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

Arush purchased a car from a showroom for Rs. 5 lakhs. He sold it to Pritam at a loss of 15%, who sold it to Chintan at a loss of 10%, who sold it to Deepak at a loss of 18%, who sold it to Arhaan at a profit of 11%. Find Arhaan's cost price.

  1. Rs. 3,52,802.40

  2. Rs. 3,47,052.50

  3. Rs. 3,48,151.50

  4. Rs. 3,62,315.10

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

The cost price changes sequentially: 5,00,000 * 0.85 * 0.90 * 0.82 * 1.11. Calculating this: 5,00,000 * 0.85 = 4,25,000; 4,25,000 * 0.90 = 3,82,500; 3,82,500 * 0.82 = 3,13,650; 3,13,650 * 1.11 = 3,48,151.50.

Multiple choice

A merchant earns a profit of 20% by selling a basket containing 80 apples, which cost Rs. 240. But, he gives one-fourth of it to his friend at cost price and sells the remaining apples. In order to earn the same profit, at what price must he sell each apple?

  1. Rs. 3.00

  2. Rs. 3.60

  3. Rs. 3.80

  4. Rs. 4.80
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost = 240. Profit = 20% of 240 = 48. Total revenue needed = 288. He gives 1/4 of 80 apples (20 apples) at cost (240/80 = 3 per apple). Revenue from friend = 20 * 3 = 60. Remaining apples = 60. Revenue needed from remaining = 288 - 60 = 228. Price per remaining apple = 228 / 60 = 3.80.

Multiple choice

Directions: In this question, you have to decide which of the statements I, II and III is/are required for determining the answer to the given question. Find the profit percentage if the trader doesn't allow the discount. I. A trader allows a discount of 10% on the marked price of an article. II. He makes a profit of 17% on the cost price even after allowing a 10% discount on the marked price. III. The marked price of the article is Rs. 100.

  1. Either II or III

  2. Both II and III

  3. Any two of the three statements

  4. All I, II and III

  5. Only I and either II or III
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

The price of a chair is Rs. 1260, which got increased by 30% during the month of June. Enakshi went to buy the chair. The shopkeeper had applied 28% discount on the marked price of the chair. If she paid 8% more amount than the cost price, then what is the marked price of the chair?

  1. Rs. 2537

  2. Rs. 2385

  3. Rs. 2400

  4. Rs. 2457

  5. Rs. 2600
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Cost price = 1260 * 1.30 = 1638. She paid 8% more than CP, so she paid 1638 * 1.08 = 1769.04. This price is 72% of the marked price (after 28% discount). Marked price = 1769.04 / 0.72 = 2457.

Multiple choice

A man purchased 35 kg of rice at the rate of Rs. 9.50 per kg and 30 kg at the rate of Rs. 10.50 per kg. He mixed the two. At what price (in Rs.) per kg should he sell the mixture to make 35 percent profit in the transaction?

  1. Rs. 12 /kg

  2. Rs. 12.50 /kg

  3. Rs. 13 /kg

  4. Rs. 13.50 /kg

  5. Rs. 14 /kg
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total cost = (35 * 9.5) + (30 * 10.5) = 332.5 + 315 = 647.5. Total weight = 65 kg. Cost per kg = 647.5 / 65 = 9.96. Selling price for 35% profit = 9.96 * 1.35 = 13.446, which rounds to 13.50.