This set of Aptitude Questions and Answers (MCQs) focuses on “Percentage”. These questions are beneficial for various competitive exams, placement interviews, and entrance tests.

1. 20% of a number is 12 find 35% of the same number.

a) 21

b) 18

c) 19

d) 17

View Answer

Explanation: Let the number be x.

20% of the number is 12.

20 * x / 100 = 12

x / 5 = 12

x = 12 * 5 = 60

35% of 60 = 35 * 60 / 100 = 21

2. 30% of a number is 21. What percent of the number is 49?

a) 50%

b) 65%

c) 70%

d) 72%

View Answer

Explanation: Let the number be x.

30% of x = 21

30 * x / 100 = 21

3x / 10 = 21

X = 21 / 3 * 10 = 70

What percent of 70 is 49 or 49 is what percent of 70:

49 / 70 * 100 = 4900 / 70 = 70%

3. Find 112% of a number if 20% of the number is 120.

a) 652

b) 672

c) 692

d) 662

View Answer

Explanation: Let the number be x.

20% of a number = 120

20% of x = 120

20 * x / 100 = 120

x / 5 = 120

x = 120 * 5 = 600

112% of the number:

112 % of 600 =

112 * 600 / 100 = 112 * 6 = 672

4. A is 25% more than b. By what percent is b smaller than a?

a) 13.33%

b) 20%

c) 22%

d) 30%

View Answer

Explanation: A is 25% more than b

A = b + 25% of b

A = b + b / 4

A = 5b / 4

Percentage by which b is smaller than a:

A = 5b / 4

Difference between a and b = 5b / 4 – b = b / 4

Percentage = (b / 4) / (5b / 4) * 100

4b / 20b * 100

100 / 5 = 20%

5. A is 25% of a number b, b is 50% of a number c and c is 120% of 25. Find the value of a.

a) 2.5

b) 2.75

c) 3.5

d) 3.75

View Answer

Explanation: The value of c = 120% of 25

120% of 25 = 120 * 25 / 100

120 * 25 / 100 = 30

C = 30

B is 50% of c

50% of c = 50% of 30:

50 * 30 / 100 = 15

B = 15

A is 25% of b

25 * 15 / 100

15 / 4 = 3.75

6. 40% of a number a is 50% of a number b, find the value of a : b.

a) 2 : 3

b) 1 : 4

c) 1 : 5

d) 3 : 5

View Answer

Explanation: 40% of a = 50% of b

The value of a in terms of b:

40% of a = 40 * a / 100 = 2 / 5a

50% of b = 50 * b / 100 = 1 / 2b

2 / 5a = 1 / 2b

a / b = (1 / 2) / (2 / 5)

a / b = 1 * 2 / 2 * 5 = 2 / 10 = 1 : 5

7. If the weight of a person increases at a pace of 20% per month, find his weight after 2 months in terms of his weight now.

a) 1.25 times

b) 1.4 times

c) 1.44 times

d) 1.5 times

View Answer

Explanation: Let the weight of that person now be x.

Rate at which the age of increase = 20% per month

Weight after 1 month = x + 20% of x = x + 20 * x / 100 = x + 1 / 5x = 6x / 5

Weight after 2 months = 6x / 5 + 20% of 6x / 5

6x / 5 + (20 * 6x) / (5 * 100)

6x / 5 + 120x / 500

6x / 5 + 6x / 25 = 36x / 25

36x / 25 = 36 / 25 times of his initial age 1.44 times.

8. 105% of a number is x. Find 42% of the number in terms of x.

a) 2x / 10

b) 2x / 3

c) x / 11

d) 2x / 5

View Answer

Explanation: 105% of the number is x.

100% of the number = x / 105 * 100 = 20x / 21

The number = 20x / 21

42% of the number = 42 * (20x / 21) / 100

42% od the number = (42 * 20) x / (21 * 100)

840x / 2100

2x / 5

9. If 33.33% of a number is 20 more than 16.66% of the number, find 120% of the number.

a) 121

b) 139

c) 144

d) 169

View Answer

Explanation: Let the number be x.

33.33% of a number = x / 3 of the number

16.66% of the number = x / 6 of the number

x / 3 – x / 6 of the number = 20

(2x – x)6 = 20

x / 6 = 20

x = 20 * 6 = 120

120% of the number x:

120% of 120

120 * 120 / 100

14400 / 100 = 144

10. 10 times of a number a is 20% more than another number b. Find the value of a : b.

a) 3 : 25

b) 4 : 25

c) 6 : 25

d) 7 : 25

View Answer

Explanation: 10 times of the number a is 10a.

10a is b + 20% of b

B + 20% of b:

B + 20 * b / 100

B + b / 5

5b + b / 5

6b / 5

10a = 6b / 5

10a * 5 = 6b

50a = 6b

a / b = 6 / 50

a : b = 3 : 25

11. Find 20% of 33.33% of 60% of 900.

a) 36

b) 37

c) 38

d) 39

View Answer

Explanation: 33.33% of the number:

33.33% of 900

(1 / 3) * 900

900 / 3 = 300

60 * of 300

= 60 * 300 / 100

= 60 * 3

= 180

20% of 180

= 20 * 180 / 100

= 36

12. 20% of a number is 16.66% of another number find the ratio of both the numbers.

a) 5 : 4

b) 6 : 5

c) 7 : 6

d) 8 : 7

View Answer

Explanation: Let the first number be x and the second number be y.

20% of x = 16.66% of y

1 / 5x = 1 / 6y

x / y = (1 / 6) / (1 / 5)

x / y = 6 / 5

x : y = 6 : 5

13. Find the number if, 20% of a number is 20 more than 20% of another number 20.

a) 100

b) 110

c) 120

d) 125

View Answer

Explanation: Let the first number be x.

20% of x is 20 more than 20 % of another number 20 (given).

20% of x = 20 * x / 100 = x / 5

20% of another number 20 = 20 * 20 / 100 = 4

x / 5 is 20 more than 20% of another number = x / 5 is 20 more than 4.

x / 5 = 20 + 4

x / 5 = 24

x = 24 * 5 = 120

14. 40% of a number is 40 more than 40% of another number, 40. Find the number.

a) 120

b) 135

c) 149

d) 140

View Answer

Explanation: Let the number be x.

40% of x is 40 more than 40% of another number 40.

40% of 4another number 40:

40 * 40 / 100 = 16

40% of x:

40 * x / 100 = 2x / 5

2x / 5 is 40 more than 16.

2x / 5 = 40 + 16

2x / 5 = 56

X = 56 * 5 / 2

28 * 5 = 140

15. What is the half of 25% of 11% of 20^{th} multiple of 11?

a) 5

b) 6

c) 7

d) 7.5

View Answer

Explanation: 25% of 11% of 20

^{th}multiple of 11:

20

^{th}multiple of 11 = 20 * 11 = 220

11% of 220 = 11 * 220 / 100

11% of 220 = 24.2

25% of 24.2 = 25 * 24.2 / 100 = 24.2 / 4

25% of 24.2 = 6.05 ≈ 6

16. Find 20% of 25% of 10% of 5% of 50% of 15% of 3000.

a) 0.0515

b) 0.515

c) 5.15

d) 51.5

View Answer

Explanation: 15% of 3000:

15 * 3000 / 100 = 450

50% of 450:

50 * 450 / 100 = 225

5% of 225:

5 * 225 / 100 = 10.25

10% of 10.25:

10 * 10.25 / 100 = 1.025

25% of 1.025:

25 * 1.025 / 100 = 0.25625

20% of 0.25625:

20 * 0.25625 / 100 = 0.0515

17. A shopkeeper increases the price of sugar by 25%. By how much a family should decrease their consumption to maintain the regular price?

a) 25% increase

b) 25% decrease

c) 20% increase

d) 20% decrease

View Answer

Explanation: Let the price of sugar be 100 and the consumption of the family be 100.

The initial amount spends by the family = 100 * 100 = 10,000

The amount stays the same but the price of sugar increases by 25%.

Price of the sugar now = 100 + 25% of 100 = 125

Consumption of the family now = amount / price of sugar

10,000 / 125 = 80

Change in consumption of the family = 100 – 80 = 20units

20 / 100 * 100 = 20% decrease

18. The final value after a number was made 25% of itself thrice is 31, find the number.

a) 1982

b) 1984

c) 1986

d) 1988

View Answer

Explanation: Let the number be x.

25% of x = 25 * x / 100 = x / 4

25% of x / 4 = 25 * (x / 4) / 100 = x / 16

25% of x / 16 = 25 * (x / 16) / 100 = x / 64

x / 64 is given as 31.

x = 31 * 64 = 1984

19. Solve for x; x = 20% of 12% of 120% of 6250.

a) 270

b) 225

c) 200

d) 180

View Answer

Explanation: x = 20% of 12% of 120% of 6250.

120% of 6250:

120% of 6250 = 120 * 6250 / 100 = 625 * 12 = 7500

12% of 7500:

12 % of 7500 = 12 * 7500 / 100 = 12 * 75 = 900

20% of 900:

20% of 900 = 20 * 900 / 100 = 20 * 9 = 180

20. What is 12% more than 20% less than 40% of 250?

a) 87

b) 88.8

c) 89.6

d) 90

View Answer

Explanation: 40% of 250:

40% of 250 = 40 * 250 / 100 = 100

20% less than 100:

100 – 20% of 100

= 100 – 20 * 100 / 100

= 100 – 20 = 80

12 more than 80

= 80 + 12% of 80

= 80 + 12 * 80 / 100

= 80 + 9.6

= 89.6

**More Aptitude Questions and Answers on Percentage:**

- Percentage Questions (Set 2)
- Percentage Questions (Set 3)
- Percentage Questions (Set 4)
- Percentage Questions (Set 5)
- Percentage Questions (Set 6)

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.