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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 34 of 78

661. While selling the watch, a shopkeeper gives a discount of 5% if he gives a discount of 7 % he earns Rs. 15 less as profit. The marked price of the watch is:

  • A. Rs. 697.50
  • B. Rs. 712.50
  • C. Rs. 787.50
  • D. None of these

Explanation: The discount changes by 7% - 5% = 2% of the marked price, and this reduces profit by Rs. 15, so 2% of the marked price = Rs. 15.

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Correct answer: None of these

662. A Shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed. The ratio of the cost price and the printed price of the book is:

  • A. 45:56
  • B. 50:61
  • C. 99:125
  • D. None of these

Explanation: If the printed price is Rs. 100, a 10% discount gives a selling price of Rs. 90; this is 112% of the cost price, so cost price = Rs.

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Correct answer: 45:56

663. A retailer buys a sewing machine at a discount of 15% and sells it for Rs. 1955. Thus, he makes a profit of 15%. The discount is:

  • A. Rs. 270
  • B. Rs. 290
  • C. Rs. 300
  • D. None of these

Explanation: A selling price of Rs. 1,955 at a 15% profit means the cost price is Rs. 1,955 / 1.15 = Rs. 1,700.

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Correct answer: Rs. 300

664. An umbrella marked at Rs. 80 is sold for Rs. 68. The rate of discount is:

  • A. 15%
  • B. 12%
  • C. 17 11/17%
  • D. 20 %

Explanation: The discount is Rs. 80 - Rs. 68 = Rs. 12. Therefore, discount rate = Rs. 12 / Rs.

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Correct answer: 15%

665. Kabir buys an article with 25% discount on its marked price. He makes a profit of 10 % by selling it at Rs. 660. The marked price is :

  • A. Rs. 600
  • B. Rs. 700
  • C. Rs. 800
  • D. Rs. 685

Explanation: The selling price of Rs. 660 is 110% of the cost price, so the cost price is Rs. 660 / 1.10 = Rs. 600.

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Correct answer: Rs. 800

666. A discount series of 10%, 20% and 40% is equal to a single discount of:_________?

  • A. 50%
  • B. 56.8%
  • C. 60%
  • D. 70.28%Everyday Science Quiz

Explanation: Successive discounts leave 90% x 80% x 60% = 43.2% of the original price.

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Correct answer: 56.8%

667. At what price must kashif sell a mixture of 80 kg sugar at Rs. 6.75 per kg with 120 kg at Rs. 8 per kg to gain 20%?

  • A. Rs. 7.50 per kg
  • B. Rs. 8.20 per kg
  • C. Rs. 8.85 per kg
  • D. Rs. 9 per kg

Explanation: The mixture costs 80 kg x Rs. 6.75/kg + 120 kg x Rs. 8/kg = Rs. 1,500 for 200 kg, so its cost per kilogram is Rs. 1,500 / 200 kg = Rs.

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Correct answer: Rs. 9 per kg

668. A person bought an article and sold it at a loss of 10 % if he had bought it for 20 % less and sold it for Rs. 55 more he would have had a profit of 40 %. The C.P of the article is:

  • A. Rs. 200
  • B. Rs. 225
  • C. Rs. 250
  • D. None of these

Explanation: Let the original cost price be Rs. x, so the original selling price is Rs. 0.90x. In the alternative case, the cost is Rs.

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Correct answer: Rs. 250

669. The cost price of an article which on being sold at a gain of 12 % yields Rs. 6 more than when it is sold at a loss of 12 % is:

  • A. Rs. 30
  • B. Rs. 25
  • C. Rs. 24
  • D. Rs. 20

Explanation: Let the cost price be x rupees. The difference between selling at 12% gain and 12% loss is 24% of x, so 0.24x = Rs. 6 and x = Rs. 25.

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Correct answer: Rs. 25

670. A man sells a car to his friend at 10 % loss. If the friend sells it for Rs. 54000 and gains 20 %. The original C.P of the car was:_________?

  • A. Rs. 25000
  • B. Rs. 37500
  • C. Rs. 50000
  • D. Rs. 60000

Explanation: The friend's cost price was Rs. 54,000 ÷ 1.20 = Rs. 45,000. This was the first man's selling price, which was 90% of his original cost…

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Correct answer: Rs. 50000

671. Profit after selling a commodity for Rs. 425 is same as loss after selling it for Rs.355. The cost of the commodity is:________?

  • A. Rs. 385
  • B. Rs. 390
  • C. Rs. 395
  • D. Rs. 400

Explanation: If the cost price is x rupees, equal profit and loss give Rs. 425 - x = x - Rs. 355. Thus 2x = Rs. 780 and x = Rs. 390.

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Correct answer: Rs. 390

672. A merchant sold his goods for Rs. 75 at a profit percent equal to C.P. The C.P was:________?

  • A. Rs. 40
  • B. Rs. 50
  • C. Rs. 60
  • D. Rs. 70

Explanation: Let the cost price be x rupees. Since the profit percentage has the same numerical value as the C.P., profit = x²/100 rupees, and the…

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Correct answer: Rs. 50

673. A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20 % and the cow at a gain of 20 %. The entire transaction resulted in___________?

  • A. No loss or gain
  • B. Loss of Rs. 1000
  • C. Gain of Rs. 1000
  • D. Gain of Rs. 2000

Explanation: For the horse, Rs. 12,000 is 80% of its cost price, so its C.P. was Rs. 12,000 ÷ 0.80 = Rs. 15,000. For the cow, Rs.

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Correct answer: Loss of Rs. 1000

674. A man sold two houses for Rs. 7.8 lakhs each. On the one, he gained 5% and on the other, he lost 5%. What percent is the effect of the sale on the whole?

  • A. 0.25 % loss
  • B. 0.25 % gain
  • C. 25% loss
  • D. 25% gain

Explanation: The first house cost Rs. 780,000 ÷ 1.05 = Rs. 742,857.14, while the second cost Rs. 780,000 ÷ 0.95 = Rs. 821,052.63. Total C.P. = Rs.

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Correct answer: 0.25 % loss

675. A owns a house worth Rs. 10000. He sells it to B at a profit of 10% based on the worth of the house. B sells the house back to A at a loss of 10% in this transaction A gets:

  • A. No profit No loss
  • B. Profit of Rs. 1000
  • C. Profit of Rs. 1100
  • D. Profit of Rs. 2000

Explanation: A sells the house for Rs. 10,000 × 1.10 = Rs. 11,000. B then sells it back for Rs. 11,000 × 0.90 = Rs. 9,900, so A receives Rs.

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Correct answer: Profit of Rs. 1100

676. Ramees bought 4 dozen apples at Rs. 12 per dozen and 2 dozen apples at Rs. 16 per dozen. He sold all of them to earn 20%. At what price per dozen did he sell the apples?

  • A. Rs. 14.40
  • B. Rs. 16.00
  • C. Rs. 16.80
  • D. Rs. 19.20

Explanation: The total cost is 4 dozen × Rs. 12 = Rs. 48 plus 2 dozen × Rs. 16 = Rs. 32, giving Rs. 80 for 6 dozen. Cost per dozen = Rs.

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Correct answer: Rs. 16.00

677. Jameel bought paper sheets for Rs. 7200 and spent Rs. 200 on transport. Paying Rs 600 he had 330 boxes made. Which he said at Rs. 28 each. What is his profit Percentage?

  • A. 15.5
  • B. 40
  • C. 60
  • D. None of these

Explanation: Total cost = Rs. 7,200 + Rs. 200 + Rs. 600 = Rs. 8,000. Total selling price = 330 × Rs. 28 = Rs. 9,240, so profit = Rs. 9,240 - Rs.

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Correct answer: 15.5

678. By selling 12 oranges for one rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

  • A. 5
  • B. 8
  • C. 10
  • D. 15

Explanation: Selling 12 oranges for Rs. 1 at a 20% loss means their cost is Rs. 1 ÷ 0.80 = Rs. 1.25.

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Correct answer: 8

679. A dealer professing to sell at cost price uses a 900 gms weight for a kilogram. His gain percent is:________?

  • A. 9
  • B. 10
  • C. 11
  • D. 11 1/9

Explanation: He charges the cost price of 1,000 grams but supplies only 900 grams. If 900 grams costs Rs. 90, he collects Rs. 100, so profit is Rs.

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Correct answer: 11 1/9

680. A man sold 20 articles for Rs. 60 and gained 20%. How many articles did he buy for Rs.60?

  • A. 22
  • B. 24
  • C. 25
  • D. 26

Explanation: Selling 20 articles for Rs. 60 at a 20% gain means their total cost was Rs. 60 ÷ 1.20 = Rs. 50. Therefore, each article cost Rs.

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Correct answer: 24
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