This set of Aptitude Questions and Answers (MCQs) focuses on “Percentage – Set 2”.
1. Find 20% of 33.33% of 14.28% of 210.
a) 2
b) 5
c) 10
d) 20
View Answer
Explanation: 14.28% of 210:
14.28% of 210 = 210 / 7 (14.28% = 1 / 7)
14.28% of 210 = 30
33.33% of 30:
33.33% of 30 = 30 / 3 (33.33% = 1 / 3)
33.33% of 30 = 10
20% of 10:
20% of 10 = 20 * 10 / 100 = 2
2. If 25% of a number is 25 more than the number, find the number.
a) 100
b) 50
c) 100 / 3
d) 25
View Answer
Explanation: Let the number be x.
25 % of x is 25 more than x (given).
25% of x:
25 * x / 100 = x / 4
x / 4 is 25 more than x.
x – x / 4 = 25
3x / 4 = 25
X = 25 * 4 / 3 = 100 / 3
3. Out of 2500 people 37% of people do not vote. Out of the rest of votes, a candidate won by securing 60% of votes. Find the number of votes scored by the loser.
a) 570
b) 630
c) 650
d) 670
View Answer
Explanation: The total number of valid votes:
100 – 37 = 67% of the total votes are valid.
67% of 2500 = 67 * 2500 / 100 = 1675
The votes scored by the losing candidate:
100 – 60 = 40%
40% of 1675 = 40 * 1675 / 100 = 670
4. Out of 80 students of a class 25 failed the test and 40 passed the test with distinction. Find the percentage difference between the students who passed and the students who got distinction.
a) 18.25%
b) 18.50%
c) 18.75%
d) 19%
View Answer
Explanation: The total students in the class = 80
Students who failed = 25
Students who passed = 80 – 25 = 55
Students who got distinction = 40
Difference between the student who passed and who got distinction is 55 – 40 = 15
Percentage of students = 15 / 80 * 100 = 18.75%
5. If out of 40 employees who are paid the same 25 got a salary hike of 20% and the other 15 got a salary cut of 30%, find the total change in company’s expenditure in relation with the salaries of these 40 employees.
a) 1.25% increased
b) 1.25% decreased
c) 1.5% increased
d) 1.5% decreased
View Answer
Explanation: Let the initial salary of the employees be 100 per employee
The initial expenditure of the company in terms of the assumption = 40 * 100 = 4,000
Increment in the salaries = 20% = 100 + 20% of 100 = 100 + 20 = 120
25 employees got a revised salary of 120 units.
Decreased salaries = 30% cut
A cut of 30% = 100 – 30% of 100 = 100 – 30 = 70
15 employees got a revised salary of 70 units.
The total of new expenditure of the company = 25 * 120 + 15 * 70 = 3000 + 1050 = 4050 units
Total change = 4050 – 4000 = 50 units increased
Percentage change = 50 / 4000 * 100 = 1.25% increased
6. Solve: for x : x = 25% of 30% of 75% of 320.
a) 72
b) 18
c) 9
d) 5
View Answer
Explanation: 75% of 320:
75% of 320 = 75 * 320 / 100 = 240
30% of 240:
30% of 240 = 30 * 240 / 100 = 72
25% of 72:
25% of 72 = 25 * 72 / 100 = 18
7. 15 times 15% of a number is 25 more than 25% of 2500. Find the number.
a) 277.77
b) 288.88
c) 299.99
d) 300
View Answer
Explanation: Let the number be x.
25% of 2500 = 25 * 2500 / 100 = 625
15 times 15% of x is 25 more than 625.
15 times of 15% of x = 625 + 25 = 650
15 times of 15% of x = 15 * 15 * x / 100 = 9x / 4
9x / 4 = 650
X = 650 / 9 * 4 = 288.88
8. 30 times of 30% of a number is 30 more than 30% of 3000. Find the number.
a) 99.99
b) 101.11
c) 103.33
d) 105.5
View Answer
Explanation: Let the number be x.
30% of 3000 = 30 * 3000 / 100 = 900
30 times 30% of x is 30 more than 900.
30 times 30% of x is 930.
30 times 30% of x = 30 * 30 * x / 100 = 9x
9x = 930
X = 930 / 9 = 103.33
9. A number 2025 is 20 more than 20% of another number. Find the ratio of the numbers.
a) 87 : 490
b) 89 : 480
c) 81 : 409
d) 82 : 407
View Answer
Explanation: 2025 is 20 more than 20% of another number.
2025 + 20 = 20% of another number
2045 is 20% of another number.
100% of the other number = 2045 * 100 / 20 = 10225
The ratio of the numbers = 2025 : 10225 = 81 : 409
10. In an office 40% of the employees are removed from the job. If the salaries of the rest of the employees are raised by 50% find the total increase or decrease in the company’s expenditure.
a) 10% increased
b) 10% decreased
c) 15% increased
d) 15% decreased
View Answer
Explanation: Let the total number of employees by 100 and the salary paid to each be 100.
Number of employees still at job:
100 – 40% of 100 = 100 – 40 = 60 employees
The increment in their salaries = 50%
100 + 50% of 100 = 100 + 50 = 150 units
The total expenditure of the company in the beginning = 100 * 100 = 10,000
The total expenditure of the company now = 60 * 150 = 9,000
The difference in initial and final expenditure of the company = 10,000 – 9,000 = 1,000
Percentage change in the company’s expenditure = 1,000 / 10,000 * 100 = 10% decreased
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