Profit/Loss & Discount

J&K Bank PO · Quantitative Aptitude · 109 practice questions with answers and explanations: 48 Easy, 59 Medium, 2 Hard.

Sample questions

Sample Easy question 1

What should be the selling price (in ₹) of an article costing ₹500 to earn a profit of 40%?

  1. 700
  2. 750
  3. 540
  4. 300
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Answer: A. SP = 500 × (100 + 40)/100 = ₹700.

Sample Easy question 2

A shopkeeper sells an article for ₹2400 and earns a profit of 20%. What is the cost price (in ₹)?

  1. 2050
  2. 2380
  3. 1920
  4. 2000
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Answer: D. CP = SP × 100/(100 + 20) = 2400 × 100/120 = ₹2000.

Sample Easy question 3

The marked price of an article is ₹2500 and a discount of 30% is given. What is the selling price (in ₹)?

  1. 2470
  2. 1800
  3. 1750
  4. 3250
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Answer: C. Discount = 30% of 2500 = ₹750; SP = 2500 − 750 = ₹1750.

Sample Medium question 4

A marked price of Rs. 500 is given two successive discounts of 20% and 10%. Find the final selling price.

  1. 365
  2. 360
  3. 350
  4. 355
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Answer: B. After 20% discount: 500 × 0.80 = 400. After 10% more: 400 × 0.90 = 360.

Sample Medium question 5

The cost price of 12 articles equals the selling price of 10 articles. Find the profit percentage.

  1. 20%
  2. 15%
  3. 25%
  4. 18%
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Answer: A. Let CP of 1 article = 1. CP of 12 = 12 = SP of 10, so SP of 1 = 1.2. Profit % = (1.2-1)/1 × 100 = 20%.

Sample Medium question 6

The cost price of 15 articles equals the selling price of 12 articles. Find the profit percentage.

  1. 22%
  2. 20%
  3. 28%
  4. 25%
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Answer: D. Let CP of 1 = 1. CP of 15 = 15 = SP of 12, so SP of 1 = 1.25. Profit % = 25%.

Sample Hard question 7

By selling 45 lemons for Rs. 40, a man loses 20%. How many lemons should he sell for Rs. 24 to gain 20%?

  1. 15
  2. 18
  3. 16
  4. 20
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Answer: B. Cost of 45 lemons = 40/0.8 = 50, cost per lemon = 10/9. For a 20% gain on Rs. 24, cost needed = 24/1.2 = 20, so lemons = 20 ÷ (10/9) = 18.

Sample Hard question 8

A retailer buys a radio for Rs. 225 and sells it at a loss equal to what he would have gained by selling it for Rs. 320. Find the cost price he actually paid relative to a selling price giving no profit no loss.

  1. 275
  2. 280
  3. 272.50
  4. 277.50
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Answer: C. If loss at Rs. 225 equals gain at Rs. 320, the no-profit-no-loss price is the average: (225+320)/2 = 272.50.

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