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Percentage

This document provides 54 practice questions on the topic of percentages. The questions cover a range of percentage calculation problems including finding percentages of numbers, rates of increase/decrease, original values given final values after a percentage change, and multi-step percentage word problems. The full set of practice questions is intended to help students prepare for an exam on calculating and applying percentages.

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100% found this document useful (2 votes)
9K views13 pages

Percentage

This document provides 54 practice questions on the topic of percentages. The questions cover a range of percentage calculation problems including finding percentages of numbers, rates of increase/decrease, original values given final values after a percentage change, and multi-step percentage word problems. The full set of practice questions is intended to help students prepare for an exam on calculating and applying percentages.

Uploaded by

withravi
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
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Practice questions for Percentage

==============================================================
Attempt all the questions:

1. 25% of 75% of 160 is


a. 20
c. 30

b. 25
d. none

2. Population of a town is increased from 20000 to 30000 in a year.


Find the rate of increase.
a. 30%
b. 40%
c. 50%
d. none
3. A salesman receives salary of Rs 4000 per month and 20%
commission on total sales. What is the amount of sales, if his total
earning in a month is Rs. 8200.
a. Rs. 20000
b. 21000
c. Rs. 25000
d. Rs. 24000
4. The price of an article increase from Rs. 20 to Rs. 25. Find the
increase percent?
a. 25%
b. 18%
c. 20%
d. 16%
5. If 25 students took an exam and 4 of them failed, what percent of
them are passed?
a. 80%
b. 84%
c. 85%
d. none
6. A man bought a sweater for Rs. 380 on sale at 5% off. What is the
original price of a sweater?
a. Rs. 475
b. Rs. 400
c. Rs. 450
d. Rs. 425
7. What is 10% of 20% of 30%?
a. 0.5%
b. 0.6%
c. 0.8%
d. 0.4%

8. 8 is 1 % of what number?

a. 2000
c. 3000

b. 2400
d. 2600

9. A number decreased by 25% gives 108, the number is.


a. 136
b. 144
c. 128
d. 156
10. p is 5 times as large as q, the percent that q is less than p is
a. 70%
b. 75%
c. 80%
d. 85%
11. if the average of a number, its 80% and 20% is 360, then the
number is.
a. 360
b. 400
c. 540
d. 580
12. As income is 10% more than of Bs income. Bs income is less than
As income by
a. 71/2%
b. 81/3%
c. 10%
d. 91/11%
13. Two numbers are less than a third number by 25% and 30%
respectively. How much percent is the second number less than
first?
a. 6 1

3 %

c. 6 2 %

b. 6 1 %

d. 6 3 %

14. 720 sweets were distributed equally among children in such a way
that numbers of sweets received by each child is 20% of the total
number of children. How many sweets did each children received?
a. 12
b. 14
c. 11
d. 15
15. 3 L of water is added to 15 L of alcohol water solution containing
49% alcohol strength. The strength of alcohol in new solution will
be
a. 30%
b. 33 %

c. 33 %

d. 33 %

16. A mixture of 20 L of mild and water contains 20% of water. How


much water should be added to this mixture so that the new mixture
contains 25% water?
a. 1 L
b. 1 L
c. 1 L

d. 1

1
L
5

17. A bag contain 4550 small decorative balls o different colors red,
blue, yellow and green of which 182 balls are of green color. What
percentage balls are green in color?
a. 4%
b. 124%
c. 342%
d. 24%
18. Reshma has certain number of V.C.Ds with her. She goes to the
market and buys 12% more of what she originally has. The number
of V.C.Ds Reshma has now is 56. How many V.C.Ds she had in
the beginning?
a. 55
b. 40
c. 45
d. 50
19. A number when decreased by 25% becomes 90. Find the number.
a. 150
b. 120
c. 175
d. 125
20. In a printing press 26% of the output of Machine A is equal to 45%
of the output of Machine B. if the Machine B prints 650 pages daily,
then Machine A prints how many pages daily?
a. 1125
b. 1200
c. 850
d. 925
21. Anirudh secures 85%, 70%, 65% and 60% marks in the papers with
100, 120, 140 and 160 respectively as maximum marks. The
percentage of his aggregate is..
2
%
3
1
c. 64
4

a. 65

6
%
13
1
d. 65 %
3

b. 68

22. A goldsmith can prepare gold ornaments using a certain amount of


gold daily. The price per gram of old increases by 15%. By what
percentage should the goldsmith decrease his preparation of
ornaments in order to keep his daily expenditure the same?
1
%
23
1
c. 11 %
5

a. 13

1
5

b. 12 %
d. 12

1
%
23

23. The price per Kg of sugar decreases by 20%. By what percentage


should be the consumption be increased such that the expenditure
remain the same?
a. 18%
b. 30%
c. 20%
d. 25%
24. Arun spends 35% of his salary on food, 15% on house rent, 10% on
conveyance and incurs 29% on miscellaneous expenditure. If he
still manages to save Rs. 2500 than his annual salary is
a. Rs, 150000
b. Rs. 100000
c. Rs. 200000
d. Rs. 175000
25. Sudhir has to travel from town A to town b which is certain distance
apart. 30% of the distance was travelled by car, 40% of the
remaining by bus, 50% of the remaining by train and he still has
210 km to reach town B. what is the total distance between town A
and town B?
a. 1200km
b. 1100km
c. 1000km
d. 1050 km
26. The entry fee for a musical concert was Rs. 1 later it was reduced
by 20%, which increased the net collection of amount by 40%. The
increase in the number of visitors is
a. 72

1
%
3

c. 75%

1
%
3
1
d. 76
3

b. 74

27. The daily wages of a worker is first increased by 10% and then
decreased by 15%. What is the net change in his wages..

a. 2.25% increase
c. 12.25%increase

b. 2.25% decrease
d. 12.25% decrease

28. The price of a book is first increased by 20%, the decreased by


10%. If the price of the book is now Rs. 216. What was the original
price of the book?
a. Rs 250
b. Rs 200
c. Rs 150
d. Rs 300
29. Subtracting 20% of x from x is equivalent to multiplying x by
what?
a. 100.8
b. 0.2
c. 0.8
d. 100.2
30. If the numerator of a fraction is increased by 20% and its
denominator is decreased by 20%, the value of fraction is 3/7. Find
the original fraction.
a. 1/7
b. 3/7
c. 5/7
d. 2/7
31. In measuring the sides of a rectangle, the length is taken 10%
excess and the breadth is 10% in deficit. What is the change in its
area as a percentage?
a. 4% increase
b. 4% decrease
c. 1% increase
d. 1% decrease
32. Manohar gets a salary of x, he divides his salary into two parts such
that the first part is k% of the other. What is the change in its area as
a percentage?
100 x
100 k
100 x
c.
100 k

a.

100 k
100 x
100 k
d.
100 x

b.

33. The income of Rahul is 20% more than the income of Saurav and
the income of Saurav is 25% more than the income Ajay. Find by
how much percent is the income of Rahul more the income of Ajay.
a. 50%
b. 25%
c. 75%
d. 125%

34. If the price of mangoes is decreased by 40%, one could get 32 more
mangoes for Rs 120. Find the original price of each mango.
a. Rs. 3.50
b. Rs. 2.50
c. Rs. 2.25
d. Rs. 2.00
35. The value of the machine depreciates at the rate of 20% every year.
It was purchased 3 yr ago if it present value is Rs 7680. Its purchase
price was.
a. Rs 12000
b. Rs. 15000
c. Rs. 16000
d. Rs. 18000
36. The value of the machine depreciates by 10% annually. If the
present value of the machine is Rs 44000, then what will be its
value after 2 yr?
a. Rs 35640
b. Rs. 34620
c. Rs. 36540
d. Rs. 33860
37. The population of a city increases at the rate of 5% per annum.
There is additional annual increase of 5% due to influx of job
seekers. The percent increase in population after 3 yr is
a. 33.1 %
b. 33%
c. 34%
d. 33.24%
38. A building worth Rs 926100 is constructed on land worth Rs.
685900. After how many years will the value of both be same if
land appreciate at 5% per annum and building depreciates at 55 per
annum?
a. 3yr
b. 2yr
c. 2 yr
d. 3 yr
39. The population of a town was 150000 three years ago. If it is
increased by 2%, 2.5% and 4% respectively in last 3 yr, then the
present population is.
a. 163098
b. 164049
c. 163154
d. 164145
40. A tree was planted 2 yr ago. It increases at the rate of 10% every
year. If at present the height of the tree is 242 cm what was it when
the tree was planted?
a. 198 cm
b. 200 cm
c. 204 cm
d. 196 cm

41. If the number of a fraction is increased by 150% and the


denominator is increased by 300%, the resultant fraction is

5
.
12

What was the original fraction?


2
3
3
c.
5

1
3
2
d.
5

a.

b.

42. The length of a rectangle is increased by 50%. But what percent


would the width have to be decreased to maintain the same area?
a. 33 %

1
3

b. 33%

c. 40%

d. none

43. The radius of a circle is increased by 2%. The percentage increase


in the area is.
a. 2.02%
b. 4.04%
c. 3%
d. 4%
44. For a sphere of radius 20cm. the numerical value of the surface area
is how many percent of the numerical value of its volume?
a. 10%
b. 20%
c. 30%
d. none
45. The boys and girls in a college are in the ratio of 3:2. If 25% of the
boys and 20% girls are adults, percentage of students who are minor
is.
a. 75%
b. 77%
c. 805
d. none

46. Two litres of water is evaporated form 7L of a solution containing


6% salt. The percentage of salt in the remaining solution is.
a. 8.4%
b. 8.2%
c. 8%
d. none
47. In an election between two candidates one got 65% of the total
valid votes, 20% of the votes were invalid. If the total number of

votes was 6500, the number of valid votes that the other candidate
got, was.
a. 1820
b. 1840
c. 1824
d. 1844
48. 15% of the people eligible to vote are between 18 and 25 years of
age. In an election, 75% of those eligible to vote. Who are between
18 and 25, actually voted. In that election, the number of persons
between 18 and 25, who actually voted was what percent of those
eligible to vote?
a. 12.50%
b. 10.75%
c. 11.25%
d. 10.25%
49. Two students A and B get a total of 475 marks in a test. If A get
150% of the marks B gets, how many marks did B get?
a. 190
b. 285
c. 215
d. 176
50. While purchasing one item costing Rs. 800, I had to pay the sales
ta at 6 % and on another costing Rs 4200, he sales tax was 8
%. What percent of the sales tax. I had to pay, taking the two items
together on an average?
a. 9%
b. 8%
c. 8 %
d. 9 %
51. 25 %of a mans daily output is equal to 75% of a second mans
daily output. If the second man turns out 306 articles daily, the the
first mans output in terms of making articles is
a. 916
b. 90
c. 910
d. 912

52. In an examination of certain number of questions, a student replied


24 out of 25 questions correctly, Of the remaining questions, he
answered two-fifth correctly. All the questions have the same credit.
If the student gets percentage marks, what are the total number of
questions in the examination?
a. 49
b. 45
c. 40
d. 42

53. A scored 25% marks and failed by 10 marks. B scored 70% marks
and obtained 17 marks more than those required to pass. The pass
percentage is
a. 44 %
b. 41 %
c. 42 %
d. none
54. If the price of an article is first decreased by 20% and then
increased by 20%, then the net change in the price will be.
a. 4 % decrease
b. 4 % increase
c. no change
d. none
55. The price of a book is first increased by 1-% and then decreased by
5%, then the net change in the price will be
a. 4.2 % increase
b. 4.5% increase
c. 4.2 % decrease
d. 4.5% decrease
56. A number is decreased by 25% and then increased by 25%. The
number so obtained is 8 less than the original number. What was the
original number?
a. 128
b. 144
c. 136
d. 114
57. What percent decrease by 10% and then again by 10%. By what
percent should the increased by 10%. What will be the effect on the
total revenue of the shop?
a. 10% increase
b. 12% increase
c. 12 % decrease
d. 10% decrease

58. A number is increased by 10% and again by 10%. By what percent


should the increased number be reduced so as to get back the
original number?
43
%
121
40
%
c. 17
121

a. 17

5
8
4
d. 16 %
7

b. 16 %

59. The price of an article decreased by 20% as a result of which the


sale increased by 10%. What will be the effect on the total revenue
of the shop?
a. 10% increase
b. 12% increase
c. 12% decrease
d. 10% decrease
60. The price of sugar being increased by 10%, a man reduces his
consumption by 10%. By how much percent will his expenses for
sugar be decreased?
a. 1%
b. 0.5%
c. 0.8%
d. 1.2 %
61. The price of sugar is increased by 25%. If the expenditure is not
allowed to increase, the ration between the reduction in
consumption and the original consumption is
a. 1:6
b. 1:3
c. 1:5
d. 1:4
62. As income is 20% more than Bs income. Bs income in terms of
as income is
a. 83 %
b. 83%
c. 84 %
d. 84%
63. As income is 40% more than Bs income. How much pwecent is
Bs income less than As?
2
7
4
c. 28 %
7

a. 28 %

1
3
2
d. 26 %
3

b. 26 %

64. If As height is 50% less than that of B, how much percent Bs


height is more than that of A?
a. 100%
b. 80%
c. 150%
d. 50%
65. As salary is 205 of Bs salary which is 25% of Cs salary. What
percentage of Cs salary is As earnings?
a. 8%
b. 5%
c. 6%
d. 4%

66. A earned 20% more money than B. B earned 10% less money than
C. A earned more than C by.
a. 4%
b. 8%
c. 125
d. 16%
67. Milk contains 10% water. What quantity of pure milk should be
added to 20 L of milk to reduce this to 4%.
a. 30L
b. 32 l
c. 36 L
d. 34 L
68. How much pure alcohol has to added to 600 mL of a solution
containing 15% alcohol to change the concentration of alcohol in
the mixture to 25%?
a. 44 ml
b. 50 ml
c. 52 ml
d. 46 ml
69. To a sugar solution for 6 L containing 25% sugar, two slitre of water
is added. The percentage of sugar in the new solution is
a. 16.50%
b. 1875%
c. 14.25%
d. 20.75%
70. From a container having pure milk, 10% is replaced by water and
the process is repeated thrice. At the end of the third operation, the
milk is
a. 74.2% pure
b. 70% pure
c. 72.9% pure
d. 75% pure

71. The price of oil is reduced by 5%. How many litres of oil can now
be bought for the money which was sufficient to buy 38L of oil
earlier?
a. 42.5 L
b. 42 L
c. 40L
d. 40.5L
72. A reduction of 20% in the price of salt enables a person to buy 2.4
kg more for Rs. 100. What is the reduced price per kg?
a. Rs. 8
b. Rs. 10
c. Rs. 8.50
d. Rs. 9.50

73. In an examination, 32% students failed in Mathematics and 40%


failed in English. If 22% of the students failed in both the subjects
the percentage of students who passed in both the subject was.
a. 30%
b. 40%
c.50%
d. none
74. 38% of the people read newspaper Hindu and 52% read newspaper
Times of India and 10% read both the papers. What percentage of
the people read neither newspaper?
a. 10%
b. 14%
c. 50%
d. none
75. There are 500 boys in a Hostel. Each play either cricket or carom or
both. If 70% play cricket and 40% play carom. How many play
both.
a. 30
b. 40
c. 50
d. none
76. The population of a colony was 3600 three years back. It is 4800
right now. What will be the population three years down the line, if
the rate of growth of population has been constant over the years
and has been compounding annually?
a. 6000
b. 6400
c. 7200
d. 9600

77. A person spends 40% of his salary on his educational expenses. He


spends 60% of it in purchasing books and one-half of the remaining
in purchasing stationery items. If he saves Rs. 160 every month,
which is one-fourth of the balance after spending over books and
stationery items, what is his monthly salary?
a. Rs. 800
b. Rss. 4800
c. Rs. 9600
d. data inadequate
78. In measuring the sides of a rectangular plot, one side is taken 5% in
excess and the other 6% in deficit. The error percent in area
calculated, of the plot, is..

a. 1%
c. 1.5%

b. 1.3%
d. 3%

79. In a Mathematics exam, a student scored 30% in the first paper out
of a total of 180. How much should he score in the second
paper(out of 150) if he is to get at least 50% marks overall?
a. 75%
b. 80%
c. 74%
d. 84%
80. The total tractor production in a state is 294000 out of which
150000 are made by Mahindra & Mahindra. Out of every 1000
Mahindra tractors, 98 are red in color, but only 5.3% of the total
tractor production is red. Find the percentage of non-Mahindra
tractors that are red out of total non-Mahindra tractors.
a. 0.5025%
b. 0.5130%
c. 0.6125%
d. 0.6140%

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