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All Free Mathematics MCQs with Answers

Every Mathematics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.

1,551 questions · page 33 of 78

641. You deposit $600 into a 6 month certificate of deposit. After 6 months the balance is $618. Find the simple annual interest rate

  • A. 6%
  • B. 5%
  • C. 7%
  • D. 8%Credit & Lending

Explanation: The interest earned is $618 - $600 = $18 over 6 months, or 0.5 year. Using simple interest, the annual rate is $18/($600 x 0.5 year) =…

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Correct answer: 6%

642. How long will it take for a sum of money to grow from Rs.1250 to Rs.10,000, if it is invested at 12.5% p.a simple interest?

  • A. 65 years
  • B. 56 years
  • C. 45 years
  • D. 57 years

Explanation: The required interest is Rs. 10,000 - Rs. 1250 = Rs. 8750. With a rate of 12.5% per annum, time = Rs. 8750/(Rs. 1250 x 0.125) = 56 years.

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Correct answer: 56 years

643. What is the rate of interest at which Rs.150 becomes Rs. 220 in 10 years.

  • A. 11/3%
  • B. 14/3%
  • C. 12%
  • D. 14%

Explanation: The interest earned is Rs. 220 - Rs. 150 = Rs. 70 over 10 years. Thus, the annual rate is Rs. 70/(Rs.

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Correct answer: 14/3%

644. A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is :________?

  • A. Rs. 700
  • B. Rs. 690
  • C. Rs. 650
  • D. Rs. 698

Explanation: The increase from 3 years to 4 years is Rs. 854 - Rs. 815 = Rs. 39, so the simple interest for 1 year is Rs. 39.

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Correct answer: Rs. 698

645. A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher rate, it would have fetched Rs 360 more. Find the sum.

  • A. Rs.4000
  • B. Rs.9000
  • C. Rs.5000
  • D. Rs.6000

Explanation: The extra interest from a 2 percentage-point increase over 3 years is principal x 0.02 x 3 years = principal x 0.06.

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Correct answer: Rs.6000

646. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

  • A. 5%
  • B. 8%
  • C. 12%
  • D. 15%

Explanation: The increase over the extra 3 years is Rs. 12,005 - Rs. 9800 = Rs. 2205, so yearly interest is Rs. 2205/3 years = Rs. 735 per year.

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Correct answer: 12%

647. A sum of Rs. 2500 amounts to Rs. 3875 in 4 years at the rate of simple interest. What is the rate of interest?

  • A. 12.25%
  • B. 12%
  • C. 6%
  • D. 13.75%

Explanation: The simple interest is Rs. 3875 - Rs. 2500 = Rs. 1375 over 4 years. The rate is Rs. 1375/(Rs. 2500 x 4 years) x 100 = 13.75% per annum.

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Correct answer: 13.75%

648. A sum of money becomes 7⁄5 of itself in 4 years at a certain rate of simple interest. The rate per annum is :

  • A. 9%
  • B. 10%
  • C. 11%
  • D. 12%Primary & Secondary Schooling (K-12)

Explanation: An amount of 7/5 of the principal means the interest is 7/5 - 1 = 2/5, or 40% of the principal, over 4 years.

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Correct answer: 10%

649. A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

  • A. Rs.4500
  • B. Rs.5200
  • C. Rs.1800
  • D. Rs.3000

Explanation: A receives 30% of the total profit P for management, and the remaining 70% is divided in the capital ratio 5000:6000:4000 = 5:6:4.

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Correct answer: Rs.3000

650. The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%.

  • A. 37.5 %
  • B. 38.5 %
  • C. 42 %
  • D. 27.5 %Education

Explanation: Take the marked price as Rs.100, so the cost price is 64% of Rs.100 = Rs.64.

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Correct answer: 37.5 %

651. A trader marked the selling price of an article at 10% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :

  • A. 10 %
  • B. 10.5 %
  • C. 11 %
  • D. 12.5 %

Explanation: Take the cost price as Rs. 100, so the marked price is Rs. 110 and the selling price after a 1% loss is Rs. 99. The discount is (Rs.

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Correct answer: 10 %

652. A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

  • A. No profit, no loss
  • B. 5%
  • C. 8%
  • D. 10%Educational Resources

Explanation: The total cost is 26 kg x Rs. 20/kg + 30 kg x Rs. 36/kg = Rs. 1,600, and the selling price is 56 kg x Rs. 30/kg = Rs. 1,680.

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Correct answer: 5%

653. When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

  • A. Rs. 21,000
  • B. Rs. 22,500
  • C. Rs. 25,300
  • D. Rs. 25,800

Explanation: Rs. 18,700 represents 85% of the cost price because the owner incurred a 15% loss, so cost price = Rs. 18,700 / 0.85 = Rs. 22,000.

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Correct answer: Rs. 25,300

654. On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:________?

  • A. Rs. 45
  • B. Rs. 50
  • C. Rs. 55
  • D. Rs. 60Computer Online Quiz

Explanation: If the cost price of one ball is Rs. x, the cost of 17 balls is Rs. 17x and the loss is Rs. 5x, so Rs. 720 = Rs. 17x - Rs. 5x = Rs. 12x.

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Correct answer: Rs. 60Computer Online Quiz

655. A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is:

  • A. 12%
  • B. 10%
  • C. 6%
  • D. 4%

Explanation: For a cost price of Rs. 100, the marked price is Rs. 120 and an 8% profit requires a selling price of Rs. 108. The discount is (Rs.

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Correct answer: 10%

656. A cloth merchant has announced 25% rebate in prices. If one needs to have a rebate of Rs. 40. Then how many shirts each costing Rs.32 he should purchase?

  • A. 6
  • B. 5
  • C. 10
  • D. 7

Explanation: The rebate on one Rs. 32 shirt is 25% x Rs. 32 = Rs. 8. To receive a total rebate of Rs. 40, the number of shirts is Rs. 40 / Rs.

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Correct answer: 5

657. The difference between a discount of 40% on Rs. 500 and two successive discount of 36% and 4% on the same amount is:________?

  • A. 0
  • B. Rs. 2
  • C. Rs. 1.93
  • D. Rs. 7.20

Explanation: A 40% discount on Rs. 500 leaves Rs. 500 x 60% = Rs. 300 to pay, whereas successive discounts leave Rs. 500 x 64% x 96% = Rs. 307.20.

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Correct answer: Rs. 7.20

658. A man purchases an electric heater whose printed price is 160 if he received two successive discounts of 20% and 10% he paid:

  • A. Rs. 112
  • B. Rs. 129.60
  • C. Rs. 119.60
  • D. Rs. 115.20

Explanation: Successive discounts are applied one after the other: Rs. 160 x 80% x 90% = Rs. 115.20. The likely wrong choice is Rs.

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Correct answer: Rs. 115.20

659. The marked price is 10% higher than the cost price. A discount of 10% is given on the marked price, in this kind of sale the seller

  • A. Bears no loss no gain
  • B. gains
  • C. loses 1%
  • D. None of these

Explanation: Let the cost price be Rs. 100, making the marked price Rs. 110. After a 10% discount, the selling price is Rs. 110 x 90% = Rs.

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Correct answer: loses 1%

660. A trader lists his articles 20% above C.P and allows a discount of 10% on cash payment. His gain percent is:

  • A. 10%
  • B. 8%
  • C. 5%
  • D. 6%

Explanation: Taking cost price as Rs. 100, the listed price is Rs. 120 and the cash selling price after a 10% discount is Rs. 120 x 90% = Rs. 108.

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Correct answer: 8%
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