Quantitative Aptitude

Profit, Loss and Discount

2,604 Questions
All Basic CP/SP Percentage Relationship 874 Marked Price, Markup, and Discount 786 Partial Sales and Multiple Transactions 338 Successive Discounts 218 Cost Price of X = Selling Price of Y 180 Faulty Weight or Measure 126 Equal Profit and Loss Rates 57 Free-item Offers 23 Price and Consumption Variation 1

Profit, Loss and Discount Questions

Multiple choice

If on an item, there is 12% discount on the marked price of Rs. 10,000, but the item is sold at Rs. 8,360 only, then what additional discount (in %) does the customer get?

  1. 6

  2. 7

  3. 5

  4. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The marked price is 10,000. After a 12% discount, the price is 10,000 * 0.88 = 8,800. The item is sold for 8,360. The additional discount is 8,800 - 8,360 = 440. As a percentage of the discounted price (8,800), this is (440 / 8,800) * 100 = 5%.

Multiple choice

A person sells a book at a profit of 10%. If he buys it at Rs. _____ less and sells for Rs. _____ more then he will gain 25%. The cost price of this book is Rs. 120. Which of the following options satisfies the two blanks in the question? (i) 12, 5 (ii) 20, 10 (iii) 12, 3 (iv) 15, 10

  1. Only (i)

  2. Only (ii)

  3. Only (iii)

  4. Only (iv)

  5. Only (ii) & (iv)
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

CP = 120. SP1 = 120 * 1.1 = 132. New CP = 120 - x, New SP = 132 + y. New Profit = 25%, so (132 + y) = 1.25 * (120 - x). 132 + y = 150 - 1.25x, so y + 1.25x = 18. Testing (iii) 12, 3: 3 + 1.25(12) = 3 + 15 = 18. This matches.

Multiple choice

Kirti bought a plot of land in the outer of the city for Rs. 32,50,000. She built a wall around it for which she spent Rs. 1,75,000. Then she wants to sell it at Rs. 40,00,000 by making an advertisement in the television which costs her Rs. 15,000. Find her approximate profit percent.

  1. 16.28%

  2. 13.27%

  3. 14.52%

  4. 15.25%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = 3250000 + 175000 + 15000 = 3440000. Selling price = 4000000. Profit = 560000. Profit % = (560000 / 3440000) * 100 = 16.279%.

Multiple choice

The selling price of an article is 60% more than the profit made. If the profit on the article increases by 20%, while the selling price increases by 60%, then what is the percentage increase in cost price of the article?

  1. 105.50%

  2. 111.33%

  3. 126.67%

  4. 133.33%

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let SP = S, Profit = P, CP = C. S = 1.6P. Since S = C + P, C = S - P = 1.6P - P = 0.6P. New Profit P' = 1.2P. New SP S' = 1.6S = 1.6(1.6P) = 2.56P. New CP C' = S' - P' = 2.56P - 1.2P = 1.36P. Percentage increase in CP = ((1.36P - 0.6P) / 0.6P) * 100 = (0.76 / 0.6) * 100 = 126.67%.

Multiple choice

The profit percent earned by a shopkeeper after selling an article is equal to 80% of its selling price. If the selling price of the article increases by 20% and its cost price increases by 40%, then what will be the new value of profit percent for the shopkeeper?

  1. 338.57%

  2. 328.57%

  3. 301.25%

  4. 278.25%

  5. 251.41%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let SP = 100. Profit = 80% of 100 = 80. CP = SP - Profit = 100 - 80 = 20. New SP = 100 * 1.2 = 120. New CP = 20 * 1.4 = 28. New Profit = 120 - 28 = 92. New Profit % = (92 / 28) * 100 = 328.57%.

Multiple choice

A shopkeeper buys 50 articles at some price, and sells 30 articles for x% profit and 20 articles for 20% loss. He makes a profit of 10% on all 50 articles. What would have been his percentage profit, if the shopkeeper had sold 20 articles for x% profit and remaining articles for (x + 5)% profit?

  1. 31%

  2. 33%

  3. 35%

  4. 37%

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total profit = (30*x - 20*20)/50 = 10 -> 30x - 400 = 500 -> 30x = 900 -> x = 30. New scenario: 20 articles at 30% profit, 30 articles at 35% profit. Total profit = (20*30 + 30*35)/50 = (600 + 1050)/50 = 1650/50 = 33%.