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 10 of 14

  • A. Rs.140
  • B. Rs.120
  • C. Rs.130
  • D. Rs.110
  • E. None of these.Enrolling In Online Certification Courses

Explanation: With yearly compounding, the one-year interest is Rs. 12,000 x 20% = Rs. 2,400.

Correct answer: Rs.120
  • A. Rs.18000
  • B. Rs.17000
  • C. Rs.18500
  • D. Rs.17500
  • E. None of these.

Explanation: For two years, compound interest minus simple interest equals P x r^2. Here the difference is Rs. 11,730 - Rs. 10,200 = Rs.

Correct answer: Rs.17000
  • A. Rs.7500
  • B. Rs.7000
  • C. Rs.8000
  • D. Rs.6500
  • E. None of these

Explanation: For two years, the excess of compound interest over simple interest is P x r^2. Thus Rs. 48 = P x (0.08)^2, so P = Rs. 48/0.0064 = Rs.

Correct answer: Rs.7500
  • A. Rs.20043.94
  • B. Rs.18654.81
  • C. Rs.20264.46
  • D. Rs.19612.41
  • E. None of these

Explanation: The simple interest equation gives Rs. 17,820 = Rs. 49,500 x r x 3, so r = 0.12, or 12% per year. Compound interest is Rs.

Correct answer: Rs.20043.94
  • A. Rs.500
  • B. Rs.250
  • C. Rs.5012.50
  • D. Rs.5062.50
  • E. None of these.

Explanation: From Rs. 500 = P x 5% x 2, the original principal is P = Rs. 500/0.10 = Rs. 5,000, so twice the principal is Rs. 10,000.

Correct answer: None of these.
  • A. Rs.2520
  • B. Rs.3120
  • C. Rs.3320
  • D. Rs.2760
  • E. None of these

Explanation: Apply each year's rate to the growing balance: Rs. 4,800 x 1.10 x 1.20 x 1.25 = Rs. 7,920. Therefore, the total compound interest is Rs.

Correct answer: Rs.3120
  • A. 18% p.a.
  • B. 22% p.a.
  • C. 20% p.a.
  • D. 24% p.a.
  • E. None of these.

Explanation: The third year's compound interest equals the second year's interest multiplied by 1 + r, because the second-year interest also earns…

Correct answer: 20% p.a.
  • A. Rs.4273
  • B. Rs.4613
  • C. Rs.4064
  • D. Rs.4266
  • E. None of these

Explanation: The two-year compound interest is Rs. 14,800 x [(1.135)^2 - 1] = Rs. 14,800 x 0.288225 = Rs. 4,265.73.

Correct answer: Rs.4266
  • A. Rs.18,828.80
  • B. Rs.19,828.80
  • C. Rs.18,028.80
  • D. Rs.17,828.80
  • E. None of these

Explanation: For two years at 8%, compound interest is P x [(1.08)^2 - 1] = P x 0.1664. Therefore P = Rs. 2,828.80/0.1664 = Rs.

Correct answer: Rs.19,828.80
  • A. Rs.460
  • B. Rs.5640
  • C. Rs.5460
  • D. Rs.5604

Explanation: The first year's balance is Rs. 5,000 x 1.04 = Rs. 5,200. Applying the second year's 5% rate gives Rs. 5,200 x 1.05 = Rs.

Correct answer: Rs.5460
  • A. 10
  • B. 11
  • C. 10.25
  • D. 10.15

Explanation: The total annual increase is 4% + 1% = 5%. Over 2 years, the population becomes 1.05 x 1.05 = 1.1025 of the original, so the percentage…

Correct answer: 10.25
  • A. Rs.150
  • B. Rs.140
  • C. Rs.130
  • D. Data insufficient for the answer

Explanation: The simple-interest amount gives P(1 + 2r) = Rs.1344, but both the principal P and rate r are unknown.

Correct answer: Data insufficient for the answer
  • A. Rs.2205
  • B. Rs.2200
  • C. Rs.2160
  • D. Rs.2040

Explanation: For quarterly compounding, the 20% annual rate becomes 20%/4 = 5% per quarter, and 6 months contains 2 quarters.

Correct answer: Rs.2205
  • A. Rs.482
  • B. Rs.424
  • C. Rs.842
  • D. Rs.512

Explanation: With half-yearly compounding, Amount = Rs.20000 x 1.10⁴ = Rs.29282, while yearly compounding gives Rs.20000 x 1.20² = Rs.28800.

Correct answer: Rs.482
  • A. 8500
  • B. 8000
  • C. 8100
  • D. 8400Downloading Interactive Party Trivia Games

Explanation: Let the initial population be P. After a 10% increase and then a 10% decrease, it becomes P x 1.10 x 0.90 = 0.99P, so 0.99P = 7920 and P =…

Correct answer: 8000
  • A. Rs.10
  • B. Rs.2
  • C. Rs.5
  • D. Rs.3

Explanation: For 2 years, the compound-interest excess over simple interest is P x r² = Rs.1250 x (0.04)² = Rs.1250 x 0.0016 = Rs.2.

Correct answer: Rs.2
  • A. Rs.635.50
  • B. Rs.613.50
  • C. Rs.675.50
  • D. Rs.653.50

Explanation: After 2 years, the debt is Rs.4000 x 1.05² = Rs.4410; after repaying Rs.2210, Rs.2200 remains.

Correct answer: Rs.635.50
  • A. Rs.81000
  • B. Rs.80000
  • C. Rs.75000
  • D. Rs.64000

Explanation: An increase by 1/8 means each year the amount is multiplied by 1 + 1/8 = 9/8.

Correct answer: Rs.81000
  • A. Rs.1261
  • B. Rs.9261
  • C. Rs.9621
  • D. Rs.9162

Explanation: Quarterly compounding makes the rate 20%/4 = 5% per quarter, and 9 months contains 3 quarters.

Correct answer: Rs.9261
  • A. Rs.8000
  • B. Rs.8400
  • C. Rs.7500
  • D. None

Explanation: The amount grows from Rs.8820 in year 2 to Rs.9261 in year 3, so the one-year growth factor is Rs.9261/Rs.8820 = 1.05, giving a 5% rate.

Correct answer: Rs.8000