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

Marcus owns a refrigerator shop. He sold two refrigerators at \$1,000 each. He sold one refrigerator at 15% profit. What was the cost price of the other refrigerator if he had bought it at \$250 less than the cost price of the first refrigerator?
  1. $421
  2. $519.5
  3. $618.8
  4. $619.6
  5. $629.6
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let C1 be the cost of the first refrigerator. Selling price = 1000, profit = 15%, so 1.15 * C1 = 1000, C1 = 1000/1.15 = 869.56. The second refrigerator cost C2 = C1 - 250 = 619.56. Selling price of second is 1000.

Multiple choice

Rayan owns a food store. The food store sells a lot of fruits and vegetables. James wants to buy 4 dozen bananas from Rayan. If the cost of 15 bananas is $3 for Rayan, at what price should he sell 4 dozen bananas if he wishes to earn a profit of 30%?
  1. $12.48
  2. $13.23
  3. $14.47
  4. $15
  5. $16.12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost of 15 bananas is 3 dollars, so 1 banana costs 0.20 dollars. 4 dozen is 48 bananas, costing 48 * 0.20 = 9.60 dollars. A 30 percent profit means selling at 9.60 * 1.30 = 12.48 dollars.

Multiple choice

An article is sold at 45/2% profit. If the cost price and selling price are increased by Rs. 40 and Rs. 35 respectively, then the profit on that article will be 15%. Find the cost of that article.

  1. Rs. 146 2/3

  2. Rs. 156 2/3

  3. Rs. 146 1/3

  4. Rs. 156 1/3

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

Let the cost price be x. The initial profit is 45/2% = 22.5%, so the selling price is 1.225x. The new cost price is x + 40 and the new selling price is 1.225x + 35. The new profit is 15%, so (1.225x + 35) / (x + 40) = 1.15. Solving this: 1.225x + 35 = 1.15x + 46, which gives 0.075x = 11. Thus, x = 11 / 0.075 = 146.666..., which is 146 2/3.

Multiple choice

Directions: Select the correct alternative from the given choices. Manohar bought 236 pens at a certain price. If he then sold all the pens at a fixed selling price each, such that he was able to recover his investment from the revenue obtained by selling exactly 200 pens, find his profit percentage.

  1. 18%

  2. 24%

  3. 36%

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Cost of 236 pens = 236 * CP. Revenue from 200 pens = 200 * SP. Since 236 * CP = 200 * SP, SP/CP = 236/200 = 1.18. Profit % = (1.18 - 1) * 100 = 18%.

Multiple choice

Directions: Select the correct alternative from the given choices. The ratio of the selling prices of two articles, A and B, is 2 : 3. If the percentage profit realized on selling the articles A and B are 25% and 20% respectively, then find the ratio of the cost price of A to that of B.

  1. 3/2

  2. 7/18

  3. 9/16

  4. 16/25
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

SP_A/SP_B = 2/3. Profit_A = 25%, Profit_B = 20%. CP_A = SP_A / 1.25 = 0.8 * SP_A. CP_B = SP_B / 1.20 = (1/1.2) * SP_B = (5/6) * SP_B. Ratio CP_A/CP_B = (0.8 * SP_A) / ((5/6) * SP_B) = (4/5 * 2) / (5/6 * 3) = (8/5) / (15/6) = (8/5) * (6/15) = 48/75 = 16/25.