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Free Percentages MCQs with Answers

273 Percentages MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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273 questions · page 6 of 14

101. Amir saves 32% of his monthly salary. If he spends Rs. 27200, then find his savings?

  • A. 15400
  • B. 14300
  • C. 13200
  • D. 12800

Explanation: If Amir saves 32% of his salary, he spends the remaining 68%. Therefore, 68% of salary = Rs. 27200, giving salary = Rs. 27200 ÷ 0.68 = Rs.

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Correct answer: 12800

102. If the price of an article went up by 20%, then by what percent should it be brought down to bring it back to its original price?

  • A. 16 2/3%
  • B. 20%
  • C. 22 1/3%
  • D. 15%
  • E. None of these

Explanation: Take the original price as 100 units. After a 20% increase it becomes 120 units, so the required reduction is 20 units out of the new…

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Correct answer: 16 2/3%

103. If P gets 25% more than Q, then by what percent does Q get less than P?

  • A. 33 1/3%
  • B. 30%
  • C. 20%
  • D. 16 2/3%
  • E. None of these

Explanation: If Q is 100 marks, P gets 25% more, so P = 125 marks. Q is lower than P by 25 marks, and the decrease relative to P is (25 ÷ 125) x 100 =…

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Correct answer: 20%

104. If 30% of a number exceeds 20% of it by 18, then find the number?

  • A. 120
  • B. 200
  • C. 180
  • D. 150
  • E. None of these

Explanation: The difference between 30% and 20% of the number is 10% of the number. Thus, 10% of the number = 18, so the number = 18 ÷ 0.10 = 180.

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Correct answer: 180

105. When the numerator of a fraction is decreased by 25% and its denominator is decreased by 20%, the new fraction obtained is 3/4. Find the original fraction?

  • A. 5/4
  • B. 4/7
  • C. 5/6
  • D. 6/7
  • E. None of these

Explanation: Let the original fraction be n/d. After the changes, the fraction is (0.75n)/(0.80d) = 3/4. Hence n/d = (3/4) x (0.80/0.75) = 4/5.

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Correct answer: None of these

106. Bilal spends 45% of his monthly income on household items, 25% of his monthly income on buying cloths, 7.5% of his monthly income on medicines and saves the remaining amount which is Rs. 9000. Find his monthly income.

  • A. Rs. 40000
  • B. Rs. 36000
  • C. Rs. 50000
  • D. Rs. 45000
  • E. None of these

Explanation: Total spending is 45% + 25% + 7.5% = 77.5%, so the saved amount is 22.5% of monthly income. Therefore, 22.5% of income = Rs.

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Correct answer: Rs. 40000

107. If 15% of 30% of 50% of a number is 90, then what is the number?

  • A. 4000
  • B. 3050
  • C. 4400
  • D. 4500
  • E. None of these

Explanation: The combined percentage is 15% x 30% x 50% = 0.15 x 0.30 x 0.50 = 0.0225. Thus, 0.0225 x number = 90, so number = 90 ÷ 0.0225 = 4000.

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Correct answer: 4000

108. If A got 80 marks and B got 60 marks, then what percent of A's mark is B's mark?

  • A. 60%
  • B. 80%
  • C. 65%
  • D. 75%
  • E. None of these

Explanation: B's marks as a percentage of A's marks are calculated using A as the base: (60 marks ÷ 80 marks) x 100 = 75%.

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Correct answer: 75%

109. 3/20 is what percent of 12/25?

  • A. 42.75%
  • B. 31.25%
  • C. 35.5%
  • D. 40.5%
  • E. None of these

Explanation: To find what percentage 3/20 is of 12/25, calculate [(3/20) ÷ (12/25)] x 100 = (3/20 x 25/12) x 100 = 31.25%.

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Correct answer: 31.25%

110. 80 is what percent of 64?

  • A. 85%
  • B. 120%
  • C. 75%
  • D. 125%
  • E. None of these

Explanation: Using 64 as the base, the percentage is (80 ÷ 64) x 100 = 1.25 x 100 = 125%.

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Correct answer: 125%

111. What percent of 125 is 16?

  • A. 10 2/5%
  • B. 12 3/5%
  • C. 11 1/5%
  • D. None of these

Explanation: The required percentage is (16 ÷ 125) x 100 = 12.8%, which is 12 4/5%. This value is not listed, so option d is correct.

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Correct answer: None of these

112. Find the 37.5% of 976 =_______?

  • A. 324
  • B. 388
  • C. 366
  • D. 372
  • E. None of these

Explanation: 37.5% equals 3/8, so 37.5% of 976 = (3/8) x 976 = 3 x 122 = 366. The likely trap is 388, which is 40% of 970 approximately and does not…

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Correct answer: 366

113. When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

  • A. 133 1/3 m
  • B. 150 m
  • C. 106 2/3 m
  • D. 166 2/3 m

Explanation: Let the country's wheat production be x million bags and the required total be fixed.

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Correct answer: 166 2/3 m

114. A person was asked to subtract 25% of a number from the original but he subtracted 25 from the number. His answer was 25 more than correct one. What was the original number?

  • A. 160
  • B. 180
  • C. 225
  • D. 200

Explanation: Let the original number be x. The correct answer is x - 25% of x = 0.75x, while the mistaken answer is x - 25; since it is 25 more, x - 25…

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Correct answer: 200

115. In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?

  • A. 173
  • B. 163
  • C. 153
  • D. 143

Explanation: The listed communities make up 44% + 28% + 10% = 82%, so other communities are 100% - 82% = 18%.

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Correct answer: 153

116. A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs.576 find his income?

  • A. Rs.900
  • B. Rs.800
  • C. Rs.500
  • D. Rs.1000

Explanation: If the income is x rupees, education uses 1/5, leaving 4/5x rupees. Food uses 20% of this remainder, so 80% remains: 0.8 x 0.8x = 0.64x =…

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Correct answer: Rs.900

117. In an examination, 47% failed in English and 54% failed in Mathematics. Find the pass percentage in both the subjects if 31% failed in both the subjects?

  • A. 70%
  • B. 37%
  • C. 53%
  • D. 30%

Explanation: Using inclusion-exclusion, the percentage failing in at least one subject is 47% + 54% - 31% = 70%, because students failing both were…

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Correct answer: 30%

118. The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?

  • A. 90% increase
  • B. 45% increase
  • C. 9% decrease
  • D. Same as before

Explanation: Take the original salary as 100%. After a 30% increase it becomes 130%, and reducing this new salary by 30% gives 130% x 70% = 91%.

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Correct answer: 9% decrease

119. In an examination 40% failed in Urdu, 45% failed in English. If 25% students failed in both the subjects. Then the percentage of failed students is________?

  • A. 15%
  • B. 65%
  • C. 60%
  • D. 70%

Explanation: The percentage failing in at least one subject is 40% + 45% - 25% = 60%, subtracting the 25% who failed in both because they were counted…

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Correct answer: 60%

120. After 38 liters of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

  • A. 38 liters
  • B. 40 liters
  • C. 38.5 liters
  • D. 2 liters

Explanation: The 38 litres poured in represent 95% of the tank because the tank is still 5% empty.

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Correct answer: 2 liters
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