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

In his high-end boutique, Steven recently sold a collection of 30 designer watches to a client. Upon meticulously reviewing his financials, Steven realised that the profit he earned from this sale equalled the total selling price of 6 watches. What is Steven's profit percentage from the sale of these designer watches?

  1. 20

  2. 25

  3. 30

  4. 33.33
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit = SP of 6 watches. Total SP = 30 * SP_watch. Profit = SP_total - CP_total. 6 * SP_watch = 30 * SP_watch - 30 * CP_watch. 30 * CP_watch = 24 * SP_watch. SP_watch / CP_watch = 30 / 24 = 1.25. Profit percentage = 25%.

Multiple choice

Aarti runs a small gift shop that she recently opened in her neighbourhood. One evening, she was thrilled to sell a batch of 15 handmade candles to a customer. After the sale, Aarti calculated her earnings and found that the profit she made from selling these 15 candles was equal to the selling price of 3 candles. What was Aarti's profit percentage?

  1. 15

  2. 20

  3. 25

  4. 33

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

Profit on 15 candles = Selling Price (SP) of 3 candles. Let SP of 1 candle be 1. Profit = 3. Total SP of 15 candles = 15. Cost Price (CP) = SP - Profit = 15 - 3 = 12. Profit % = (Profit/CP) * 100 = (3/12) * 100 = 25%.

Multiple choice

A bookstore owner buys a set of rare books for Rs. 4,000. He marks up the price of the books by 30% for retail sale. However, during a promotional sale, he offers a discount of 15% on the marked price. If he manages to sell all the books, what is the final amount he receives for the set of books after the discount?

  1. Rs. 3,420

  2. Rs. 3,820

  3. Rs. 4,420

  4. Rs. 4,820
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The marked price is 4000 * 1.30 = 5200. Applying a 15% discount means the selling price is 5200 * 0.85 = 4420.

Multiple choice

Mike buys 100 pair of shoes and set a price to gain a profit of 40%.He sells 40 pair of shoes at marked price and offers a discount of 10% on 20 pair of shoes.However 15 pair of shoes found damage and he was unable to these pairs.He sells the remaining pair of shoes by Z% increase in marked price to have overall profit or 20%.Then Z is nearest to :

  1. 11

  2. 15

  3. 18

  4. 20
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = 100 per pair. Total CP = 10,000. Target profit 20% = 12,000. Marked Price (MP) = 140. 40 pairs sold at 140 = 5,600. 20 pairs at 10% discount (126) = 2,520. 15 pairs damaged (0). Remaining 25 pairs sold at (140 + Z% of 140). Total revenue = 5600 + 2520 + 25(140 + 1.4Z) = 12000. 8120 + 3500 + 35Z = 12000. 11620 + 35Z = 12000. 35Z = 380. Z = 10.85, nearest to 11.

Multiple choice

At 'Green Thumb Garden Centre,' a popular nursery known for its rare bonsai trees, Rohan meticulously cared for a unique bonsai and sold it, making a profit of Rs. 1,200. To double his profit, Rohan plans to increase the selling price (SP) of the bonsai by 30%. What was the cost price (CP) of the bonsai that Rohan initially purchased?

  1. Rs. 2,200

  2. Rs. 2,500

  3. Rs. 2,800

  4. Rs. 3,000

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

Profit = 1200. New profit = 2400. Increase in profit = 1200. This increase comes from 30% of the SP. 0.3 * SP = 1200, so SP = 4000. CP = SP - Profit = 4000 - 1200 = 2800.

Multiple choice

After selling a watch, Mihir found that he had made a loss of 12 %. He also found that had he sold it for Rs. 45 more, he would have made a profit of 8 %. The actual initial loss was what percentage of the profit earned, had he sold the watch for 8 % profit?

  1. 120%

  2. 110%

  3. 150%

  4. 135%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be the cost price. Loss of 12% means SP1 = 0.88*CP. Profit of 8% means SP2 = 1.08*CP. The difference is 0.20*CP = 45, so CP = 225. The initial loss was 0.12 * 225 = 27. The profit at 8% is 0.08 * 225 = 18. The ratio 27/18 = 1.5, which is 150%.

Multiple choice

A clothing store owner marks up the prices of his garments by 25% above the cost price. He sells 50% of the garments at a 20% discount on the marked price, and the remaining at a 30% discount on the marked price. What is the overall profit/loss percentage for the clothing store owner?

  1. Loss of 6.25%

  2. Loss of 5.25%

  3. Profit of 6.25%

  4. Profit of 5.25%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let cost price = 100, marked price = 125. Half sold at 20% discount (125 * 0.8 = 100), half sold at 30% discount (125 * 0.7 = 87.5). Total revenue = 100 + 87.5 = 187.5 for 2 units. Total cost = 200. Loss = 200 - 187.5 = 12.5. Loss percentage = (12.5 / 200) * 100 = 6.25%.

Multiple choice

In a farmers' market, both Ramesh and Sita bought vegetables worth Rs. 1,500 each. Ramesh marked the price up by 5p% and offered a discount of 4p%, while Sita marked the price up by 4p% and offered a discount of 3p%. If Sita made a profit of Rs. 480 more than that made by Ramesh, what is the value of p, where p > 0?

  1. 10

  2. 15

  3. 20

  4. 30

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

Ramesh: CP = 1500, MP = 1500(1 + p/100), SP = 1500(1 + p/100)(1 - 0.8p/100). Profit = SP - 1500. Sita: CP = 1500, MP = 1500(1 + 0.8p/100), SP = 1500(1 + 0.8p/100)(1 - 0.6p/100). Solving for p with the difference of 480 leads to p=20.

Multiple choice

A merchant sells a product at a price that gives him a 30% profit on his cost price. However, if the cost price had been 20% lower, and the product had been sold for 18 rupees less, the merchant's profit would have been 40% on the new cost price. What is the original selling price of the product?

  1. Rs. 112

  2. Rs. 118

  3. Rs. 124

  4. Rs. 130
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x, SP = 1.3x. New CP = 0.8x, New SP = 1.3x - 18. Profit = 40% of 0.8x = 0.32x. So 1.3x - 18 = 0.8x + 0.32x = 1.12x. 0.18x = 18, x = 100. Original SP = 1.3 * 100 = 130.

Multiple choice

DIRECTION for the question: Solve the following question and mark the best possible option. Komal buys an article at a discount of 25%. At what % above the cost price should he sell it to make a profit of 25% over the original list price?

  1. 25

  2. 30

  3. 40

  4. 66.67

  5. 50
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let List Price = 100. Cost Price = 75 (25% discount). Target Profit = 25% of 100 = 25. Selling Price = 125. Profit over CP = 125 - 75 = 50. % Profit = (50/75) * 100 = 66.67%.