1) (𝐱 % 𝐨𝐟 𝐲) + (𝐲 % 𝐨𝐟 𝐱) is equivalent to [GATE 2016]

𝐱𝐲
A) 𝟐 % 𝐨𝐟 𝐱𝐲 B) 𝟐 % 𝐨𝐟 ( )
𝟏𝟎𝟎
C) 𝐱𝐲 % 𝐨𝐟 𝟏𝟎𝟎 D) 𝟏𝟎𝟎 % 𝐨𝐟 𝐱𝐲

2) 𝟓% 𝒐𝒇 𝒂 = 𝒃, then 𝐛% 𝒐𝒇 𝟐𝟎 is the same as _______.

𝒂 𝒂
A) 𝟐𝟎 % 𝐨𝐟 B) 𝟓𝟎 % 𝐨𝐟
𝟐 𝟐𝟎
𝒂 𝒂
C) 𝟓𝟎 % 𝐨𝐟 D) 𝟐𝟎 % 𝐨𝐟
𝟐 𝟐𝟎

3) If 18% of a number is 720, then what is 81% of the same number?

A) 2280 B) 1620 C) 3240 D) 3160

4) A number is increased by 84, it becomes 107% of itself. What is the number?

A) 600 B) 900 C) 1500 D) 1200

5) The number of students in a class is increased by 20% and the number now becomes
66. Initially the number was
A) 45 B) 50 C) 55 D) 60

6) In marriage party 32% are women, 54% are men and there are 196 children. How many
men are there in the marriage party.
A) 756 B) 448 C) 332 D) 324

7) In a office, 40% of staff is female. 70% of the female staff and 50% of the male staff are
married. The percentage of the unmarried staff in the office is
A) 64 B) 60 C) 54 D) 42

8) A village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the
number left now is 8360, what was the original number before the flood?
A) 1000 B) 10,000 C) 1,00,000 D) 8360
9) If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to
A?
A) 10 B) 15 C) 5 D) 20

10) If 35% of A’s income is equal to 25% of B’s income, then the ratio of A’s income to B’s
income is
A) 7 : 5 B) 5 : 7 C) 4 : 7 D) 4 : 3

11) If A is 25% more than B.

a) Find A : B
b) B is what percentage less than A?

12) If A is 50% less than B, then find

a) Find A : B
b) B is what percentage more than A?

13) A’s income is 25% more than B’s income. How much per cent is B’s income less than
A’s income? [VIZAG STEEL PLANT, 2015]
A) 30% B) 25 % C) 20% D) 27.5%

14) If salary of A is 30% more than of B, then by what % is B’s salary less than that of A?

15) A candidate appearing for an examination has to secure 40% marks to pass a paper.
But he secured only 40 marks and failed by 20 marks. What are the maximum marks for
the paper? [VIZAG STEEL PLANT, 2015]
A) 100 B) 150 C) 180 D) 200

16) Rajiv spends 40% of his salary on food, 20% on house rent,10% on entertainment 10%
on conveyance. If his savings at the month end are ₹2,000, then his monthly salary is
[ESE 2017, 2 MARKS]
A) ₹6,000 B) ₹8,000 C) ₹10,000 D) ₹12,000

17) In certain season, the Indian Cricket Team had won 40% of the first 30 matches they
played. If the team wanted an overall rate of 80% find the minimum number of matches
that should be played to achieve the target? [ONGC 2014]
A) 40 B) 60 C) 50 D) 70

18) Prem invested 20% more than Mohit. Mohit invested 10% less than Raghu. If the total
sum of their investment is ₹ 17880, how much amount did Raghu invest?
[CGPSC-2014]
A) ₹5000 B) ₹6000 C) ₹7000 D) ₹8000

19) There are two candidates P and Q in an election. During the campaign, 40% of the
voters promised to vote for P, and rest for Q. However, on the day of election 15% of the
voters went back on their promise to vote for P and instead voted for Q. 25% of the voter
went back on their promise to vote for Q and instead voted for P. Suppose, P lost by 2
votes, then what was the total number for voters? [GATE 2014, 1 MARK]
A) 100 B) 10 C) 90 D) 95

20) A engineering student has to secure 25% marks to pass. He gets 47 and fails by 43
marks. What are the maximum marks of examination?
A) 385 B) 410 C) 360 D) 235

21) Ten friends planned to share equally the cost of buying a gift for their teacher. When
two of them decide not to contribute, each of the other friends had to pay ₹150 more.
The cost of the gift was ₹____ [GATE 2019]
A) 666 B) 3000 C) 6000 D) 12000

22) In a party, 60% of the invited guests are male and 40% are female. If 80% of the
invited guests attended the party and if all the invited female guests attended, what
would be the ratio of males to females among the attendees in the party?
[GATE 2018, 2 MARKS (CS)]
A) 2:3 B) 1:1 C) 3:2 D) 2:1

23) A student purchases some books for ₹1600. If he had bought 8 more books for the
same amount, each book would cost ₹10 less. The number of books the buys is
[ESE-2019, GS Paper]
A) 30 B) 32 C) 34 D) 36

24) The ratio of the number of boys and girls who participated in an examination is 4:3.
The total percentage of candidates who passed the examination is 80 and the percentage
of girls who passed is 90. The percentage of boys who passed is________.
 [GATE-2019]
A) 90.00 B) 80.50 C) 55.50 D) 72.50

25) In a country of 1400 million population, 70% own mobile phones. Among the mobile
phone owners, only 294 million access the internet. Among these Internet users, only half
buy goods from e-commerce portals. What is the percentage of these buyers in the
country? [GATE 2019]
A) 10.50 B) 14.70 C) 15.00 D) 50.00

26) The ratio of the number of boys and girls in a college is 3 : 2. If 20% of boys and 25% of
girls are adults, the percentage of those students who are not adults, is
A) 58% B) 67.5% C) 78% D) 82.5%

27) The price of sugar has increased by 20%. The percentage of reduction that a family
should effect in the use of sugar so as not increase the expenditure on this account is
A) 25% B) 30% C) 16.7% D) 15%

28) An architect is planning to increase of a rectangular room by 10% without increasing

the area of the room. By what percentage must reduce the breadth of the room?
A) 10% B) 11% C) 9.09% D) 11.11%

29) The petrol price shot up by 20% due to Iraq war. Devesh travels 2000 km every month
and his car gives a mileage of 20 km/litter. By how many kilometres should he reduce his
travel to maintain his expenditure to the previous level?
A) 300km B) 333km C) 350km D) 375km

30) Due to decrease in price per kg of sugar by 25% by how much percent a housewife
should increase quantity so that total expenditure remains same?
A) 25 B) 20 C) 33.33 D) NOTA

31) Due to decrease in the price of sugar by 20% Pooja can buy 6kg more for ₹120, then
find the original price per kg in ₹?
A) 5 B) 4 C) 3 D) 2
32) Due to increase in the price of sugar by 30% a man can buy 6 kg less for ₹520, then
find the original price per kg in ₹?
A) 21 B) 20 C) 22 D) NOTA

33) A number is increased by 10% and then it is decreased by 10%. The net change in the
number is
A) no increase or decrease B) 2% decrease
C) 1 % increase D) 1% decrease

34) A number is first increased by 10% and then it is further increased by 20%. The
original number is increased altogether by
A) 30% B) 15% C) 32% D) 36%

35) Salary of a person is first increased by 20%, then it is decreased by 20%. Percentage
change in his salary is:
A) 4% decrease B) 4% increased C) 8% decrease D) 20% increased

36) The price of an article was first increased by 10% and then again by 20%. If the last
increased price be ₹33. The original price was
A) ₹30 B) ₹27.5 C) ₹26.5 D) ₹25

37) A number is first decreased by 20%. The decreased number is then increased by 20%.
The resulting number is less than the original number by 20. Then the original number is
A) 200 B) 400 C) 500 D) 600

38) The price of an articles is first decreased by 20% and then increased by 30%. If the
resulting price is ₹ 416, the original price of the article is
A) ₹350 B) ₹405 C) ₹400 D) ₹450

39) Due to increase in the price of sugar by 20%, the consumption reduces by 30%. Then
find the percentage effect on total expenditure from it?
A) 10% decrease B) 10% increase C) 16% decrease D) 16% increase
40) Length and breadth of a rectangle are increased by 20% and 30% respectively. What
will be the percentage change in area?
A) 50 B) 10 C) 56 D) NOTA

41) If side of a square is increased by 10% then the percentage change in its area will be?
A) 21% B) 20% C) 10% D) NOTA

42) If the radius of a circle is increased by 20%, the area of the circle will be increased by
A) 30% B) 40% C) 44% D) NOTA

43) If radius is increased by 10% and height is decreased by 20% of cylinder, then find the
percentage change in volume of the cylinder?
A) 0 B) 3.2 C) 4.2 D) NOTA

44) The radius as well as the height of a circular cone increased by 10%. The percentage
increase in its volume is_______. [GATE 2019]
A) 17.1 B) 21.0 C) 33.1 D) 72.8

45) The difference of two numbers is 20% of the larger number. If the smaller number is
12, the larger one is [VIZAG STEEL PLANT, 2015]
A) 16 B) 15 C) 18 D) 20

46) In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are
unripe fruits. Of the unripe fruits, 45% are apples. Of the rip ones, 66% are oranges. If the
pile contains a total of 5692000 fruits, how many of them are apples?
[GATE-2016, 1 MARK (EC, ME)]
A) 2029198 B) 2467482 C) 2789080 D) 3577422

47) A designer uses marbles of four different colors for his designs. The cost of each
marble is the same, irrespective of the color. The table below shows the percentage of
marbles of each color used in the current design. The cost of each marble increased by
25%. Therefore, the designer decided to reduce equal numbers of marbles of each color
to keep the total cost unchanged. What is the percentage of blue marbles in the new
design? [GATE 2018, 2 MARKS (EE)]
 Blue Black Red Yellow
40% 25% 20% 15%
A) 35.75 B) 40.25 C) 43.75 D) 46.25

48) In appreciation of the social improvements completed in a town, a wealthy

philanthropist decided to gift ₹750 to each male senior citizen in the town and ₹1000 to
each female senior citizen. Altogether, there were 300 senior citizens eligible for this gift.
However, only 8/9th of the eligible men and 2/3rd of the eligible women claimed the gift.
How much money (in Rupees) did the philanthropist give away in total?
[GATE 2018, 2 MARKS (CS)]
A) 1,50,000 B) 2,00,00 C) 1,75,000 D) 1,51,000

49) Population of state X increased by x% and the population of state Y increased by y%

from 2001 to 2011. Assume that x is greater than y. Let P be the ratio of the population of
state X to state Y in a given year. The percentage increase in P from 2001 to 2011 is_____
[GATE 2019]
𝑿 𝟏𝟎𝟎(𝑿 − 𝒚) 𝟏𝟎𝟎(𝒙 − 𝒚)
A) B) 𝒙 − 𝒚 C) D)
𝒀 𝟏𝟎𝟎 + 𝒙 𝟏𝟎𝟎 + 𝒀

Answer Key:-
11) a - 5 : 4, b - 20% 12) a – 1 : 2, b - 100%

1) A 2) D 3) C 4) D 5) C 6) A 7) D 8) B 9) C
10) B 11) 12) 13) C 14) 23.07% 15) B 16) C 17) B 18) B
19) A 20) C 21) C 22) B 23) B 24) D 25) A 26) C 27) C
28) C 29) B 30) C 31) A 32) B 33) D 34) C 35) A 36) D
37) C 38) C 39) C 40) C 41) A 42) C 43) B 44) C 45) B
46) A 47) C 48) B 49) D
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