Apttrix eClasses in association with Qmaths brings
Formula Free Maths Crash Coursefor SSC CGL Tier-1
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By Ravi Mohan Mishra (RaMo), CAT 99.99%iler
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Percentages
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
1) If a is 80% of b, what % of a is b?
A) 75%
B) 80%
C) 100%
D) 125%
2) If 40% of (A+B) = 60% of (A-B) then 2𝐴−3𝐵
𝐴+𝐵
is
A) 7
6
B) 6
7
C) 5
6
D) 6
5
3) 5% of a = b, then b% of 20 is the same
as____________
A) 20% of a/2
B) 50% of a/20
C) 50% of a/2 D) 20% of a/20
4) If food prices go up by 10%, by how much should a man reduced his consumption so as not to increase his expenditure?
A) 91
11%
B) 10%
C) 92
11%
D) Data insufficient
5) A reduction of 21% in the price of an item
enables a person to buy 3 kg more for 100. The reduced price of item per kg is:
A) Rs. 5.50 B) Rs. 7.50 C) Rs. 10.50 D) Rs. 7.00
6) A reduction in the price of apples enables a person to purchase 3 apples for Rs. 1 instead
of Rs. 1.25. What is the % of reduction in price (approximately)?
A) 20% B) 25%
C) 30%
D) 331
3%
7) If the income tax is increased by 19%, the
net income is reduced by 6%. The rate of income tax is:
A) 24% B) 20% C) 25% D) 10%
8) The price of entry ticket of Mughal Garden in
Delhi is of Rs. 210. If the price of ticket is
decreased, the sale of ticket increased by
25% and the collections recorded at
decrease of 12.5%. Find the deduction in the
ticket price (in Rs.).
A) 42
B) 50
C) 63
D) None of these
9) The value of a property depreciates every
year by 10% of its value at the beginning of
the year. The present value of the property
is Rs. 8100. What was its value 2 years ago?
A) Rs. 10,000
B) Rs. (90
100)2 x 8100
C) Rs. (100
110)2 x 8100
D) Rs. 9801
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
10) The price of an article was increased by r%.
Later the new price was decreased by r%. If
the latest price was Rs.1, then the original
price was:
A) Rs. 1
B) Rs. 1−𝑟2
100
C) Rs. √1−𝑟2
100
D) Rs. (10000
10000−𝑟2)
11) The pressure of a definite mass of a gas is
directly proportional to the temperature and inversely proportional to the volume under the given conditions. If temperature is increased by 40% and the volume is decreased by 20% then the new pressure will
A) Increased by 75% B) Reduce to 25% C) Increased by 20% D) Increased by 28%
12) From 1990 onwards till 1993 the price of
scooters increased every year by 10%. After
1993 the price of scooter decreased every
year by 10% due to government subsidy.
Price of scooter in 1996 is approximately
how much percent more/less than price in
1990. If the same pattern of price is
continued.
A) 3% more
B) 3% less
C) 4% less
D) 4% more
13) The red blood cells in a blood sample grows
by 10% per hour in first two hours,
decreases by 10% in next one hour, remains
constant in next one hour and again
increases by 5% per hour in next two hours.
If the original count of the red blood cells in
the sample is 40000, find the approximate
red blood cell count at the end of 6 hours.
A) 40000
B) 45025
C) 48025
D) 50025
14) The owner of an art shop conducts his
business in the following manner: Every
once in a while he raises his prices by X%,
then a while later he reduces all the new
prices by X%. After one such up-down cycle,
the price of a painting decreased by Rs. 441.
After a second up-down cycle the painting
was sold for Rs. 1944.81. What was the
original price of the painting?
A) Rs 2,756.25
B) Rs 2,256.25
C) Rs 2,500
D) Rs 2,000
15) The annual production in cement industry is
subject to business cycles. The production
increases for two consecutive years
consistently by 18% and decreases by 12%
in the third year. Again in the next two years,
it increases by 18% each year and decreases
by 12% in the third year. Talking 2008 as the
base year, what will be the approximate
effect on cement production in 2012?
A) 24% increase
B) 37% decrease
C) 45% increase
D) 60% decrease
16) At the end of year 2012, Shepherd bought
nine dozen goats. Henceforth, every year he
added p% of the goats at the beginning of the
year and sold q% of the goats at the end of
the year where p>0 and q>0. If shepherd
had nine dozen goats at the end of year 2016,
after making the sales for that year, which of
the following is true?
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
A) p=q
B) p<q
C) p>q D) p=q/2
17) A spider climbed 621
2% of the height of the
pole in one hour and in the next hour it
covered 121
2% of the remaining height. If
pole’s height is 192m, then distance climbed
in second hour is
A) 3 m
B) 5 m
C) 7 m D) 9 m
18) A factory’s yearly budget for the purchase of
employees’ protection shoes increased by
60% this year over last year. If the price of
the shoes increased by 20% this year, then
the number of shoes it can purchase this
year is what percent greater than the
number of shoes it purchased last year?
A) 40%
B) 331
3%
C) 42%
D) 48%
19) The rate of increase of the price of sugar is
observed to be two percent more than the
inflation rate expressed in percentage. The
price of sugar, on January 1, 1994, is Rs. 20
per kg. The inflation rate for the years 1994
and 1995 are expected to be 8% each. The
expected price of sugar on January 1, 1996
would be
A) Rs.23.60
B) Rs.24.00
C) Rs.24.20
D) Rs.24.60
20) The average salary of male employees in a
firm was Rs. 5200 and that of female was Rs.
4200. The mean salary of the employees was
Rs. 5000. What is the percentage of female
employees?
A) 80%
B) 20%
C) 40%
D) 30%
21) A sample of 50 litres of glycerine is found to
be adulterated to the extent of 20%. How
much pure glycerine should be added to it so
as to bring down the percentage of impurity
to 5%?
A) 155 litres
B) 150 litres
C) 150.4 litres D) 149 litres
22) Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kgs of fresh fruits?
A) 32 kgs B) 40 kgs C) 52 kgs
D) 80 kgs
23) A college has raised 75% of the amount it
needs for a new building by receiving an
average donation of Rs. 600 from the people
already solicited. The people already
solicited represent 60% of the people the
college will ask for donations. If the college
is to raise exactly the amount needed for the
new building, what should be the average
donation from the remaining people to be
solicited?
A) Rs 300
B) Rs 250
C) Rs 400
D) Rs 500
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
24) One bacteria splits into eight bacteria of the
next generation, But due to environment,
only 50% of one generation can produce the
next generation. If the seventh generation
number is 4096 million, what is the number
of bacteria in first generation?
A) 1 million
B) 2 million
C) 4 million
D) 8 million
25) A man divides a number by 6 instead of
multiplying it by 6. Find the % error in the
result.
A) 97%
B) 972
9%
C) 978
9%
D) 962
9%
26) RaMo increases his speed by 25% and
therefore he reaches his office 15 min early.
Find original time taken to reach his office.
A) 45 min
B) 60 min
C) 75 min D) 90 min
27) In an examination, a student who gets 20%
of the maximum marks fails by 5 marks.
Another student who scores 30% of the
maximum marks gets 20 marks more than
the pass marks. The necessary percentage
required for passing is:
A) 32%
B) 23%
C) 22%
D) 20%
28) In an examination, Kunal obtained 20%
more than Sushant but 10% less than
Rajesh. If the marks obtained by Sushant is
1080. Find the percentage marks obtained
by Rajesh if the full marks are 2000.
A) 86.86%
B) 72%
C) 78.33%
D) 77.77%
29) In a factory 60% of the workers are above 30
years and of these 75% are males and the
rest are females. If there are 1350 male
workers above 30 years, the total number of
workers in the factory is
A) 3000
B) 2000
C) 1800 D) 1500
30) 8% of the voters in an election did not cast
their votes. In this election, there were only
two candidates. The winner by obtaining
48% of the total votes defeated his
contestant by 1100 votes. The total number
of voters in the election was:
A) 21000
B) 23500
C) 22000
D) 27500
31) A man invests a part of Rs. 10,000 at 5% and
the remainder at 6%. The 5% investment
yields annually Rs. 76.50 more than the 6%
investment. The amount invested at 6% is
A) Rs. 3600
B) Rs. 3550
C) Rs. 3850 D) Rs. 4000
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
32) The number of votes not cast for the Praja
Party increased by 25% in the National General Election over those not cast for it in
the previous Assembly Polls, and the Praja
Party lost by a majority twice as large as that
by which it had won the Assembly Polls. If a
total 2,60,000 people voted each time, how
many voted for the Praja Party in the previous
Assembly Polls?
A) 1,10,000
B) 1,50,000
C) 1,40,000
D) 1,20,000
33) Rakesh adds 12% of his salary in PPF. 3/8 of
the remaining salary is spent in clothes.
Difference between PPF and clothes
expenses is Rs 10500. Remaining amount is
spent on house rent and other expenses. If
house rent expenses is Rs 1500 less than
expenses in other expenses, then what is the
house rent expense?
A) 17000
B) 10000
C) 13000
D) None of these
34) The annual salary of Arun is 7.68 lac. If he
spends Rs. 12000 on his children, 1/13th of
rest of the salary on food and Rs. 8000 in
mutual funds, then find the monthly saving
he is left with.
A) Rs. 38000
B) Rs. 39500
C) Rs. 40000
D) Rs. 41250
Direction for 35 & 36
Anjali’s expense out of her total expenditure
in a trip is in between travel expenses,
Accommodation expenses and shopping
expenses are in the ratio of 5 : 4 : 3. Out of
the travel expenses he spent 25% on bus
ticket, 60% on air tickets and remaining
travel expenses are saved. All of the
accommodation expenses are spent on
hotels. And out of the total expenses on
shopping expenses 50% spent on tax free
products, 472
9% spent on footpath shopping
and remaining saved. The total amount
saved is 17500.
35) From the above information, what is the
total amount on accommodation expense?
A) Rs. 75,000
B) Rs. 84,000
C) Rs. 90,000
D) Rs. 95,000
36) Anjali’s total amount on the trip is
A) Rs. 242000
B) Rs. 252000
C) Rs. 262000
D) Rs. 275000
37) In a village, each of the 60% of families has a
cow: each of the 30% of families has a
buffalo and each of the 15% of families has
both a cow and buffalo. In all there are 96
families in the village. How many families do
not have a cow or a buffalo?
A) 20
B) 24
C) 26
D) 28
38) In a stockpile of products produced by three
machines M1, M2 and M3, 40% and 30%
were manufactured by M1 and M2
respectively. 3% of the products of M1 are
defective, 1% of products of M2 defective,
while 95% of the products of M3 are not
defective. What is the percentage of
defective in the stockpile?
A) 3%
B) 5%
C) 2.5%
D) 4%
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oApttrix eClasses in Association with Qmaths for SSC CGL Maths Tier-1 Free Crash Course
Percentages
39) In a survey of political preferences, 78% of
those asked were in favour of at least one of
the proposals: I, II and III. 50% of those
asked favoured proposal I, 30% favoured
proposal II and 20% favoured proposal III. If
5% of those asked favoured all three of the
proposals, what percentage of those asked
favoured more than one of the three
proposals?
A) 10
B) 12
C) 17
D) 22
40) In a group of 140 people, 70 like apples, 70
like oranges and 110 like banana. Of these
35 like both apples and oranges, 45 like
both oranges and banana and 55 like both
banana and apples. If each of the people like
at least one of the fruits, then how many of
these like all the three fruits?
A) 15
B) 20
C) 25
D) 30
Answers keys :-
1 D 11 A 21 B 31 C 2 A 12 B 22 B 32 C 3 D 13 C 23 A 33 C 4 A 14 C 24 A 34 C 5 D 15 C 25 B 35 B 6 A 16 C 26 C 36 B 7 A 17 D 27 C 37 B 8 C 18 B 28 B 38 A 9 A 19 C 29 A 39 C
10 D 20 B 30 D 40 C
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