Percentage MCQs with Answers and Explanations for Competitive Exams

Question #581

In an examination, 70% passed in English and 60% passed in Maths. If 15% failed in both and 450 passed in both, find the total number of students.

A. 800

B. 1000

C. 900

D. 1100

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Failed Eng=30%, Maths=40%. Passed both = 100 - (30+40-15) = 45%. 45% = 450 → total = 1000.

This question belongs to: Maths Percentage

Question #582

Share Report

The value of a property depreciates at 10% per year. If its value after 2 years is Rs. 1,62,000, what was its original value?

A. Rs. 2,10,000

B. Rs. 1,80,000

C. Rs. 2,00,000

D. Rs. 1,90,000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Original × 0.9 × 0.9 = 162000 → Original = 162000/0.81 = 200000.

This question belongs to: Maths Percentage

Question #583

Share Report

A's salary is 20% less than B's salary. By what percent is B's salary more than A's?

A. 25%

B. 20%

C. 22.5%

D. 27.5%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Let B=100, A=80. B is (20/80)×100 = 25% more than A.

This question belongs to: Maths Percentage

Question #584

Share Report

A number is decreased by 10% and then increased by 20%. The net change is:

A. 12% increase

B. 10% increase

C. 8% increase

D. 6% increase

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
0.9 × 1.2 = 1.08, 8% increase.

This question belongs to: Maths Percentage

Question #585

Share Report

If 60% of a number is subtracted from another number, the second number reduces to 52% of itself. Find the ratio of the first to the second.

A. 5:8

B. 2:3

C. 3:4

D. 4:5

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
y - 0.6x = 0.52y → 0.48y = 0.6x → x/y = 0.48/0.6 = 4/5.

This question belongs to: Maths Percentage

Question #586

Share Report

A man spends 40% of his income on food, 30% of the remainder on rent, and saves the rest. If he saves Rs. 3780, find his income.

A. Rs. 9600

B. Rs. 9000

C. Rs. 8400

D. Rs. 8000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Food 40%, left 60%. Rent 30% of 60% = 18% of income. Total spend = 58%, save 42% = 3780 → income = 3780/0.42 = 9000.

This question belongs to: Maths Percentage

Question #587

Share Report

The population of a town is 8000. In the first year, it increases by 10% and in the second year, it decreases by 20%. What is the population at the end of the second year?

A. 7360

B. 6880

C. 7200

D. 7040

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
8000 × 1.1 × 0.8 = 7040.

This question belongs to: Maths Percentage

Question #588

Share Report

A number is added to 30% of itself and the sum is 780. Find the number.

A. 500

B. 650

C. 600

D. 550

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
x + 0.3x = 1.3x = 780 → x = 600.

This question belongs to: Maths Percentage

Question #589

Share Report

A dishonest dealer uses a scale of 90 cm instead of a metre scale and claims to sell at cost price. His gain percent is:

A. 9%

B. 11.11%

C. 10%

D. 11%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Profit = (10/90)×100 ≈ 11.11%.

This question belongs to: Maths Percentage

Question #590

Share Report

If the price of sugar rises by 25%, by what percent must consumption be reduced so that expenditure remains the same?

A. 15%

B. 20%

C. 25%

D. 18%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Reduction = (25/125)×100 = 20%.

This question belongs to: Maths Percentage

Question #591

Share Report

The difference between 60% of a number and 40% of the same number is 100. What is 30% of that number?

A. 120

B. 160

C. 150

D. 140

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
0.6x - 0.4x = 0.2x = 100 → x = 500, 30% = 150.

This question belongs to: Maths Percentage

Question #592

Share Report

A student scored 42% marks and failed by 12 marks. Another student scored 58% marks and got 20 marks more than the passing marks. Find the maximum marks.

A. 220

B. 200

C. 180

D. 160

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
0.42M + 12 = 0.58M - 20 → 32 = 0.16M → M = 200.

This question belongs to: Maths Percentage

Question #593

Share Report

A man covers a distance at a speed of 60 kmph and returns back at a speed of 40 kmph. What is his average speed for the whole journey?

A. 50 kmph

B. 52 kmph

C. 48 kmph

D. 55 kmph

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Average speed = 2×60×40/(60+40) = 4800/100 = 48 kmph. (Note: Not percentage but included as tough TSD).

This question belongs to: Maths Percentage

Question #594

Share Report

A sum of money becomes Rs. 2800 in 2 years and Rs. 3250 in 5 years at simple interest. Find the rate of interest.

A. 4%

B. 7%

C. 5%

D. 6%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
SI for 3 years = 3250 - 2800 = 450, SI per year = 150. Principal = 2800 - 2×150 = 2500. Rate = (150/2500)×100 = 6%.

This question belongs to: Maths Percentage

Question #595

Share Report

If the compound interest on a sum for 2 years at 10% per annum is Rs. 525, find the sum.

A. Rs. 2000

B. Rs. 2400

C. Rs. 2200

D. Rs. 2500

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
CI = P[(1.1)² - 1] = 0.21P = 525 → P = 2500.

This question belongs to: Maths Percentage

Question #596

Share Report

A and B together can do a piece of work in 12 days. B and C together in 15 days. C and A together in 20 days. How long will A alone take to do the work?

A. 20 days

B. 40 days

C. 60 days

D. 30 days

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
2(A+B+C) = 1/12 + 1/15 + 1/20 = (5+4+3)/60 = 12/60 = 1/5 → A+B+C = 1/10. A's work = (A+B+C) - (B+C) = 1/10 - 1/15 = (3-2)/30 = 1/30. So A takes 30 days.

This question belongs to: Maths Percentage

Question #597

Share Report

A train 150 m long crosses a pole in 10 seconds. What is its speed in kmph?

A. 36 kmph

B. 60 kmph

C. 54 kmph

D. 45 kmph

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Speed = 150/10 = 15 m/s = 15 × 18/5 = 54 kmph.

This question belongs to: Maths Percentage

Question #598

Share Report

The ratio of the ages of A and B is 5:7. After 10 years, the ratio will be 7:9. Find the present age of A.

A. 30 years

B. 20 years

C. 35 years

D. 25 years

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let ages 5x, 7x. (5x+10)/(7x+10) = 7/9 → 45x+90 = 49x+70 → 4x=20 → x=5, A=25.

This question belongs to: Maths Percentage

Question #599

Share Report

In a school, 60% are boys and 40% are girls. If 50% of the boys and 60% of the girls are absent, what percent of the total students are present?

A. 44%

B. 46%

C. 48%

D. 50%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Total = 100. Boys=60, girls=40. Absent boys=30, absent girls=24, total absent=54. Present = 46%.

This question belongs to: Maths Percentage

Question #600

Share Report

A person buys an article at 20% discount on the marked price and sells it at the marked price. What is his profit percent?

A. 25%

B. 28%

C. 20%

D. 22%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Let MP=100, CP=80, SP=100, profit% = (20/80)×100 = 25%.

This question belongs to: Maths Percentage

Percentage MCQs

Practice Questions

More Maths Topics