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

A shopkeeper sold two articles for Rs. 4800 each. He earned a profit of 20% on the first article and experienced a loss of 20% on the second article. What was his overall profit/loss percent?

  1. 4% Loss

  2. 4% Profit

  3. No profit, no loss

  4. 20% Loss

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

When two articles are sold at the same price with the same percentage of profit and loss, the overall result is always a loss calculated by (x^2 / 100)%. Here, (20^2 / 100) = 400 / 100 = 4% loss.

Multiple choice

A bookseller marks his books at a price 69% above the actual cost price. He allows a discount of 15% and also gives a copy free for every dozen sold at a time. If the books are sold in lots of 12, then what percent profit does the bookseller make?

  1. 32.6%

  2. 35.7%

  3. 42.8%

  4. 44.5%

  5. 47.2%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100. Marked price = 169. Selling price after 15% discount = 169 * 0.85 = 143.65. For every 12 books sold, the customer gets 13 books (1 free). Total CP for 13 books = 1300. Total Revenue = 12 * 143.65 = 1723.8. Profit percent = (1723.8 - 1300) / 1300 = 423.8 / 1300 = 32.6%.

Multiple choice

Quantity I: Overall profit percentage if the cost prices of two shirts are equal. One shirt is sold for 20% profit and the other is sold for 10% loss. Quantity II: Profit % made in selling each meter if the profit made in selling 20 m of a cloth equals the cost price of 5 m of that cloth

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity I: Selling two items with equal cost at 20% profit and 10% loss results in a net profit of (20-10)/2 = 5%. Quantity II: Profit on 20m equals cost of 5m means 20(SP - CP) = 5CP, so 20SP = 25CP, implying SP = 1.25CP, which is a 25% profit. Since 5% < 25%, Quantity I < Quantity II.

Multiple choice

What was the per cent profit/loss made/incurred by selling an article for Rs.24000? I. The ratio between the selling price and the cost price of the articles is 5:3 respectively. II. The difference between the cost price and the selling price is Rs.9600.

  1. 1

  2. 2

  3. 3

  4. 4

  5. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I gives the ratio SP:CP = 5:3, which is sufficient to calculate profit percentage (profit = 2/3 = 66.6%). Statement II gives the difference, which allows calculating the actual values but is also sufficient to find the ratio if combined with the SP. Since I alone is sufficient, A is correct.

Multiple choice

Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer (a) x ≥ y (b) x ≤ y (c) x y (e) x = y or Relationship between x and y cannot be established The shopkeeper marks the price of a tie in such a way that after giving a discount of 50% he gains a profit of 20% by selling the tie. If cost price of tie is Rs.150 (x) Marked price of tie. (y) 400

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Monu bought 100 cars and sold 25% of them at a profit of 20%, 20% of the remaining at a loss of 20% and the rest of the cars at the same price at which he bought. If he gained Rs. 5,00,000, then find the cost price of one car.

  1. Rs. 2 lakh

  2. Rs. 2.5 lakh

  3. Rs. 20 lakh

  4. Rs. 25 lakh

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP of one car be x. Total CP = 100x. 25 cars sold at 20% profit (0.20x * 25 = 5x). 15 cars (20% of 75) sold at 20% loss (-0.20x * 15 = -3x). 60 cars sold at CP (0 profit). Total gain = 5x - 3x = 2x. Given 2x = 5,00,000, so x = 2,50,000 (2.5 lakh).

Multiple choice

Chetan purchased a watch and sold it to Abhay and made a profit of 10%, Abhay sold the same watch to Preet and made a profit of 25%. Preet sold that watch to Riya at a loss of 20%. Riya paid Rs. 616 for that watch. What would be the profit percentage for Chetan if Riya would have purchased that watch directly from him at the same price she has paid?

  1. 5%

  2. 10%

  3. 12%

  4. 15%

  5. 18%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Chetan's cost price be C. Abhay buys at 1.1C, Preet buys at 1.1C * 1.25 = 1.375C, Riya buys at 1.375C * 0.8 = 1.1C. Since 1.1C = 616, C = 560. If Riya bought from Chetan at 616, Chetan's profit is (616-560)/560 = 56/560 = 10%.