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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 2 of 14

21. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes :_________?

  • A. 10%
  • B. 10.25%
  • C. 10.50%
  • D. None of these

Explanation: Charging 10% per annum every 6 months means each half-year period uses a 5% rate.

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Correct answer: 10.25%

22. When the Price of fans was reduced by 20 %. The number of fans sold increased by 40 %. What was the effect on the sales of rupees?

  • A. 12 % Increase
  • B. 12 % decrease
  • C. 30 % increase
  • D. 40 % increase

Explanation: Take the original price as Rs. 100 and the original number sold as 100, making original sales Rs. 10,000.

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Correct answer: 12 % Increase

23. When the price of a toy was increased by 20 % of the number of toys sold was decreased by 15 %. What was the effect on the sales of the shop?

  • A. 4 % increase
  • B. 4 % decrease
  • C. 2 % increase
  • D. 2 % decrease

Explanation: Take the original price and number of toys as Rs. 100 and 100 toys, so sales are Rs. 10,000.

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Correct answer: 2 % increase

24. The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:________?

  • A. 4.37%
  • B. 5%
  • C. 6%
  • D. 8.75%

Explanation: The increase is 2,62,500 - 1,75,000 = 87,500 people, which is 87,500/1,75,000 x 100 = 50% over 10 years.

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Correct answer: 5%

25. Ramees buys good worth Rs. 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.

  • A. Rs. 6876.10
  • B. Rs. 6999.20
  • C. Rs. 6654
  • D. Rs. 7000

Explanation: The 6% rebate is Rs.6,650 x 6% = Rs.399, so the price after rebate is Rs.6,650 - Rs.399 = Rs.6,251.

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Correct answer: Rs. 6876.10

26. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

  • A. 57%
  • B. 60%
  • C. 65%
  • D. 90%

Explanation: The total votes are 1,136 + 7,636 + 11,628 = 20,400 votes. The winning candidate received 11,628/20,400 x 100 = 57%.

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Correct answer: 57%

27. The tank full of petrol in Haroon's motorcycle lasts for 10 days, if he starts using 25% more every day for how many days will the tank full of petrol last?

  • A. 5days
  • B. 6days
  • C. 7days
  • D. 8days

Explanation: If the normal daily consumption is 1 tank-day, using 25% more means consuming 1.25 tank-days per day.

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Correct answer: 8days

28. A gardener increases the area of his rectangular garden by increasing its length by 40% and decreasing by 20%. The area of the new garden?

  • A. Has increase by 20%
  • B. Has increase by 12%
  • C. Has increase b 8%
  • D. Is exactly the same as the old area

Explanation: Let the original length and breadth be L and B, so the old area is LB. The new area is 1.40L × 0.80B = 1.12LB, which is a 12% increase.

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Correct answer: Has increase by 12%

29. If the price of petral is increased by 20% by what percentage should the consumption be decreased by the consumer if the expenditure on petrel remains unchanged?

  • A. 16 2/3%
  • B. 6 2/3%
  • C. 8%
  • D. 15%

Explanation: Let the original price and consumption be P and Q, giving expenditure PQ.

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Correct answer: 16 2/3%

30. In a survey it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone, if 55% owned both a car and a Mobile phone, What percent of those surveyed owned a car or a mobile phone or both?

  • A. 65%
  • B. 80%
  • C. 85%
  • D. 97.5%

Explanation: Using the inclusion-exclusion rule, the percentage owning a car or a mobile phone is 80% + 60% − 55% = 85%.

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Correct answer: 85%

31. Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than that of the number X?

  • A. 8%
  • B. 9%
  • C. 10%
  • D. 11%

Explanation: Let Z be 100 units, so X = 80 units and Y = 72 units. Y is 8 units less than X, and 8 ÷ 80 × 100 = 10%, so Y is 10% less than X.

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Correct answer: 10%

32. In an examination, every candidate took physics or mathematics or both 65.8% took physics and 59.2% took mathematics the total number of candidates was 2000. How many candidates took both physics and mathematics?

  • A. 750
  • B. 500
  • C. 250
  • D. 125

Explanation: Since every candidate took at least one subject, the union is 100%. Therefore, both subjects = 65.8% + 59.2% − 100% = 25% of 2000…

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Correct answer: 500

33. A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is_________?

  • A. 24000
  • B. 30000
  • C. 54000
  • D. 60000

Explanation: Half of 300,000 people are literate, so the total number of literate people is 50% × 300,000 = 150,000 people.

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Correct answer: 24000

34. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?

  • A. 8
  • B. 10
  • C. 15
  • D. 16Educational Resources

Explanation: Attempting 8 questions at 50% gives marks equal to 8 × 50% = 4 full-question marks.

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Correct answer: 10

35. In a town 45% population read magazine A, 55% magazine B, 40% read Magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C and 10% read all the three magazines. What percentage do not read any magazine?

  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%

Explanation: The percentage reading at least one magazine is 45% + 55% + 40% − 30% − 15% − 25% + 10% = 80%, using inclusion-exclusion.

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Correct answer: 20%

36. Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?

  • A. Success rate is higher for women
  • B. Overall success rate is below 50%
  • C. More men cleared the examination than women
  • D. Both 'A' and 'B'Election Officer Mcqs

Explanation: Assume 100 candidates: 60 men and 40 women. Successful men = 60% × 70% × 80% = 33.6 candidates, while successful women = 40% × 75% × 70% =…

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Correct answer: More men cleared the examination than women

37. The price of a certain item is increased by 15 %. If a consumer wants to keep his expenditure on the item same as before how much percent must he reduce his consumption of that item?

  • A. 10 20/23 %
  • B. 13 1/23 %
  • C. 16 2/3 %
  • D. 15 %

Explanation: Let the original price and consumption be P and Q. With a 15% increase, the new price is 1.15P, so unchanged expenditure requires…

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Correct answer: 13 1/23 %

38. If the numerator of a fraction is increased by 250 % and the denominator is increased by 400 % the resultant fraction is 7/19. What is the original fraction?

  • A. 10/19
  • B. 5/9
  • C. 9/5
  • D. 19/7Standardized & Admissions Tests

Explanation: Increasing the numerator by 250% makes it 3.5 times the original, and increasing the denominator by 400% makes it 5 times the original.

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Correct answer: 10/19

39. The value of a plant depreciates by 10 % annually. If the present value of the plant is Rs. 100000, then what will be its value after 2 years?

  • A. Rs. 8000
  • B. Rs 10000
  • C. Rs. 18000
  • D. Rs. 81000

Explanation: A 10% annual depreciation leaves 90% of the value each year. After 2 years, the value is Rs. 100,000 × 0.90 × 0.90 = Rs. 81,000.

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Correct answer: Rs. 81000

40. Three candidates in an election received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

  • A. 11. 6 %
  • B. 60 %
  • C. 76. 4 %
  • D. None of these

Explanation: Total votes = 1,136 votes + 7,636 votes + 11,628 votes = 20,400 votes. The winning candidate received 11,628 ÷ 20,400 × 100 = 57%, which…

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Correct answer: None of these
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