Percentage MCQs with Answers and Explanations for Competitive Exams

Question #81

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A student divided a number by 2 instead of multiplying it by 2. What is the percentage error?

A. 75%

B. 60%

C. 50%

D. 100%

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Correct Answer: Option A

Explanation:
True value = 2x. False value = x/2 = 0.5x. Error = 1.5x. % Error = (1.5 / 2) * 100 = 75%.

This question belongs to: Maths Percentage

Question #82

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

A. 100%

B. 150%

C. 64%

D. 177.77%

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Correct Answer: Option D

Explanation:
True = 3/5x. False = 5/3x. Error = (5/3 - 3/5)x = (16/15)x. % Error = ((16/15) / (3/5)) * 100 = (16/9) * 100 = 177.77%.

This question belongs to: Maths Percentage

Question #83

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A student multiplied a number by 2/3 instead of 3/2. What is the percentage error?

A. 50%

B. 55.55%

C. 44.44%

D. 66.66%

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Correct Answer: Option B

Explanation:
True = 3/2x. False = 2/3x. Error = (3/2 - 2/3)x = (5/6)x. % Error = ((5/6) / (3/2)) * 100 = (10/18) * 100 = 55.55%.

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Question #84

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A person measured a line as 5.05 cm instead of its true length of 5.00 cm. What is the percentage error?

A. 0.5%

B. 1%

C. 2%

D. 1.5%

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Correct Answer: Option B

Explanation:
Error = 5.05 - 5.00 = 0.05. % Error = (0.05 / 5.00) * 100 = 1%.

This question belongs to: Maths Percentage

Question #85

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A weight is measured as 9.8 kg instead of 10 kg. What is the percentage error?

A. 1%

B. 2%

C. 4%

D. 3%

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Correct Answer: Option B

Explanation:
Error = 10 - 9.8 = 0.2. % Error = (0.2 / 10) * 100 = 2%.

This question belongs to: Maths Percentage

Question #86

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A student divided a number by 10 instead of multiplying it by 10. What is the percentage error?

A. 99%

B. 100%

C. 90%

D. 95%

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Correct Answer: Option A

Explanation:
True = 10x. False = 0.1x. Error = 9.9x. % Error = (9.9 / 10) * 100 = 99%.

This question belongs to: Maths Percentage

Question #87

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A student multiplied a number by 7/4 instead of 4/7. What is the percentage error?

A. 100%

B. 150%

C. 200%

D. 206.25%

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Correct Answer: Option D

Explanation:
True = 4/7x. False = 7/4x. Error = (7/4 - 4/7)x = (33/28)x. % Error = ((33/28) / (4/7)) * 100 = (33/16) * 100 = 206.25%.

This question belongs to: Maths Percentage

Question #88

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A student multiplied a number by 3/4 instead of 4/3. What is the percentage error?

A. 43.75%

B. 50%

C. 45%

D. 40%

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Correct Answer: Option A

Explanation:
True = 4/3x. False = 3/4x. Error = (4/3 - 3/4)x = (7/12)x. % Error = ((7/12) / (4/3)) * 100 = (21/48) * 100 = 43.75%.

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Question #89

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A man spends 70% of his income. If he saves Rs. 3000, what is his total income?

A. 10000

B. 8000

C. 12000

D. 9000

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Correct Answer: Option A

Explanation:
Savings = 100% - 70% = 30%. 30% of Income = 3000. Income = 3000 * (100 / 30) = 10000.

This question belongs to: Maths Percentage

Question #90

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A person spends 80% of his income and saves Rs. 1500. Find his income.

A. 7000

B. 8000

C. 7500

D. 6000

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Correct Answer: Option C

Explanation:
Savings = 20%. 20% of Income = 1500. Income = 1500 * 5 = 7500.

This question belongs to: Maths Percentage

Question #91

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A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. What is the percentage increase in his savings?

A. 25%

B. 40%

C. 30%

D. 50%

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Correct Answer: Option D

Explanation:
Let original income = 100. Exp = 75. Savings = 25. New income = 120. New Exp = 75 + (10% of 75) = 82.5. New Savings = 120 - 82.5 = 37.5. Increase = 12.5. % Increase = (12.5 / 25) * 100 = 50%.

This question belongs to: Maths Percentage

Question #92

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A man spends 80% of his income. His income increases by 30% and his expenditure increases by 20%. What is the percentage increase in his savings?

A. 80%

B. 50%

C. 60%

D. 70%

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Correct Answer: Option D

Explanation:
Let income = 100. Exp = 80. Sav = 20. New income = 130. New Exp = 80 * 1.2 = 96. New Sav = 130 - 96 = 34. Increase = 14. % Increase = (14 / 20) * 100 = 70%.

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Question #93

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A man's monthly salary is Rs. 20000. He spends 20% on rent and 30% of the remaining on food. How much does he save?

A. 11200

B. 10000

C. 14000

D. 12000

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Correct Answer: Option A

Explanation:
Remaining after rent = 80% of 20000 = 16000. Spent on food = 30% of 16000 = 4800. Savings = 16000 - 4800 = 11200.

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Question #94

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A person spends 10% of his salary on transport and 20% of the remaining on food. If he saves Rs. 3600, what is his total salary?

A. 4500

B. 6000

C. 5000

D. 4000

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Correct Answer: Option C

Explanation:
Let total salary = x. x * (90/100) * (80/100) = 3600. 0.72x = 3600. x = 5000.

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Question #95

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The ratio of boys to girls in a school is 3:2. If 20% of boys and 25% of girls are adults, what percentage of the total students are non-adults?

A. 75%

B. 70%

C. 80%

D. 78%

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Correct Answer: Option D

Explanation:
Let boys = 60, girls = 40. Total = 100. Adult boys = 20% of 60 = 12. Adult girls = 25% of 40 = 10. Total adults = 22. Non-adults = 100 - 22 = 78. Percentage = 78%.

This question belongs to: Maths Percentage

Question #96

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In a mixture, the ratio of copper to zinc is 5:3. If 20% of the mixture is removed, what percentage of the remaining mixture is copper?

A. 70%

B. 60%

C. 50%

D. 62.5%

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Correct Answer: Option D

Explanation:
Removing part of the mixture does not change the ratio. Copper proportion = 5 / (5+3) = 5/8. Percentage = (5/8) * 100 = 62.5%.

This question belongs to: Maths Percentage

Question #97

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In an examination, 60% of students passed in Mathematics, 70% passed in Science, and 20% failed in both. What percentage passed in both subjects?

A. 70%

B. 40%

C. 60%

D. 50%

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Correct Answer: Option D

Explanation:
Passed in at least one subject = 100% - 20% = 80%. n(M U S) = n(M) + n(S) - n(M ∩ S). 80 = 60 + 70 - n(M ∩ S). n(M ∩ S) = 130 - 80 = 50%.

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Question #98

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In a town, 70% of people speak English, 65% speak Hindi, and 27% speak neither. What percentage of people speak both languages?

A. 52%

B. 60%

C. 62%

D. 70%

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Correct Answer: Option C

Explanation:
Speak at least one = 100% - 27% = 73%. n(E U H) = n(E) + n(H) - n(E ∩ H). 73 = 70 + 65 - n(E ∩ H). n(E ∩ H) = 135 - 73 = 62%.

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Question #99

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If 20% of a number is 45, what is the number?

A. 300

B. 200

C. 250

D. 225

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Correct Answer: Option D

Explanation:
Let the number be x. (20 / 100) * x = 45 implies x = 45 * 5 = 225.

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Question #100

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Convert the fraction 3/8 into a percentage.

A. 40%

B. 37.5%

C. 33.33%

D. 35%

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Correct Answer: Option B

Explanation:
(3 / 8) * 100% = 37.5%.

This question belongs to: Maths Percentage

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