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 20th multiple of 11?
a) 5
b) 6
c) 7
d) 7.5
View Answer
Explanation: 25% of 11% of 20th multiple of 11:
20th 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”.
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