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

Income tax department raided a store. They asked the owner what profit he earned on his items. The shopkeeper gave them a mathematical expression and asked them to calculate the profit themselves. 15(SP) = 18(CP) + 2(Profit) What is the profit percentage earned by the shopkeeper?

  1. 12.5%

  2. 50%

  3. 65%

  4. 23%

  5. Data insufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

15(SP) = 18(CP) + 2(Profit). Since Profit = SP - CP, 15(SP) = 18(CP) + 2(SP - CP) = 18(CP) + 2(SP) - 2(CP) = 16(CP) + 2(SP). 13(SP) = 16(CP). SP/CP = 16/13. Profit % = ((16-13)/13) * 100 = 3/13 * 100 = 23.07%.

Multiple choice

A tricycle was purchased for Rs. 2000 and a cycle was purchased for Rs. 1500. If the cycle is sold at a profit of 25% and the tricycle is sold at a profit of 12%, then what is the total profit percentage in the whole transaction?

  1. 17.45%

  2. 19.67%

  3. 17.57%

  4. 19.56%

  5. 18.12%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = 2000 + 1500 = 3500. Profit from cycle = 0.25 * 1500 = 375. Profit from tricycle = 0.12 * 2000 = 240. Total profit = 375 + 240 = 615. Profit percentage = (615 / 3500) * 100 = 17.57%.

Multiple choice

If two items sold at the same price Rs. 1864 each, one at a loss of 19% and the other at a profit of 19%, then find the overall loss and loss percentage.

  1. Rs. 150 and 5%

  2. Rs. 139.62 and 3.61%

  3. Rs. 245 and 4.45%

  4. Rs. 164 and 3.86%

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

For two items sold at the same price with equal percentage profit and loss, the overall result is always a loss. The loss percentage is (x^2)/100 = (19^2)/100 = 3.61%. With SP = 1864 each, CP1 = 1864/0.81 = 2301.23 and CP2 = 1864/1.19 = 1566.39. Total CP = 3867.62, Total SP = 3728. Loss = 3867.62 - 3728 = 139.62.

Multiple choice

Discounts offered by the fruit vendor on the selling price of mangoes are in the following way. 5% discount on the selling price of 1 dozen mangoes 10% discount on the selling price of 2 dozen mangoes 15% discount on the selling price of 3 dozen mangoes and so on. Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss. (Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)

  1. 25%

  2. 15%

  3. 20%

  4. 36%

  5. 28%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A 25% profit on cost means the selling price is 1.25 times the cost. To have no loss, the discounted selling price must equal the cost price, meaning the discount must be 20% of the original selling price (since 1.25 * 0.8 = 1.0). The pattern of discounts provided is irrelevant to finding the maximum possible discount that avoids a loss.

Multiple choice

The cost of running a printing machine is Rs. 320 per 1000 copies. The cost of setting is Rs. 2000 for the first 5000 copies and after this, the cost of setting is 30 paise per copy. The other cost is 60 paise per copy. About 10000 copies of a magazine are printed, but only 8260 copies are sold at the rate of Rs. 1.75 each. What is the amount earned from advertisement, if a profit of 30% on the cost price is made?

  1. Rs. 1455

  2. Rs. 2095

  3. Rs. 2055

  4. Rs. 2105

  5. Rs. 1755
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost = 320 * (10000/1000) + 2000 + (5000 * 0.30) + (10000 * 0.60) = 3200 + 2000 + 1500 + 6000 = 12700. Selling price = 8260 * 1.75 = 14455. Profit = 30% of 12700 = 3810. Total revenue needed = 12700 + 3810 = 16510. Advertisement = 16510 - 14455 = 2055.

Multiple choice

A TV set having a marked price of Rs. 15,000 is sold by a company to a dealer. The dealer gets 15% discount on it. The dealer then sells this set with 15% profit on the marked price, but also at the same time he gives Rs. 750 rebate on it. Find the profit percentage of the dealer.

  1. 30%

  2. 29.40%

  3. 30.50%

  4. 29%

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

Marked Price = 15000. Dealer cost = 15000 * 0.85 = 12750. Dealer selling price = 15000 * 1.15 - 750 = 17250 - 750 = 16500. Profit = 16500 - 12750 = 3750. Profit % = (3750 / 12750) * 100 = 29.41%.

Multiple choice

If a storekeeper sells 200 articles at such a price that his profit is equal to the selling price of 50 articles, what will be his profit percentage?

  1. 30.16%

  2. 32.15%

  3. 33.33%

  4. 38.14%

  5. 39.24%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit = Selling Price (SP) of 50 articles. Total SP of 200 articles = 200 * SP of 1 article. Profit = 50 * SP of 1 article. Cost Price (CP) = SP - Profit = 150 * SP of 1 article. Profit percentage = (Profit / CP) * 100 = (50 / 150) * 100 = 33.33%.