 ⇒ x = 1700

∴ Total amount for second quarter = Rs. 17000


S B A

Investment 5 6 8

Time 12

Profit 10 9 12

Profit 60 54 72

If 10 = 60 therefore 1 = 6

9 = 54, 12 = 72

6 × 9 = 54 and 8 × 9 = 72

So, at place of time in B and A, 9 should come i.e. Both stayed for 9 months so Bhavya left 3 months before and Abhishek joined after 3 months.

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