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 12 of 14

  • A. 7 years
  • B. 10 years
  • C. 15 years
  • D. 20 years

Explanation: If the amount doubles in 5 years, it becomes four times in 10 years and eight times, which is 2^3, in 15 years.

Correct answer: 15 years
  • A. Rs 2518
  • B. Rs 2520
  • C. Rs 2522
  • D. Rs 2524

Explanation: Nine months contain three quarterly periods, and the rate per quarter is 20% / 4 = 5%.

Correct answer: Rs 2522
  • A. Rs 17423
  • B. Rs 18973
  • C. Rs 19448
  • D. Rs 19880

Explanation: At 10% annually compounded half-yearly, the rate per half-year is 5%, and 2 years contain 4 periods.

Correct answer: Rs 19448
  • A. Rs 230
  • B. Rs 232
  • C. Rs 600
  • D. Rs 832

Explanation: A's simple interest is 6,000 Rs x 5% x 2 = 600 Rs. B's compound interest is 5,000 Rs x [(1.08)^2 - 1] = 832 Rs, so the difference is 832…

Correct answer: Rs 232
  • A. Rs 50
  • B. Rs 60
  • C. Rs 61
  • D. Rs 600

Explanation: The simple interest is 8,000 Rs x 5% x 3 = 1,200 Rs. The compound interest is 8,000 Rs x [(1.05)^3 - 1] = 1,261 Rs, so the difference is…

Correct answer: Rs 61
  • A. Rs 145
  • B. Rs 150
  • C. Rs 165
  • D. Rs 180
  • E. None of these

Explanation: The simple interest is 5,000 Rs x 10% x 3 = 1,500 Rs. The compound interest is 5,000 Rs x [(1.10)^3 - 1] = 1,655 Rs, so the difference is…

Correct answer: None of these
  • A. Rs.4400
  • B. Rs.4445
  • C. Rs.4460
  • D. Rs.4520

Explanation: For compound interest, the six-year amount divided by the three-year amount gives the growth factor for the next 3 years: Rs.10,035 ÷…

Correct answer: Rs.4460
  • A. Rs.1500
  • B. Rs.2000
  • C. Rs.2500
  • D. Rs.3000

Explanation: The one-year compound growth factor is Rs.3,149.28 ÷ Rs.2,916 = 1.08, so the annual rate is 8%.

Correct answer: Rs.2500
  • A. 5 %
  • B. 10 %
  • C. 15 %
  • D. 20 %

Explanation: The amount grows from Rs.9,680 after 2 years to Rs.10,648 after 3 years, so the one-year factor is Rs.10,648 ÷ Rs.9,680 = 1.10.

Correct answer: 10 %
  • A. 10 %
  • B. 12 %
  • C. 6 %
  • D. 8 %Quiz Mode Feature

Explanation: For 2 years of annual compounding, the difference between compound interest and simple interest is P(r/100)^2.

Correct answer: 12 %
  • A. Rs.350
  • B. Rs.375
  • C. Rs. 380
  • D. Rs. 400

Explanation: For 2 years at 10% per annum, compound interest is P[(1.10)^2 - 1] = P x 0.21.

Correct answer: Rs. 400
  • A. Rs.600
  • B. Rs.500
  • C. Rs.400
  • D. Rs.300

Explanation: For 2 years, the difference between compound interest and simple interest is P(r/100)^2.

Correct answer: Rs.600
  • A. Rs. 1000
  • B. Rs. 1200
  • C. Rs. 1320
  • D. None of these

Explanation: The interest earned during the second year is 10% of the amount after the first year, which is P x 1.10.

Correct answer: Rs. 1200
  • A. 1 Year
  • B. 2 years
  • C. 3 Years
  • D. 4 Years

Explanation: After 2 years, the compound amount is Rs.800 x (1.05)^2 = Rs.800 x 1.1025 = Rs.882. Therefore, the required time is 2 years.

Correct answer: 2 years
  • A. Rs. 81.60
  • B. Rs. 160
  • C. Rs. 1081.60
  • D. None of these

Explanation: Simple interest Rs.80 = P x 4% x 2 years, so P = Rs.80 ÷ 0.08 = Rs.1,000.

Correct answer: Rs. 81.60
  • A. Rs. 8082
  • B. Rs. 7800
  • C. Rs. 8100
  • D. Rs. 8112

Explanation: The amount after 2 years is Rs.7,500 x (1.04)^2 = Rs.7,500 x 1.0816 = Rs.8,112.

Correct answer: Rs. 8112
  • A. 8
  • B. 10
  • C. 12
  • D. Cannot be determined

Explanation: For 2 years, the difference is P(r/100)^2. Thus Rs.96 = Rs.15,000 x (r/100)^2, so (r/100)^2 = 0.0064 and r = 8% per annum.

Correct answer: 8
  • A. Rs. 1620
  • B. Rs. 1640
  • C. Rs. 1680
  • D. Rs. 1700

Explanation: Discount each annual repayment to its present value: Rs.882 ÷ 1.05 = Rs.840 for the first repayment and Rs.882 ÷ (1.05)^2 = Rs.800 for the…

Correct answer: Rs. 1640
  • A. 3
  • B. 4
  • C. 5
  • D. 6Education

Explanation: At 20% compound interest, after 3 years the growth factor is (1.20)^3 = 1.728, which is less than 2.

Correct answer: 4
  • A. 7 years
  • B. 10 years
  • C. 15 years
  • D. 20 years

Explanation: If the amount doubles in 5 years, it becomes 2 times the principal in each 5-year period.

Correct answer: 15 years