Percentage MCQs with Answers and Explanations for Competitive Exams

Question #561

A man spends 40% of his income on food, 25% on rent, 15% on education and saves the rest. If his savings are Rs. 4500, find his income.

A. Rs. 25000

B. Rs. 27500

C. Rs. 22500

D. Rs. 20000

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Correct Answer: Option C

Explanation:
Spend % = 40+25+15 = 80%, save 20% = 4500, income = 4500/0.2 = 22500.

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Question #562

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If the radius of a circle is increased by 100%, the area increases by:

A. 200%

B. 400%

C. 500%

D. 300%

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Correct Answer: Option D

Explanation:
Area proportional to radius². New radius 2r, area 4 times, increase = 300% (i.e., 4-1 = 3 times = 300%).

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Question #563

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A's income is 25% more than B's, and B's income is 20% less than C's. What percent is A's income of C's?

A. 105%

B. 90%

C. 95%

D. 100%

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Correct Answer: Option D

Explanation:
Let C=100, B=80, A=80×1.25=100. A is 100% of C.

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Question #564

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In an exam, 40% failed in Physics, 30% in Chemistry, and 20% in both. If 250 students passed in both, the total number of students is:

A. 400

B. 500

C. 550

D. 450

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Correct Answer: Option B

Explanation:
Failed in at least one = 40+30-20=50%, passed both = 50% = 250 → total = 500.

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Question #565

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A number is increased by 50% and then decreased by 50%. The net change is:

A. No change

B. 25% increase

C. 50% decrease

D. 25% decrease

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Correct Answer: Option D

Explanation:
1.5 × 0.5 = 0.75, 25% decrease.

This question belongs to: Maths Percentage

Question #566

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The value of a machine depreciates at 20% per annum. Its present value is Rs. 51200. What was its value 2 years ago?

A. Rs. 72000

B. Rs. 80000

C. Rs. 75000

D. Rs. 85000

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Correct Answer: Option B

Explanation:
Value 2 yrs ago = 51200 / (0.8×0.8) = 51200/0.64 = 80000.

This question belongs to: Maths Percentage

Question #567

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A shopkeeper marks his goods 40% above cost price and allows a discount of 25%. Find his gain percent.

A. 4%

B. 6%

C. 3%

D. 5%

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Correct Answer: Option D

Explanation:
CP=100, MP=140, SP=140×0.75=105, gain 5%.

This question belongs to: Maths Percentage

Question #568

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A number is multiplied by 5/3 instead of 3/5. What is the percentage error?

A. 177.78%

B. 166.67%

C. 150%

D. 180%

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Correct Answer: Option A

Explanation:
Correct = 3x/5, wrong = 5x/3. Error % = [(5/3 - 3/5)/(3/5)]×100 = (16/9)×100 ≈ 177.78%.

This question belongs to: Maths Percentage

Question #569

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If 15% of x is the same as 20% of y, then x:y is:

A. 3:4

B. 3:5

C. 5:3

D. 4:3

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Correct Answer: Option D

Explanation:
0.15x = 0.2y → x/y = 0.2/0.15 = 4/3 → 4:3.

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Question #570

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The price of petrol increases by 30%. By what percent should a person reduce consumption so that expenditure increases only by 10%?

A. 16.67%

B. 18%

C. 14.5%

D. 15.38%

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Correct Answer: Option D

Explanation:
1.3 × x = 1.1 → x = 1.1/1.3 ≈ 0.84615, reduction 15.38%.

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Question #571

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In a mixture of 80 litres, the ratio of milk to water is 3:2. How much water must be added to make the ratio 1:2?

A. 60 L

B. 80 L

C. 64 L

D. 72 L

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Correct Answer: Option A

Explanation:
Milk = 48 L, water = 32 L. For milk:water = 1:2, water needed = 96 L, add 64 L? Wait, 48:96 = 1:2, so add 64 L. Option B 64 L. So answer B.

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Question #572

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A man gave 25% of his money to his wife and 40% of the remainder to his son. If he still had Rs. 4500 left, what was the total amount?

A. Rs. 12000

B. Rs. 10000

C. Rs. 8000

D. Rs. 9000

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Correct Answer: Option B

Explanation:
Wife 25%, left 75%. Son 40% of 75% = 30% of total. Left 45% = 4500 → total=10000.

This question belongs to: Maths Percentage

Question #573

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A number is increased by 10% and then the new number is decreased by 10%. If the final result is 99, find the original number.

A. 90

B. 95

C. 100

D. 105

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Correct Answer: Option C

Explanation:
1.1 × 0.9 = 0.99, 0.99x = 99 → x = 100.

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Question #574

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In an election, 25% of the voters did not vote. The winner got 50% of the total votes and won by 3000 votes. Find the total number of voters.

A. 10000

B. 11000

C. 12000

D. 8000

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Correct Answer: Option C

Explanation:
Winner got 50% of total T, loser = (75% - 50%) = 25% of T. Margin = 25% of T = 3000 → T = 12000.

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Question #575

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A man's salary was reduced by 50% and then increased by 50%. Find the net change in his salary.

A. 15% decrease

B. 25% decrease

C. 30% decrease

D. 40% decrease

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Correct Answer: Option B

Explanation:
0.5 × 1.5 = 0.75, 25% decrease.

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Question #576

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If the length of a rectangle is increased by 25% and the breadth is decreased by 20%, what is the percentage change in its perimeter?

A. No change

B. Cannot be determined

C. 5% increase

D. 2.5% increase

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Correct Answer: Option B

Explanation:
Perimeter change depends on the original values of length and breadth, so cannot be determined without them.

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Question #577

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A person spends 25% of his income on food, 20% on rent, 15% on education and saves the rest. If his savings are Rs. 7200, his income is:

A. Rs. 18000

B. Rs. 15000

C. Rs. 16000

D. Rs. 20000

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Correct Answer: Option A

Explanation:
Spend % = 25+20+15=60%, save 40% = 7200, income = 7200/0.4 = 18000.

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Question #578

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If 20% of a number is added to 60, the result is the number itself. Find the number.

A. 85

B. 75

C. 70

D. 80

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Correct Answer: Option B

Explanation:
0.2x + 60 = x → 0.8x = 60 → x = 75.

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Question #579

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A trader sells an article at 15% loss. If he had sold it for Rs. 250 more, he would have gained 10%. Find the cost price.

A. Rs. 1100

B. Rs. 800

C. Rs. 900

D. Rs. 1000

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Correct Answer: Option D

Explanation:
SP1 = 0.85CP, SP2 = 1.1CP. Difference = 0.25CP = 250 → CP = 1000.

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Question #580

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The price of an article is increased by r% and then decreased by r%. If the net decrease is 1%, find r.

A. 5

B. 8

C. 10

D. 12

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Correct Answer: Option C

Explanation:
1 - r²/10000 = 0.99 → r² = 100 → r = 10.

This question belongs to: Maths Percentage

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