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 9 of 14

  • A. 1:4
  • B. 3:4
  • C. 1:3
  • D. 2:3

Explanation: Take z as 100%; then x = 120% of z and y = 180% of z. Therefore x:y = 120:180 = 2:3.

Correct answer: 2:3
  • A. 3:2
  • B. 1:2
  • C. 1:5
  • D. 2:1

Explanation: If q is 100%, then p is 100% + 50% = 150% of q. Thus p:q = 150:100 = 3:2.

Correct answer: 3:2
  • A. 8 : 9
  • B. 17 : 18
  • C. 21 : 22
  • D. Cannot be determined

Explanation: Start with 7k boys and 8k girls. After the increases, the numbers are 7k x 1.20 = 8.4k and 8k x 1.10 = 8.8k; dividing both by 0.4k gives…

Correct answer: 21 : 22
  • A. Rs. 96
  • B. Rs. 95.75
  • C. Rs. 96.25
  • D. Rs. 104.25Credit & Lending

Explanation: A 4% discount on Rs. 100 gives a price of Rs. 96. Brokerage of 1/4% is Rs. 0.25, so total cost is Rs. 96 + Rs. 0.25 = Rs. 96.25.

Correct answer: Rs. 96.25
  • A. 5440
  • B. 5480
  • C. 6440
  • D. 6480

Explanation: A 15% discount means the cost is 85% of the nominal stock value. Cost = 85/100 x Rs. 6400 = Rs. 5440. The likely trap is option b, Rs.

Correct answer: 5440
  • A. Rs. 10800
  • B. Rs. 10000
  • C. Rs. 14400
  • D. Rs. 16000Pakistan Studies Quiz

Explanation: A 12% stock gives an annual income of 12% of its nominal value, so the required nominal stock is Rs. 1200 ÷ 0.12 = Rs. 10,000.

Correct answer: Rs. 10000
  • A. 12
  • B. 15
  • C. 18
  • D. 20

Explanation: Each Rs. 20 share pays 9% of Rs. 20, giving a dividend of Rs. 1.80 per share. For a 12% return, market price = Rs. 1.80 ÷ 0.12 = Rs. 15.

Correct answer: 15
  • A. Rs.40
  • B. Rs.37.50
  • C. Rs.48
  • D. Rs.52

Explanation: The dividend on each Rs. 50 share is 10% x Rs. 50 = Rs. 5. To earn 12.5%, the purchase price must be Rs. 5 ÷ 0.125 = Rs. 40.

Correct answer: Rs.40
  • A. 7.5%
  • B. 8%
  • C. 9.7%
  • D. None of these

Explanation: At Rs. 97 per Rs. 100 stock, Rs. 1552 buys Rs. 1552 ÷ 97 x Rs. 100 = Rs. 1600 nominal stock. Since the income is Rs.

Correct answer: 8%
  • A. 3600(8%), 4200(9%)
  • B. 4000(8%), 4200(9%)
  • C. 3600(8%), 4000(9%)
  • D. 4000(8%), 4000(9%)

Explanation: Selling Rs. 5000 nominal stock at Rs. 156 gives proceeds of Rs. 5000 x 156/100 = Rs. 7800. The new income must be Rs. 600 + Rs. 70 = Rs.

Correct answer: 3600(8%), 4200(9%)
  • A. Rs. 72
  • B. Rs. 116.50
  • C. Rs. 90
  • D. Rs. 112.50

Explanation: A 9% stock yielding 8% has market price P satisfying 9/P = 8/100. Therefore P = (9 x Rs. 100) ÷ 8 = Rs. 112.50 per Rs. 100 stock.

Correct answer: Rs. 112.50
  • A. Rs. 500
  • B. Rs. 600
  • C. Rs. 650
  • D. Rs. 720

Explanation: A 20% premium makes each Rs. 100 share cost Rs. 120, so Rs. 14400 buys Rs. 14400 ÷ Rs. 120 = 120 shares. The yearly dividend is 5% of Rs.

Correct answer: Rs. 600
  • A. 150
  • B. 165
  • C. 180
  • D. 201

Explanation: Dividend is calculated on the face value, not on the premium or brokerage. Each Rs. 25 share pays 7.5% x Rs. 25 = Rs.

Correct answer: 165
  • A. 450
  • B. 500
  • C. 550
  • D. 600

Explanation: Each share costs Rs. 25, and 2% brokerage is Rs. 25 x 0.02 = Rs. 0.50, making the total cost per share Rs. 25.50. Number of shares = Rs.

Correct answer: 500
  • A. Rs. 37.50
  • B. Rs. 40
  • C. Rs. 48
  • D. Rs 52Credit & Lending

Explanation: A Rs. 50 share paying 10% gives a dividend of Rs. 5 per share. If this is 12.5% of the purchase price, that price is Rs. 5 ÷ 0.125 = Rs.

Correct answer: Rs. 40
  • A. Rs. 16,500
  • B. Rs. 16,525.50
  • C. Rs. 16,537.50
  • D. Rs. 18,150

Explanation: For half-yearly compounding, the 10% annual rate becomes 5% per half-year, giving two periods: Rs. 15,000 x 1.05 x 1.05 = Rs. 16,537.50.

Correct answer: Rs. 16,537.50
  • A. Rs. 9000.30
  • B. Rs. 9720
  • C. Rs. 10123.20
  • D. Rs. 10483.20

Explanation: Compound interest is Rs. 25,000 x [(1.12)^3 - 1] = Rs. 25,000 x 0.404928 = Rs. 10,123.20. Option b, Rs.

Correct answer: Rs. 10123.20
  • A. Rs. 8600
  • B. Rs. 8620
  • C. Rs. 8800
  • D. Rs. 8840
  • E. None of these

Explanation: The maturity amount after two annual compound-interest periods is Rs. 8,000 x 1.05^2 = Rs. 8,000 x 1.1025 = Rs. 8,820. Since Rs.

Correct answer: None of these
  • A. Rs.21.60
  • B. Rs.24.00
  • C. Rs.25.20
  • D. Rs.27.80
  • E. None of these

Explanation: The simple-interest borrowing cost is Rs. 6,000 x 6% x 2 = Rs. 720. The lending return is Rs. 6,000 x [(1.06)^2 - 1] = Rs.

Correct answer: Rs.21.60