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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 21 of 53

401. 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 %

402. 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%

403. 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

404. 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

405. 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%

406. 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

407. 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

408. 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

409. 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%

410. 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%

411. 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

412. 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

413. 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

414. 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%

415. 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

416. 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%

417. 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

418. 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

419. 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

420. 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
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