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 13 of 14

  • A. 2 1/2 %
  • B. 4%
  • C. 5%
  • D. 6 2/3 %

Explanation: From the third to the fourth year, the amount rises from Rs.800 to Rs.840, so one year's interest is Rs.840 - Rs.800 = Rs.40.

Correct answer: 5%
  • A. 10%
  • B. 10.5%
  • C. 12%
  • D. None of these

Explanation: The difference is Rs.696.30 - Rs.660 = Rs.36. For 2 years, the difference divided by the simple interest equals r/2, so r = 2 x Rs.36 ÷…

Correct answer: None of these
  • A. 625
  • B. 630
  • C. 640
  • D. 650

Explanation: For 2 years at 4% per annum, the difference is P x (4/100)^2 = P x 0.0016.

Correct answer: 625
  • A. Rs. 2160
  • B. Rs. 3120
  • C. Rs. 3972
  • D. Rs. 6240

Explanation: A 60% simple-interest increase in 6 years means the annual rate is 60% ÷ 6 = 10% per annum.

Correct answer: Rs. 3972
  • A. 1350
  • B. 1450
  • C. 1550
  • D. 1421

Explanation: Since 3√196 = 3 x 14 = 42, the equation becomes (50 - ?/29)% of 4200 = 42.

Correct answer: 1421
  • A. 1500
  • B. 1750
  • C. 9000
  • D. 7500

Explanation: The increase from 9000 to 10500 is 1500. Since 16 2/3% equals 1/6, the required number satisfies ?/6 = 1500, so ? = 1500 x 6 = 9000.

Correct answer: 9000
  • A. 2500
  • B. 3500
  • C. 3600
  • D. 4500

Explanation: Find each percentage: 26.98% of 6002 = 0.2698 x 6002 = 1619.34, and 45.01% of 4199 = 0.4501 x 4199 = 1889.97.

Correct answer: 3500
  • A. 167
  • B. 154
  • C. 162
  • D. 181

Explanation: Convert 332% to 3.32: 3.32 x 2113 = 7015.16. Dividing by 42 gives 7015.16 / 42 = 167.03, approximately 167, option a.

Correct answer: 167
  • A. 140
  • B. 120
  • C. 160
  • D. 180

Explanation: Twenty percent of 40 is (20/100) x 40 = 8, leaving 120 - 8 = 112 for the second term.

Correct answer: 140
  • A. 20
  • B. 40
  • C. 60
  • D. 80

Explanation: Calculate 32% of 425: 0.32 × 425 = 136. Hence 136 - (x/100 × 250) = 36, so x/100 × 250 = 100 and x = 40%.

Correct answer: 40
  • A. 312.73
  • B. 373.12
  • C. 337.12
  • D. 339.12

Explanation: Convert 43% to 0.43 and multiply: 0.43 × 784 = 337.12. Therefore option c is correct.

Correct answer: 337.12
  • A. 4
  • B. 0.1
  • C. 1
  • D. 0.4Downloading Interactive Party Trivia Games

Explanation: Forty percent of 160 is 0.40 x 160 = 64, while 17% of 400 is 0.17 x 400 = 68. Therefore ?% of 400 = 68 - 64 = 4, so ?

Correct answer: 1
  • A. 7
  • B. 10
  • C. 15
  • D. 49

Explanation: Using 33.33% as the intended approximation to 1/3, (27 + 3) ÷ 5 = 6 and 1/3 of 6 = 2.

Correct answer: 7
  • A. 25
  • B. 125
  • C. 241/5
  • D. 253/5

Explanation: Inside the percentage term, 26/13 + 24/12 + 21 = 2 + 2 + 21 = 25, and 60% of 25 = 15.

Correct answer: 25
  • A. 90
  • B. 270
  • C. 810
  • D. 240

Explanation: The intended values are 16.66% = 1/6, 33.33% = 1/3, and 66.66% = 2/3. Their product is 1/6 x 1/3 x 2/3 = 1/27, so ? ÷ 27 = 30 and ?

Correct answer: 810
  • A. 1037.50
  • B. 1157.50
  • C. 103.75
  • D. 1038

Explanation: Interpret 10 1/4 as the mixed number 10.25: 10.25 x 100 = 1025, while 10% of 10 = 1.

Correct answer: 1037.50
  • A. x = 20, y = 20
  • B. x = 20, y = 40
  • C. x = 20, y = 80
  • D. Cannot be determined

Explanation: x% of 80 is 80x/100 = 0.8x, while 20% of y is 20y/100 = 0.2y. Thus 0.8x = 0.2y, giving y = 4x, so many pairs are possible and the exact…

Correct answer: Cannot be determined
  • A. Neither increased nor decreased
  • B. Increased by 1%
  • C. Decreased by 1%
  • D. Decreased by 10%

Explanation: Let the original area be L × B. After the changes, the new area is 110% of L × 90% of B, so it is 1.10 × 0.90 = 0.99 times the original…

Correct answer: Decreased by 1%
  • A. 1.01%
  • B. 5.01%
  • C. 3.01%
  • D. 2.01%

Explanation: If the original radius is r, the new radius is 1.01r. Since area is proportional to the square of the radius, the new area is (1.01)²A =…

Correct answer: 2.01%
  • A. 52.65
  • B. 56.25
  • C. 50.75
  • D. 42.75

Explanation: Let the original side be s, so the new side is 1.25s. The new area is (1.25s)² = 1.5625s², which is 56.25% greater than s².

Correct answer: 56.25