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

When a discount of 25% is given on a wedding gown, the profit is 32%. If the discount is 17%, then the profit is

  1. 46.08 percent

  2. 49 percent

  3. 51.92 percent

  4. 43.16 percent
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the marked price be M and cost price be C. With 25% discount, selling price is 0.75M, and profit is 32%, so 0.75M = 1.32C, which means M = 1.76C. With 17% discount, selling price is 0.83M = 0.83 * 1.76C = 1.4608C. This represents a 46.08% profit.

Multiple choice

Component X (imported from U.S.A) and component Y (imported from Japan) account for 30% and 40% of the production cost of a certain machine. A profit of 25% is to be made, but a discount of 10% is to be offered to customers for promotional reasons. If dollar appreciates by 20% and Japanese yen appreciates by 30%, then what percentage above the original cost price should the product be marked?

  1. 33.3%

  2. 48.50%

  3. 82.33%

  4. 63.88%

  5. 56.68%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let original cost = 100. X = 30, Y = 40, Others = 30. New costs: X = 30 * 1.2 = 36, Y = 40 * 1.3 = 52, Others = 30. Total new cost = 118. To make 25% profit, selling price = 118 * 1.25 = 147.5. Since a 10% discount is offered, MP * 0.9 = 147.5, so MP = 163.88. Percentage above original cost = 63.88%.

Multiple choice

Arun has two watches of the same cost. He sold one of his watches for Rs. 1,680 at a profit and the other one for Rs. 1,512 at a loss. Determine the cost price of each watch, if he had no profit no loss.

  1. Rs. 1,596

  2. Rs. 1,590

  3. Rs. 1,586

  4. Rs. 1,610

  5. Rs. 1,616
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let the cost price of each watch be C. The selling prices are 1680 and 1512. Since there is no profit or loss, the total cost price equals the total selling price: 2C = 1680 + 1512 = 3192. Thus, C = 1596.

Multiple choice

Vijay bought some pens for Rs. 540. He lost 2 pens. Then, he sold each of the remaining pens at Rs. 6 more than the cost price. On the whole transaction, Vijay gained 10% on his outlay. How many pens did Vijay buy?

  1. 24

  2. 22

  3. 20

  4. 18
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the number of pens. Cost per pen = 540/x. Selling price per pen = (540/x) + 6. Total SP = (x - 2) * (540/x + 6). Profit is 10% of 540, which is 54, so SP = 594. Solving (x - 2)(540/x + 6) = 594 leads to x = 20.