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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 26 of 53

501. An article is bought for Rs.675 and sold for Rs.900, find the gain percent?

  • A. 16 2/3%
  • B. 30%
  • C. 33 1/3%
  • D. 33 1/6%Everyday Science Quiz

Explanation: The gain is Rs.900 - Rs.675 = Rs.225. Gain percent = Rs.225/Rs.675 x 100 = 1/3 x 100 = 33 1/3%.

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Correct answer: 33 1/3%

502. A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?

  • A. 16 2/3%
  • B. 20%
  • C. 18%
  • D. 25%

Explanation: The gain is Rs.1,080 - Rs.900 = Rs.180. Gain percent = Rs.180/Rs.900 x 100 = 20%.

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Correct answer: 20%

503. If Mobeen while selling two goats at the same price makes a profit of 10% on one goat and suffers a loss of 10% on the other, he

  • A. Makes no profit and no loss
  • B. Makes a profit of 1%
  • C. Suffers a loss of 1%
  • D. Suffers a loss of 2%

Explanation: Take the selling price of each goat as Rs. 100. The cost prices are Rs. 100 ÷ 1.10 = Rs. 90.91 and Rs. 100 ÷ 0.90 = Rs.

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Correct answer: Suffers a loss of 1%

504. A dishonest dealer claims to sell his goods at the cost price but uses a false weight of 900 gm for 1 kg what is his gain percent?

  • A. 13 %
  • B. 11 1/9 %
  • C. 11.25 %
  • D. 12 1/9 %

Explanation: For every 1 kg sold, the dealer actually supplies only 900 g, whose cost is 0.9 times the cost of 1 kg.

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Correct answer: 11 1/9 %

505. In a partnership for a business, Changaz invests Rs.6000 for complete year & Nasir invests Rs.3000 for 6 months. What is Nasir's share if they earn Rs.240 as profit?

  • A. 120
  • B. 80
  • C. 192
  • D. 48

Explanation: Partnership shares depend on capital multiplied by time: Changaz has Rs.6000 × 12 months = Rs.72000-months, while Nasir has Rs.3000 × 6…

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Correct answer: 48

506. Find the cost of 96 shares of Rs. 10 each at (3/4) discount, brokerage being(1/4) per share.

  • A. 812
  • B. 912
  • C. 1012
  • D. 1112

Explanation: The face value of 96 shares is 96 x Rs. 10 = Rs. 960. The discount is 96 x Rs. 0.75 = Rs. 72 and brokerage is 96 x Rs. 0.25 = Rs.

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Correct answer: 912

507. A 6% stock yields 8%. The market value of the stock is:___________?

  • A. Rs. 48
  • B. Rs. 75
  • C. Rs. 96
  • D. Rs. 133.33

Explanation: For Rs. 100 face value, a 6% stock pays Rs. 6 income annually. If the yield is 8%, its market value is Rs. 6 x 100/8 = Rs. 75.

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Correct answer: Rs. 75

508. In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of___________?

  • A. Rs. 6240
  • B. Rs.3100
  • C. Rs.6500
  • D. Rs.9600

Explanation: A 10% stock must have a face value of Rs. 6500 to produce Rs. 650 income, because Rs. 6500 x 10/100 = Rs. 650.

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Correct answer: Rs. 6240

509. By investing Rs. 1620 in 8% stock, Maria earns Rs. 135. The stock is then quoted at:_________?

  • A. 80
  • B. 96
  • C. 106
  • D. 108Educational Resources

Explanation: The face value of stock producing Rs. 135 at 8% is Rs. 135 x 100/8 = Rs. 1687.50. Since the investment is Rs. 1620, the quotation is Rs.

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Correct answer: 96

510. Find the annual income derived from Rs. 2500, 8% stock at 106.

  • A. 100
  • B. 150
  • C. 200
  • D. 250

Explanation: The stated Rs. 2500 is the nominal value of the 8% stock, so its annual income is Rs. 2500 x 8/100 = Rs. 200.

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Correct answer: 200

511. A man invests in a 16% stock at 128. The interest obtained by him is:____________?

  • A. 16%
  • B. 12.5%
  • C. 8%
  • D. 12%

Explanation: A 16% stock pays Rs. 16 income for every Rs. 100 face value. When purchased at Rs. 128, the return on investment is 16/128 x 100 = 12.5%.

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Correct answer: 12.5%

512. Find the cash required to purchase Rs. 3200, 7(1/2) % stock at 107(brokerage (1/2) %).

  • A. 3440
  • B. 4440
  • C. 5440
  • D. 6440

Explanation: The price of Rs. 3200 stock at 107 is Rs. 3200 x 107/100 = Rs. 3424. Brokerage at 1/2% of the nominal stock value is Rs.

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Correct answer: 3440

513. The S.I. on a certain sum of money for 3 years at 8% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is________?

  • A. Rs. 1550
  • B. Rs. 1650
  • C. Rs. 1750
  • D. Rs. 2000

Explanation: The compound interest on Rs. 4000 for 2 years at 10% is Rs. 4000[(1.10)^2 - 1] = Rs. 840, so half of it is Rs. 420.

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Correct answer: Rs. 1750

514. The C.I. on a certain sum for 2 years at 10% per annum is Rs. 525. The S.I. on the same sum for double the time at half the rate percent per annum is________?

  • A. Rs. 400
  • B. Rs. 500
  • C. Rs. 600
  • D. Rs. 800

Explanation: For 2 years at 10%, compound interest is P[(1.10)^2 - 1] = 0.21P = Rs. 525, so P = Rs. 2500.

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Correct answer: Rs. 500

515. If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is________?

  • A. Rs. 400
  • B. Rs. 450
  • C. Rs. 460
  • D. Rs. 480

Explanation: At 12.5% for 2 years, compound interest is P[(1.125)^2 - 1] = 0.265625P = Rs. 510, giving P = Rs. 1920.

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Correct answer: Rs. 480

516. The principal that amounts to Rs. 4913 in 3 years at 6 1/4 % per annum C.I. compounded annually, is_________??

  • A. Rs. 3096
  • B. Rs. 4076
  • C. Rs. 4085
  • D. Rs. 4096Education

Explanation: The amount factor for 6.25% compound interest over 3 years is (1.0625)^3 = (17/16)^3 = 4913/4096. Thus the principal is Rs.

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Correct answer: Rs. 4096Education

517. The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is_________?

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

Explanation: For 2 years, the compound interest on Rs. 30,000 at 7% is Rs. 30,000[(1.07)^2 - 1] = Rs. 30,000 x 0.1449 = Rs. 4347.

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Correct answer: 2

518. The difference between simple and compound interest on Rs. 1200 for one year at 10% per annum reckoned half-yearly is________?

  • A. Rs. 2.50
  • B. Rs. 3
  • C. Rs. 3.75
  • D. Rs. 4

Explanation: With half-yearly compounding, the rate per half-year is 5% and there are 2 periods in 1 year. Compound interest is Rs.

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Correct answer: Rs. 3

519. What will be the difference between simple and compound interest at 10% per annum on a sum of Rs. 1000 after 4 years?

  • A. Rs. 31
  • B. Rs. 32.10
  • C. Rs. 40.40
  • D. Rs. 64.10

Explanation: Compound interest after 4 years is Rs. 1000[(1.10)^4 - 1] = Rs. 464.10, whereas simple interest is Rs. 1000 x 10 x 4 / 100 = Rs. 400.

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Correct answer: Rs. 64.10

520. If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same sum at the rate and for the same time?

  • A. Rs. 51.25
  • B. Rs. 52
  • C. Rs. 54.25
  • D. Rs. 60

Explanation: From simple interest, Rs. 50 = P x 5 x 2 / 100, so the principal is P = Rs. 500. Compound interest for 2 years is Rs.

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Correct answer: Rs. 51.25
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