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

Rakesh marked the price of an item 20% above the cost price. Due to festive season, he allowed two successive discounts of 10% and 25% to a consumer. Due to this, he incurred a loss of Rs. 684 on an item. At what price did he sell the item to the consumer?

  1. Rs. 2,916

  2. Rs. 2,900

  3. Rs. 2,516

  4. Rs. 3,916

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

Let CP = 100. Marked Price = 120. Successive discounts of 10% and 25%: 120 * 0.9 * 0.75 = 81. Loss = 100 - 81 = 19. Given loss = 684. So 19 units = 684, 1 unit = 36. Selling Price = 81 units = 81 * 36 = 2916.

Multiple choice

A person purchases 100 pens at a discount of 10%. The new amount of money spent by the person to purchase the pens is Rs. 600. The selling expenses incurred by the person are 15% on the net cost price. What should be the selling price for 100 pens in order to earn a profit of 25% ?

  1. 812.5

  2. 836

  3. 862.5

  4. 879.5

  5. 892
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost price = 600. Selling expenses = 15% of 600 = 90. Total cost = 600 + 90 = 690. To earn 25% profit, selling price = 690 * 1.25 = 862.5.

Multiple choice

A trader has 50 kg of rice, a part of which he sells at 10 percent profit and the rest at 5 percent loss. He gains 7 percent on the whole. What is the quantity sold at 10 percent gain and 5 percent loss?

  1. 30 kg and 10 kg

  2. 40 kg and 15 kg

  3. 35 kg and 40 kg

  4. 40 kg and 10 kg

  5. none of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the allegation method, the ratio of quantities sold at 10% profit and 5% loss is (7 - (-5)) : (10 - 7) = 12 : 3 = 4 : 1. For a total of 50 kg, the quantities are 40 kg and 10 kg.

Multiple choice

Directions: In this problem, a question is given followed by three statements numbered (I), (II) and (III). Read the statements carefully and determine which of them is/are sufficient/necessary to answer the question. What is the selling price of the article? I. Discount offered is 10%. II. Cost price of the article is Rs. 160. III. Marked price is 25% more than the cost price.

  1. All three statements

  2. None of the statements

  3. Only statements I and II

  4. Only statements II and III

  5. Only statements I and III
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find the selling price, we need the marked price and the discount. Statement II gives the cost price. Statement III gives the marked price relative to the cost price. Statement I gives the discount percentage. All three are needed to calculate the final selling price.

Multiple choice

Mahesh is a small farmer and he recently harvested sugarcane. He has 50 kg of sugarcane left over. He sells a part of that at 10 percent profit and the rest at 5 percent loss. He gains 7% on the whole. What quantities are sold at 10 percent gain and 5 percent loss?

  1. Gain - 30 kg, Loss - 10 kg

  2. Gain - 40 kg, Loss - 15 kg

  3. Gain - 35 kg, Loss - 40 kg

  4. Gain - 40 kg, Loss - 10 kg

  5. Gain - 50 kg, Loss - 10 kg
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the amount at 10% gain, 50-x at 5% loss. 0.1x - 0.05(50-x) = 0.07 * 50 = 3.5. 0.1x - 2.5 + 0.05x = 3.5. 0.15x = 6. x = 6/0.15 = 40. So 40 kg at gain, 10 kg at loss.

Multiple choice

A shopkeeper marks up the price of the product by y% and offers 15% discount on it. As a result, he earns 25% profit. If the shopkeeper marked up the price by 150% and got y% discount, then what will be the percent profit of the shopkeeper?

  1. 33.15%

  2. 32.35%

  3. 31.54%

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

Let CP = 100. Selling Price = 125. Marked Price (MP) = 125 / (1 - 0.15) = 125 / 0.85 = 147.058. Markup y% = 47.058%. New MP = 100 * 2.5 = 250. Discount y% = 47.058%. New SP = 250 * (1 - 0.47058) = 250 * 0.52942 = 132.35. Profit = 32.35%.

Multiple choice

The numbers of products, sold by a shopkeeper, of types A, B and C are in the ratio 5 : 7 : 10. If the shopkeeper earns 45% profit on products of type A, 40% profit on products of type B and 10% loss on products of type C, then what is the overall percent profit of the shopkeeper by selling all products, provided CP of products of types A, B and C are in the ratio 5 : 4 : 3?

  1. 25.3%

  2. 23.4%

  3. 22.9%

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

Let quantities be 5x, 7x, 10x. Let CP be 5y, 4y, 3y. Total CP = 5x*5y + 7x*4y + 10x*3y = 25xy + 28xy + 30xy = 83xy. Total SP = 5x*5y*1.45 + 7x*4y*1.40 + 10x*3y*0.90 = 36.25xy + 39.2xy + 27xy = 102.45xy. Profit = 102.45 - 83 = 19.45. Profit % = (19.45/83)*100 = 23.43%.

Multiple choice

The amount of loss incurred by Amit on selling a product for Rs. 1500 is 50% more than the profit earned when the same product is sold for Rs. 1900. If the product is sold for Rs. 2500, then what will be the profit percentage?

  1. 43.7%

  2. 31.8%

  3. 32.1%

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

Let CP be the cost price. Loss = CP - 1500, Profit = 1900 - CP. Given (CP - 1500) = 1.5 * (1900 - CP), solving gives 2.5 * CP = 4350, so CP = 1740. Selling at 2500 gives a profit of 2500 - 1740 = 760, and 760 / 1740 is approximately 43.67%.