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All Free Mathematics MCQs with Answers

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1,551 questions · page 36 of 78

701. A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be:________?

  • A. 40
  • B. 100
  • C. 120
  • D. 140

Explanation: A 20% gain means the original selling price is 120% of cost price, or Rs. 1.20C for cost Rs. C. At double that price, selling price is Rs.

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Correct answer: 140

702. The ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?

  • A. 2:7
  • B. 5:2
  • C. 7:2
  • D. Data inadequate
  • E. None of these

Explanation: With selling price : cost price = 7:5, the profit is 7 - 5 = 2 parts. Therefore profit : cost price = 2:5, which is not listed, so the…

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Correct answer: None of these

703. The ratio of the cost price and the selling price is 4:5. The profit percent is:__________?

  • A. 10%
  • B. 20%
  • C. 25%
  • D. 30%

Explanation: Let the cost price be 4 parts and the selling price be 5 parts, so the profit is 1 part. Profit percentage = (1/4) x 100 = 25%.

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Correct answer: 25%

704. Jameel brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?

  • A. Rs. 400
  • B. Rs. 440
  • C. Rs. 500
  • D. Rs. 550

Explanation: Let the purchase cost be C. Including repairs, the total cost is C + 10% of C = 1.10C, and a 20% profit on this total gives 0.20 x 1.10C =…

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Correct answer: Rs. 500

705. The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is:

  • A. Rs. 500
  • B. Rs. 515
  • C. Rs. 550
  • D. Rs. 600

Explanation: The price before 10% sales tax is Rs. 616 ÷ 1.10 = Rs. 560. This is the selling price, so with a 12% profit the cost price is Rs.

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Correct answer: Rs. 500

706. Samad purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?

  • A. 3.5
  • B. 4.5
  • C. 5.6
  • D. 6.5

Explanation: Twenty dozens contain 20 x 12 = 240 toys, and their cost is 20 x Rs. 375 = Rs. 7500. Total sales are 240 x Rs. 33 = Rs.

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Correct answer: 5.6

707. A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.50 per kg. What will be his gain percent?

  • A. 4 1/6 %
  • B. 6 1/6 %
  • C. 8 1/3 %
  • D. 20 %

Explanation: The selling price is 70 kg x Rs. 6.50 per kg = Rs. 455, while the cost price is Rs. 420. Gain = Rs. 455 - Rs. 420 = Rs.

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Correct answer: 8 1/3 %

708. The successive discounts 20% and 15% are equal to a single discount of__________?

  • A. 35%
  • B. 38%
  • C. 32%
  • D. 29%
  • E. None of these

Explanation: After a 20% discount, 80% of the marked price remains; after a further 15% discount, 85% of that remains.

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Correct answer: 32%

709. Mahad marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 496.80?

  • A. 18%
  • B. 21%
  • C. 20%
  • D. 19%
  • E. None of these

Explanation: The marked price is Rs. 540 x 1.15 = Rs. 621. The discount is Rs. 621 - Rs. 496.80 = Rs. 124.20, so discount percentage = (Rs.

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Correct answer: 20%

710. An article was sold after a discount of 20% and there was a gain of 20%. If the profit made on it was Rs. 6 less than the discount offered on it, find its selling price?

  • A. Rs. 72
  • B. Rs. 90
  • C. Rs. 66
  • D. Rs. 96
  • E. None of these

Explanation: Let the cost price be C. A 20% gain makes the selling price 1.20C, and a 20% discount means the marked price is 1.20C ÷ 0.80 = 1.50C, so…

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Correct answer: Rs. 72

711. A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?

  • A. No profit No loss
  • B. 4% profit
  • C. 2% loss
  • D. 2% profit
  • E. None of these

Explanation: If the cost price is Rs. 100, the marked price is Rs. 120. A 20% discount gives a selling price of Rs. 120 x 0.80 = Rs.

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Correct answer: None of these

712. Mahad sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?

  • A. Rs. 15000
  • B. Rs. 16200
  • C. Rs. 14700
  • D. Rs. 15900
  • E. None of these

Explanation: After a 10% discount on Rs. 18000, the actual selling price is Rs. 18000 x 0.90 = Rs. 16200.

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Correct answer: Rs. 15000

713. Rayyan purchased a refrigerator and a mobile phone for Rs. 15000 and Rs. 8000 respectively. He sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. Overall he make a________?

  • A. loss of Rs. 200
  • B. loss of Rs. 100
  • C. profit of Rs. 100
  • D. profit of Rs. 200
  • E. None of these

Explanation: The refrigerator sells for Rs. 15000 x 0.96 = Rs. 14400, and the mobile phone sells for Rs. 8000 x 1.10 = Rs. 8800. Total cost is Rs.

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Correct answer: profit of Rs. 200

714. A shopkeeper sells 400 metres of cloth for Rs. 18000 at a loss of Rs.5 per metre. Find his cost price for one metre of cloth?

  • A. Rs. 45
  • B. Rs. 40
  • C. Rs. 35
  • D. Rs. 50
  • E. None of these

Explanation: The selling price per metre is Rs. 18000 ÷ 400 = Rs. 45. Since the loss is Rs. 5 per metre, the cost price per metre is Rs. 45 + Rs.

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Correct answer: Rs. 50

715. The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?

  • A. Rs. 1,10,000
  • B. Rs. 1,20,000
  • C. Rs. 1,24,000
  • D. Rs. 1,21,000
  • E. None of these

Explanation: After one year the value is Rs. 150000 x 0.80 = Rs. 120000, and after two years it is Rs. 120000 x 0.80 = Rs. 96000.

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Correct answer: Rs. 1,20,000

716. After allowing a discount of 15% on the marked price, the selling price is Rs. 6800 for an article. If it was sold at marked price, there would have been a profit of 60%. The cost price of the article is?

  • A. Rs. 6400
  • B. Rs. 5600
  • C. Rs. 5000
  • D. Rs. 4800
  • E. None of these

Explanation: A 15% discount leaves 85% of the marked price, so the marked price is Rs. 6800 ÷ 0.85 = Rs. 8000.

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Correct answer: Rs. 5000

717. A shopkeeper sells 20% of his stock at 10% profit ans sells the remaining at a loss of 5%. He incurred an overall loss of Rs. 400. Find the total worth of the stock?

  • A. Rs. 25000
  • B. Rs. 20000
  • C. Rs. 15000
  • D. Rs. 22000
  • E. None of these

Explanation: On 20% of the stock, the profit is 10% x 20% = 2% of the total cost; on the remaining 80%, the loss is 5% x 80% = 4% of the total cost.

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Correct answer: Rs. 20000

718. A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss?

  • A. Rs. 20
  • B. Rs. 15
  • C. Rs. 22.50
  • D. Rs. 7.50
  • E. None of these

Explanation: Twenty dozens contain 240 bananas, costing 20 x Rs. 15 = Rs. 300. After one-fourth rots, 180 bananas remain; two-thirds means 120 bananas…

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Correct answer: Rs. 15

719. By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?

  • A. 33 1/3%
  • B. 50%
  • C. 25%
  • D. 66 2/3%
  • E. None of these

Explanation: Let the cost of one pen be C, so the cost of 99 pens is Rs. 99C. The gain is the cost of 33 pens, or Rs. 33C, hence gain percentage = (Rs.

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Correct answer: 33 1/3%

720. If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is_______?

  • A. 1.44% loss
  • B. 14.4% profit
  • C. 14.4% loss
  • D. 0%
  • E. None of these

Explanation: Let the selling price of each car be Rs. 325475. The cost prices are Rs. 325475/1.12 = Rs. 290602.68 and Rs. 325475/0.88 = Rs. 369 modules?

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Correct answer: 1.44% loss
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