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

The selling price of one article after allowing a discount of 15% on its cost price, is the same as the selling price of another article after allowing a discount of 25% on its cost price. If the sum of the cost prices of both the articles is Rs. 640, then find the selling price of each article.

  1. Rs. 250

  2. Rs. 340

  3. Rs. 280

  4. Rs. 255
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP1 = x, CP2 = 640 - x. SP1 = 0.85x, SP2 = 0.75(640 - x). Since SP1 = SP2, 0.85x = 480 - 0.75x => 1.6x = 480 => x = 300. SP = 0.85 * 300 = 255.

Multiple choice

A shopkeeper bought chocolate at Rs. 4 per piece. He packed the chocolates in boxes with 15 chocolates in each box and marked price of Rs. 67.50 on every box he packed. He decided to give discount of 10% on marked price. Calculate the ratio of the profit % after giving the discount to the profit % without giving the discount.

  1. 1 : 10

  2. 10 : 1

  3. 1 : 5

  4. 1 : 7

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

Cost per box = 15 * 4 = 60. Profit without discount = 67.50 - 60 = 7.50 (12.5%). Selling price with 10% discount = 67.50 * 0.9 = 60.75. Profit with discount = 60.75 - 60 = 0.75 (1.25%). Ratio = 1.25 : 12.5 = 1 : 10.

Multiple choice

At what price does Alice sell her refrigerator so as to gain a profit? (1) The profit earned is 5% of the selling price. (2) The difference between cost price and selling price is $200.

  1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

  2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

  3. Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

  4. EACH statement ALONE is sufficient.

  5. Statements (1) and (2) TOGETHER are NOT sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

A shopkeeper claims to sell rice at cost price. He uses a false weight with the intention of selling rice at 25% profit. After selling rice to a customer, he realises that the customer has paid 10% less than what he should have paid. What is the actual profit percentage made by the shopkeeper?

  1. 6.25%

  2. 10%

  3. 12.5%

  4. 15%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. He intends to sell at 125. However, he gives a 10% discount on the price the customer pays, or the customer pays 10% less than the marked price. If he marks it at 125, the customer pays 0.9 * 125 = 112.5. The profit is 112.5 - 100 = 12.5%.

Multiple choice

A shopkeeper sells two refrigerators one at a loss of 25% and the other at a profit of 22%. If the cost price of the loss and profit refrigerators are in the ratio of 3 : 4 respectively. Then find how much profit percentage he made on selling both the refrigerators?

  1. 8 4/5%

  2. 1 6/7%

  3. 4 4/5%

  4. 6 2/3%

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

Let CP1 = 3k, CP2 = 4k. Loss on 1st = 0.25 * 3k = 0.75k. Profit on 2nd = 0.22 * 4k = 0.88k. Net profit = 0.88k - 0.75k = 0.13k. Total CP = 7k. Profit % = (0.13k / 7k) * 100 = 13/7 = 1.857%. This is 1 6/7%.