15 july business mathematics

8/14/2019 15 July Business Mathematics

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www.afterschoool.tk AFTERSCHOOOL MATERIAL FO

Business Mathematics

AFTERSCHOOOL DEVELOPING CHANGEMAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP

PGPSE PROGRAMME

World Most Comprehensive programme in socialentrepreneurship / spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


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Business MathematicsDr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk
http://www.afterschool.tk/http://www.afterschoool.tk/http://www.afterschoool.tk/http://www.afterschool.tk/


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I borrow Rs. 100000 for 20 years. I

agree to pay interest @ 12% on

outstanding balance. Find out myEMI.

EMI = Equal Monthly InstalmentAnnuity / EMI factor = [(1+i)^n -1]

/(i(1+i)^n)EMI = loan to be paid / Annuity or EMI

factor=[(1.01)^240 -1] / (.01(1.01)^240)=90.81

EMI = 100000/90.81 = 1101 APPROX.


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I BORROW RS. 100000 FOR 20

YEARS. I HAVE TO PAY INTEREST

@16% ON OUTSTANDING BALANCE.CALCULATE MY INSTALMENTS, IF I

HAVE TO PAY EVERY SIX MONTHS?

Annuity factor = [(1+i)^n -1]/(i(1+i)^n)

=((1.08)^40 - 1) /(.08(1.08)^40)

=11.92

=100000/11.92 = 8386 APPROX.


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How much amount should I

accumulate every year so that I have

Rs. 500000 at the end of 5 years? R =

20%Future value of annuity factor = ((1+i)^n

-1)/ I

=((1.2)^5 -1)/ .2= 7.44

Now divide 500000 by 7.44

500000/7.44

=67204 approx. answer.


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Rishabh wants to buy a Bentley car

in 2018. Estimated price at that time

will be Rs. 2 crore. How muchamount should Rishabh save every

month so that he has that money? R

= 12%

I = 12/12 = 1% or .01 N = 10*12 =120

=((1.01)^120 -1)/ .01

=230Dividing 2 crores by 230, we get:

86942 approx.


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I am a lessor. Gautam comes to me

to take a car on lease for 5 years.

The cost of car is 7 lakh and Gautamagrees to give me annual instalment

of Rs. 200000. Interest rate is 15%.

Should I lease the car?

Annuity factor = [(1+i)^n -1]/(i(1+i)^n) PV of Annuity factor = ((1.15)^5-

1)/(.15*(1.15)^5) =3.352 =200000*3.352 =670400 Thus I will loose Rs. 29600 on this

transaction, so I should not lease the car.


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I can buy Machine A or B. A costs

Rs. 1 Crore but B costs Rs. 2 Crores.

A machine saves Rs. 30 Lakh perannum for next 14 years, B saves Rs.

50 lakh per annum for next 20 years.

R = 20% per annum. Which machine

should I buy? PV of annuity = ((1.2)^14-1)/(.2(1.2)^14) =4.610 multiply it to 30 lakh, we get 1.38 crores PV of annuity B = ((1.2)^20-1)/(.2(1.2)^20) = 4.87 Thus from B we will get 2.43 crores. Thus profit is more in B, but % returns are better

in project A.


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ABOUT A FTERSCH OOOLAfterschoool conducts three year integrated PGPSE (after

class 12th along with IAS / CA / CS) and 18 month PGPSE

(Post Graduate Programme in Social Entrepreneurship)

along with preparation forCS / CFP / CFA /CMA / FRM. This

course is also available online also. It also conductsworkshops on social entrepreneurship in schools and

colleges all over India start social entrepreneurship club in

your institution today with the help from afterschoool and help

us in developing society.


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Why such a programme? To promote people to take up entrepreneurship

and help develop the society

To enable people to take up franchising andother such options to start a business / social

development project

To enable people to take up social

development as their mission To enable people to promote spirituality and

positive thinking in the world


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Who are our supporters?Afterschoolians, our past beneficiaries,

entrepreneurs and social entrepreneurs

are supporting us.You can also support us not

necessarily by money but by being

promotor of our concept and our ideas.


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About AFTERSCHOOOL PGPSE the best

programme for developing great entrepreneurs

Most flexible, adaptive but rigorous programme

Available in distance learning mode

Case study focused- latest cases Industry oriented practical curriculum

Designed to make you entrepreneurs not just

an employee

Option to take up part time job so earn while

you learn

The only absolutely free course on internet


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Workshops from

AFTERSCHOOOL IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management,

Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad


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Flexible Specialisations: Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care

Hospitality sector and culture and heritage Other sectors of high growth, high technology and social

relevance


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Salient features: The only programme of its kind (in the whole world) No publicity and low profile course For those who want to achieve success in life not just a

degree

Indepth knowledge and expertise Professional approac: World class approach Strong intellectual and business capabilities Flexible you may stay for a month and continue the rest of

the education by distance mode. / you may attend weekendclasses

Scholarships for those from poor economic background Latest and constantly changing curriculum keeping pace

with the time Placement for those who are interested Admissions open throughout the year

Latest and most advanced technologies, books and studymaterial


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Components Pedagogy curriculum and approach based on IIM Ahmedabad and ISB

Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters

Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)


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Pedagogy

Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games,

Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment

Mentoring and counselling Study exchange programme (with institutions out of India) Rural development / Social welfare projects


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Branches

AFTERSCHOOOL will shortly open itsbranches in important cities in Indiaincluding Delhi, Kota, Mumbai, Gurgaonand other important cities.Afterschooolians will be responsible formanaging and developing these

branches and for promoting socialentrepreneurs.


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Case Studies

We want to write case studies on social

entrepreneurs, first generation

entrepreneurs, ethical entrepreneurs.Please help us in this process. Help us

to be in touch with entrepreneurs, so that

we may develop entrepreneurs.


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Basic values at afterschoool

Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support

and help Ask fundamental questions : why, when, how

& where? Embrace change and compete with yourself

only


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www.afterschoool.tk

social entrepreneurship for better

society
http://www.afterschoool.tk/http://www.afterschoool.tk/

15 july business mathematics

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