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Free Arithmetic MCQs with Answers

1,060 Arithmetic MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Arithmetic applies numerical operations to percentages, ratios, proportions, profit and loss, averages, and practical rate problems. Questions also involve time, speed and distance, and time and work, requiring careful use of units, direct and inverse relationships, weighted values, and work-rate methods rather than algebraic manipulation.

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1,060 questions · page 14 of 53

261. To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is:_________?

  • 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.

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Correct answer: Rs. 10000

262. A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:_________?

  • 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.

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Correct answer: 15

263. A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investments, at what price did he buy the shares?

  • 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.

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Correct answer: Rs.40

264. A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is__________?

  • 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.

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Correct answer: 8%

265. A man sells Rs.5000, 12 % stock at 156 and uinvests the proceeds parity in 8 % stock at 90 and 9 % stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?

  • 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.

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Correct answer: 3600(8%), 4200(9%)

266. A 9% stock yields 8%. The market value of the stock is__________?

  • 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.

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Correct answer: Rs. 112.50

267. A man invested Rs. 14,400 in Rs.100 shares of a company at 20% premium. If the company declares 5% dividend at the end of the year , then how much does he get?

  • 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.

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Correct answer: Rs. 600

268. Find the income derived from 88 shares of Rs. 25 each at 5 premium, brokerage being (1/4) per share and the rate of dividend being 7(1/2) % per annum.

  • 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.

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Correct answer: 165

269. How many shares of market value Rs. 25 each can be purchased for Rs. 12750, brokerage being 2% ?

  • 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.

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Correct answer: 500

270. A man buys Rs. 50 shares in a company which pays 10% dividend. If the man gets 12.5% on his investment, at what price did he buy the shares ?

  • 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.

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Correct answer: Rs. 40

271. Hafeez invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Hafeez at the end of the year will be?

  • 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.

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Correct answer: Rs. 16,537.50

272. What will be the compound interest on a sum of Rs. 25,000 after 3 years at the rate of 12% p.a.?

  • 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.

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Correct answer: Rs. 10123.20

273. Shohaib invested Rs. 8000 in a scheme for 2 years at compound interest rate 5% p.a. How much amount will Shohaib get on maturity of the fixed deposit?

  • 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.

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Correct answer: None of these

274. Afnan wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?

  • 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.

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Correct answer: Rs.21.60

275. What is the difference between the compound interest on Rs.12000 at 20% p.a. for one year when compounded yearly and half yearly?

  • 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.

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Correct answer: Rs.120

276. The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.

  • 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.

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Correct answer: Rs.17000

277. A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum?

  • 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.

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Correct answer: Rs.7500

278. The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)

  • 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.

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Correct answer: Rs.20043.94

279. A man gets a simple interest of Rs.500 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.

  • 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.

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Correct answer: None of these.

280. A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.

  • 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.

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Correct answer: Rs.3120
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