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 trader purchases a fridge on two successive discounts of 20% and 10% and spent Rs. 200 on transportation. Then, he sells it for a profit of 20%. If the marked price of the fridge for the trader is Rs. 15,000, what is the selling price of the fridge?

  1. Rs. 10,500

  2. Rs. 12,600

  3. Rs. 13,200

  4. Rs. 14,300

  5. Rs. 13,800
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Marked price = 15000. After 20% and 10% discounts, cost = 15000 * 0.8 * 0.9 = 10800. Adding 200 transportation, total cost = 11000. Selling price for 20% profit = 11000 * 1.2 = 13200.

Multiple choice

A college, while purchasing 500 books, gets a discount of 40%. If it distributes 1/5 of the books (free of cost) to the students belonging to the economically weaker section free and sells the rest through its book shop at 10% discount, find the college's profit/loss percent.

  1. 25% profit

  2. 10% loss

  3. No profit, no loss

  4. 20% profit

  5. 49% loss
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost of 500 books = 500 * (1 - 0.4) = 300 units. 1/5 of 500 = 100 books given free. Remaining 400 books sold at 10% discount (0.9 price). Revenue = 400 * 0.9 = 360 units. Profit = 360 - 300 = 60. Profit % = (60/300) * 100 = 20%.

Multiple choice

Directions: In the following question, you have to find out which of the following statements is/are redundant for determining the answer of the given question or can be dispensed with. An article is sold at 50% discount. What is its cost? (i) If the article is sold at Rs. 500 less, then there would be no loss no profit. (ii) Marked price of the article is 200% more than its cost. (iii) The article is sold at 50% more than its cost.

  1. Only (i) and (ii)

  2. Only (i) and (iii)

  3. Either (ii) or (iii)

  4. Either (i) and (ii) together or (i) and (iii) together

  5. Any two of three
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question asks for the cost of an article sold at 50% discount. (i) Selling at Rs 500 less gives no profit/loss, meaning SP - 500 = CP. (ii) MP = 3 * CP. (iii) SP = 1.5 * CP. Since SP = 0.5 * MP, (ii) implies SP = 0.5 * 3 * CP = 1.5 * CP. Thus, (ii) and (iii) are identical statements. Either one is redundant.

Multiple choice

The profit earned by selling an article at its marked price is double the loss incurred by selling it at 70% discount. Find the % profit if it is sold at a 20% discount.

  1. 12%

  2. 25%

  3. 40%

  4. 50%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100, MP = M. Profit at MP = M - 100. Loss at 70% discount (SP = 0.3M) = 100 - 0.3M. Given M - 100 = 2(100 - 0.3M). M - 100 = 200 - 0.6M => 1.6M = 300 => M = 187.5. Selling at 20% discount (SP = 0.8 * 187.5 = 150). Profit = 50%.

Multiple choice

A shopkeeper marks the price of his wares 30% above the cost price. He sells his wares at 20% discount for cash and at 10% discount on credit. This way, he sells 70% of his wares for cash and the remaining on credit. What is his profit percent in the entire deal?

  1. 4.2%

  2. 8.4%

  3. 7.9%

  4. 7.6%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100, MP = 130. Cash sales (70%): SP = 130 * 0.8 = 104. Credit sales (30%): SP = 130 * 0.9 = 117. Weighted average SP = (0.7 * 104) + (0.3 * 117) = 72.8 + 35.1 = 107.9. Profit = 7.9%.

Multiple choice

Juli purchased an old scooty at successive discounts of 10% and 20%. She invests 10% of the cost price in repairing the scooty and sells it at a profit of 15%. If the printed price of scooty is Rs. 25,000, then what is the sale price of the scooty?

  1. Rs. 19,800

  2. Rs. 22,770

  3. Rs. 23,460

  4. Rs. 23,890

  5. Rs. 24,230
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Printed price = 25000. After 10% and 20% discounts, cost = 25000 * 0.9 * 0.8 = 18000. Repair cost = 10% of 18000 = 1800. Total cost = 19800. Sale price at 15% profit = 19800 * 1.15 = 22770.