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 retailer sells two products, P and Q. The ratio of the cost prices of P and Q is 3 : 4, respectively. The marked price of product Q is twice that of product P. The selling price of product P is Rs. 900, which is Rs. 300 less than its marked price. What is the profit earned on product Q? I. The cost price of product P is Rs. 720, and product Q is sold at a profit of 25% on its cost price. II. The selling price of product P is Rs. 660 more than the profit earned on product Q.

  1. Only I

  2. Only II

  3. Both I & II together

  4. Either I or II

  5. Neither I nor II
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives CP of P = 720, so CP of Q = 960. Profit on Q = 25% of 960 = 240. Statement II relates SP of P to profit of Q. Both statements provide enough info to find the profit on Q.

Multiple choice

A small and medium enterprise imports two components A and B respectively from Taiwan and China, and assembles them with other components to form a toy. Component A contributes to 10% of the production cost. Component B contributes to 20% of the production cost. Usually, the company sells this toy at 20% above the production cost. Due to increase in the raw materials and labour cost in both the countries, component A became 20% costlier and component B became 40% costlier. Owing to these reasons, the company increased its selling price by 15%. Considering that the cost of other components does not change, what will be the profit percentage, if the toy is sold at the new price?

  1. 15.5%

  2. 25.5%

  3. 35.5%

  4. 40%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Cost = 100. A = 10, B = 20, Others = 70. New A = 12, New B = 28, Others = 70. New Cost = 110. Old Selling Price = 120. New Selling Price = 120 * 1.15 = 138. Profit = 138 - 110 = 28. Profit % = (28/110) * 100 = 25.45%.

Multiple choice

Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer: What is the marked price of the shirt?I. A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.II. A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.

  1. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

  2. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  3. The data in statements I alone or in statement II alone is sufficient to answer the question.

  4. The data in both the statements I and II is not sufficient to answer the question.

  5. The data in both the statements I and II together is necessary to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Statement I: 2 shirts for 2200, so CP = 1100. Profit = 55. SP = 1155. Discount = 23%, so 0.77 * MP = 1155. MP = 1500. Sufficient. Statement II: CP is not given, so insufficient.

Multiple choice

Following questions have two quantities as Quantity I and Quantity II. You have to determine the relationship between them and give answer as, Quantity I: A man buys some quantity of rice for Rs. 5800. He sells one-fourth of the rice at a profit of 20 %. At what percentage gain should he sell the remaining three-fourth rice so as to make an overall profit of 12.5 % on the whole transaction? Quantity II: 40 % of the first number is subtracted from the second number, then the answer will be 16 more than the first number. The first number is 80 less than the second number. The first number is what percentage less than the second number?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: 1/4 at 20% profit, 3/4 at x% profit, total 12.5%. (1/4*20) + (3/4*x) = 12.5 => 5 + 0.75x = 12.5 => 0.75x = 7.5 => x = 10%. Quantity II: Let numbers be x and y. y - 0.4x = x + 16 => y = 1.4x + 16. Also x = y - 80 => y = x + 80. Equating: 1.4x + 16 = x + 80 => 0.4x = 64 => x = 160. Then y = 240. Percentage less = (240-160)/240 = 80/240 = 33.33%. Since 10% < 33.33%, Quantity I < Quantity II.

Multiple choice

A Japanese company of mobiles, SONY, sells a mobile to Indian wholesaler company at a profit of 20%. The wholesale company sells it to customer at profit of 50%. It is given that the wholesale company sells the mobile to retailer at a profit of 20%, the retailer sells it to a customer at a profit of 40%. If the difference between selling price of retailer when he sells it to a customer and selling price of wholesale company when it sells to customer is Rs. 6,480, then the cost price of mobile for Indian wholesaler company is

  1. Rs. 30,000

  2. Rs. 36,000

  3. Rs. 25,000

  4. Rs. 50,000

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

Directions: The given question is followed by statements I and II. You have to identify which of the following statements is/are sufficient to answer the question and mark the appropriate option. What is the selling price of a teddy bear? I. The ratio of cost price to discount on teddy bear is 7 : 1. II. The ratio of discount offered on teddy bear to profit is 5 : 4.

  1. Only statement I alone is sufficient to answer the question.

  2. Only statement II alone is sufficient to answer the question.

  3. Both the statements together are sufficient to answer the question.

  4. Both the statements together are insufficient to answer the question.

  5. Either statement I alone or statement II alone is sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the actual selling price in currency, we need at least one absolute monetary value. Since both statements only provide ratios between the cost price, discount, and profit, we can only determine the relative proportions of these values but not their actual numerical amounts.