Quantitative Aptitude

Percentages — Practice MCQs for CCAT

20 Questions Section A: Fundamentals Quantitative Aptitude

Practice 20 Percentages multiple-choice questions designed for CDAC CCAT exam preparation. Click "Show Answer" to reveal the correct option with detailed explanation.

Q1.
If 15% of a number is 45, what is 25% of the same number?
A60
B75
C90
D100
Show Answer & Explanation

Correct Answer: B — 75

Let number be x. 15% of x = 45, so x = 300. 25% of 300 = 75.

Q2.
A student scored 60 marks out of 80. What is the percentage?
A70%
B72%
C75%
D80%
Show Answer & Explanation

Correct Answer: C — 75%

Percentage = (60/80) × 100 = 75%.

Q3.
If the price of an item increases from ₹50 to ₹60, what is the percentage increase?
A10%
B15%
C20%
D25%
Show Answer & Explanation

Correct Answer: C — 20%

Increase = 10. Percentage = (10/50) × 100 = 20%.

Q4.
A number is increased by 20% and then decreased by 20%. The net change is:
A0%
B2% decrease
C4% decrease
D4% increase
Show Answer & Explanation

Correct Answer: C — 4% decrease

Let x=100. After 20% increase: 120. After 20% decrease: 96. Net = 4% decrease.

Q5.
What is 40% of 250?
A80
B90
C100
D110
Show Answer & Explanation

Correct Answer: C — 100

40% of 250 = (40/100) × 250 = 100.

Q6.
The population of a city increased from 50,000 to 55,000. Find the percentage increase.
A5%
B8%
C10%
D12%
Show Answer & Explanation

Correct Answer: C — 10%

Increase = 5000. Percentage = (5000/50000) × 100 = 10%.

Q7.
If 60% of a number is 120, what is the number?
A180
B200
C240
D280
Show Answer & Explanation

Correct Answer: B — 200

Let number = x. 60% of x = 120. x = 120 × 100/60 = 200.

Q8.
A shirt priced at ₹500 is sold at 15% discount. Find the selling price.
A₹400
B₹425
C₹450
D₹475
Show Answer & Explanation

Correct Answer: B — ₹425

Discount = 15% of 500 = 75. SP = 500 - 75 = ₹425.

Q9.
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
A2:3
B3:4
C4:5
D5:6
Show Answer & Explanation

Correct Answer: C — 4:5

If third = 100, first = 120, second = 150. Ratio = 120:150 = 4:5.

Q10.
If A is 25% more than B, then B is what percent less than A?
A20%
B25%
C30%
D15%
Show Answer & Explanation

Correct Answer: A — 20%

If B=100, A=125. B is less by 25 from 125. (25/125)×100 = 20%.

Q11.
A number is increased by 20% and then decreased by 20%. The net change is:
A0%
B4% increase
C4% decrease
D2% decrease
Show Answer & Explanation

Correct Answer: C — 4% decrease

Let number = 100. After 20% increase = 120. After 20% decrease = 120 × 0.8 = 96. Net change = 4% decrease.

Q12.
In an election, 70% of voters voted. Winning candidate got 60% of votes cast. What % of total voters voted for winner?
A42%
B46%
C52%
D56%
Show Answer & Explanation

Correct Answer: A — 42%

70% voted, winner got 60% of 70% = 0.7 × 0.6 × 100 = 42%.

Q13.
If the price of sugar increases by 25%, by how much percent must consumption be reduced to keep expenditure same?
A20%
B25%
C30%
D15%
Show Answer & Explanation

Correct Answer: A — 20%

Reduction = (25/125) × 100 = 20%. Formula: r/(100+r) × 100.

Q14.
A student scores 60 marks out of 75. What is the percentage?
A75%
B80%
C85%
D90%
Show Answer & Explanation

Correct Answer: B — 80%

Percentage = (60/75) × 100 = 80%.

Q15.
Population of a town increases by 10% in first year and decreases by 10% in second year. Net change is:
A0%
B1% increase
C1% decrease
D2% decrease
Show Answer & Explanation

Correct Answer: C — 1% decrease

If P=100, after year 1 = 110, after year 2 = 110 × 0.9 = 99. Net = 1% decrease.

Q16.
What is 15% of 15% of 100?
A2.25
B22.5
C225
D0.225
Show Answer & Explanation

Correct Answer: A — 2.25

15% of 100 = 15. 15% of 15 = 2.25.

Q17.
If 80% of A = 50% of B, then A:B is:
A2:5
B5:8
C8:5
D5:2
Show Answer & Explanation

Correct Answer: B — 5:8

0.8A = 0.5B. A/B = 0.5/0.8 = 5/8. So A:B = 5:8.

Q18.
A salary is first increased by 25% and then decreased by 25%. The net percentage change is:
A0%
B6.25% increase
C6.25% decrease
D12.5% decrease
Show Answer & Explanation

Correct Answer: C — 6.25% decrease

Let salary = 100. After 25% increase = 125. After 25% decrease = 125 × 0.75 = 93.75. Net = 6.25% decrease.

Q19.
Ram scored 456 out of 600. Shyam scored 560 out of 800. Who scored better percentage?
ARam
BShyam
CBoth equal
DCannot determine
Show Answer & Explanation

Correct Answer: A — Ram

Ram: (456/600) × 100 = 76%. Shyam: (560/800) × 100 = 70%. Ram scored better.

Q20.
In a class, 60% are boys. If 20% of boys and 40% of girls passed, what % of total passed?
A24%
B28%
C32%
D36%
Show Answer & Explanation

Correct Answer: B — 28%

Let total = 100. Boys = 60, Girls = 40. Boys passed = 12, Girls passed = 16. Total passed = 28%.