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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 7 of 14

121. A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

  • A. 150
  • B. 200
  • C. 250
  • D. 275

Explanation: Let the total marks be M and passing marks be P. The two statements give 0.30M = P - 50 marks and 0.45M = P + 25 marks; subtracting gives…

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Correct answer: 200

122. A man saves 20% of his monthly salary. If an account of dearness of things he is to increase his monthly expenses by 20%, he is only able to save Rs. 200 per month. What is his monthly salary?

  • A. Rs.5000
  • B. Rs.25000
  • C. Rs.7500
  • D. Rs.8500

Explanation: Saving 20% of the salary means the original expenses are 80% of salary.

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Correct answer: Rs.5000

123. Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?

  • A. 15%
  • B. 12%
  • C. 10%
  • D. 5%

Explanation: Let the third number be 100 units. The first number is 70 units and the second is 63 units, so the second is 7 units less than the first.

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Correct answer: 10%

124. If cost of sugar increases by 25%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?

  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%
  • E. None

Explanation: Keep expenditure fixed by making the consumption factor the reciprocal of the price factor.

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Correct answer: 20%

125. Nawaz Sahrif spends 10% of his income in house rent, 20% of the rest on his children's education, 25% of the rest miscellaneous causes. If he now posses Rs. 1944 then his income is_______?

  • A. Rs.3600
  • B. Rs.4000
  • C. Rs.4500
  • D. Rs.3000

Explanation: After paying 10% rent, 90% of the income remains. After spending 20% of that on education, 80% remains, and after spending 25% of that on…

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Correct answer: Rs.3600

126. Masood's salary is reduced by 10% and then reduced salary is increased by 10%. Find ,how many percentage his present salary is less as compared to his previous salary?

  • A. Nothing
  • B. 10%
  • C. 1%
  • D. 5%

Explanation: Take the previous salary as 100%. A 10% reduction makes it 90%, and a 10% increase on that reduced salary gives 90% x 110% = 99%, so the…

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Correct answer: 1%

127. There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?

  • A. 456
  • B. 744
  • C. 912
  • D. 1200

Explanation: The winner's 62% share exceeds the loser's 38% share by 24% of all votes.

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Correct answer: 744

128. If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1978 was__________?

  • A. 1,20,000
  • B. 1,10,000
  • C. 1,00,000
  • D. 90,000

Explanation: From 1978 to 1981 there are 3 annual increases, so the 1981 population is the 1978 population x 1.05 x 1.05 x 1.05 = population x…

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Correct answer: 1,20,000

129. At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360 marks, what percentage of full marks was obtained by D?

  • A. 70%
  • B. 90%
  • C. 80%
  • D. 75%

Explanation: A got 90% of B, B got 125% of C, and C got 80% of D, so A = 0.90 x 1.25 x 0.80 x D = 0.90D.

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Correct answer: 80%

130. The tax on a commodity is diminished by 20% but its consumption is increased by 10%. Find the decrease percent in the revenue derived from it?

  • A. 20%
  • B. 18%
  • C. 15%
  • D. 12%

Explanation: Revenue equals tax per unit multiplied by consumption. After a 20% tax reduction and a 10% consumption increase, revenue becomes 80% x…

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Correct answer: 12%

131. The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is__________?

  • A. 3
  • B. 4
  • C. 5
  • D. 6

Explanation: The 9 ml lotion contains 50% alcohol, so alcohol volume is 50/100 x 9 ml = 4.5 ml.

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Correct answer: 6

132. A mixture of 70 liters of wine and water contains 10% water. How much water must be added to make water 12 ½% of the total mixture?

  • A. 12 liters
  • B. 10 liters
  • C. 4 liters
  • D. 2 liters

Explanation: Initially, water is 10% of 70 litres, so it is 7 litres. If x litres of water are added, (7 + x) / (70 + x) = 12.5% = 1/8, giving 56 + 8x…

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Correct answer: 2 liters

133. In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is________?

  • A. 32%
  • B. 42%
  • C. 52%
  • D. 62%

Explanation: Take the workforce as 100 workers: 40 are technicians and 60 are non-technicians.

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Correct answer: 52%

134. 5% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?

  • A. 3800
  • B. 4200
  • C. 4400
  • D. 5500

Explanation: After 5% die, 95% remain, and after 15% of that remainder leave, 85% of 95% remains: 0.95 x 0.85 = 0.8075.

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Correct answer: 4400

135. A salesman's terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?

  • A. Rs. 14,000
  • B. Rs. 12,000
  • C. Rs. 30,000
  • D. Rs. 40,000

Explanation: For sales S rupees, the old commission is 5% of S = 0.05S rupees. The new remuneration is 1000 + 2.5% of (S - 4000) = 1000 + 0.025S - 100…

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Correct answer: Rs. 12,000

136. A and B's salaries together amount to Rs. 2,000. A spends 95% of his salary and B spends 85% of his. If now their savings are the same, what is A's salary?

  • A. Rs.500
  • B. Rs.750
  • C. Rs.1250
  • D. Rs.1500

Explanation: A saves 5% of A's salary, while B saves 15% of B's salary. Equal savings give 0.05A = 0.15B, so A = 3B; with A + B = 2000 rupees, 4B =…

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Correct answer: Rs.1500

137. An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum No. of marks obtained by him is_________?

  • A. 300
  • B. 400
  • C. 350
  • D. 500

Explanation: The student fails by 14 marks after scoring 130 marks, so the passing score is 130 + 14 = 144 marks.

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Correct answer: 400

138. If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction.

  • A. 1/12
  • B. 1/8
  • C. 1/6
  • D. 1/4

Explanation: Let the original fraction be n/d. After the changes, its value is (1.20n)/(0.75d) = 2/15, so n/d = (2/15) x (0.75/1.20) = (2/15) x (5/8) =…

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Correct answer: 1/12

139. Subtracting 10% from X is the same as multiplying X by what number?

  • A. 80%
  • B. 90%
  • C. 10%
  • D. 50%Pakistan Studies Quiz

Explanation: Subtracting 10% of X leaves 100% - 10% = 90% of X, which is the same as multiplying X by 90% or 0.90.

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Correct answer: 90%

140. If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?

  • A. 27 2/23 %
  • B. 33 1/3 %
  • C. 30%
  • D. 19%

Explanation: Let the original price and quantity be P rupees and Q ornaments. After a 50% price increase, the price is 1.5P rupees, so the new quantity…

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Correct answer: 33 1/3 %
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