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 jewelry store owner purchases a necklace for Rs. 1000 and has to pay 8% import duty on it. The owner wants to make a profit of 15% after offering a 20% discount to customers. What should be the marked price of the necklace?

  1. Rs. 1100.75

  2. Rs. 1202.25

  3. Rs. 1048.50

  4. Rs. 1552.50

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

CP = 1000 + 8% of 1000 = 1080. Let MP be x. Selling Price = 0.8x. Profit = 15% of 1080 = 162. SP = 1080 + 162 = 1242. 0.8x = 1242. x = 1242 / 0.8 = 1552.5.

Multiple choice

A shopkeeper purchases fabric at a rate of Rs. 220 per meter and receives 10 cm of fabric free for every 100 cm of fabric purchased. He sells the same fabric at a rate of Rs. 270 per meter but deceives his customers by giving 90 cm of fabric for every 100 cm purchased. If the shopkeeper provides a 10% discount, what is the resultant profit percent earned by him?

  1. 18%

  2. 25%

  3. 30%

  4. 35%

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

Cost price for 100cm is 220, but he gets 110cm. CP per cm = 220/110 = 2. Selling price per cm is 270/90 = 3, but with a 10% discount, SP = 3 * 0.9 = 2.7. Profit = 2.7 - 2 = 0.7. Profit % = (0.7 / 2) * 100 = 35%.

Multiple choice

Neha purchases a designer handbag for Rs. 2000 and sells it to Priya at a 25% profit. Then, Priya sells it back to Neha at a 25% loss. Finally, Neha sells the same handbag to Ria. If the total profit made by Neha from all her transactions is Rs. 1000, what is the percentage of profit made by Neha when she sold the handbag to Ria?

  1. 26.67%

  2. 34.55%

  3. 23.33%

  4. 24.67%

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

Neha buys for 2000. Sells to Priya at 25% profit (2500). Priya sells back to Neha at 25% loss (2500 * 0.75 = 1875). Neha buys for 1875. Total profit = 1000. Neha's profit from first sale = 500. To get 1000 total, she needs 500 more from the sale to Ria. Selling price to Ria = 1875 + 500 = 2375. Profit % = (500/1875) * 100 = 26.67%.

Multiple choice

Decide which combination of rows of columns I and II is sufficient to answer the question. If a person sold an article, which: 1. Has a marked price of Rs. ____________ 2. Was sold at a ________% profit 3. Was sold with a holiday discount of _______% Find the final selling price of the article. Column I (a) Profit earned = 15% (b) 180 (c) T - 4 Column II (d) Discount percentage = 10% (e) T × 1.8

  1. a, d

  2. b, d

  3. a, e

  4. c, d

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

To find the selling price, you need the marked price and the discount percentage. Statement (b) provides the marked price (180), and statement (d) provides the discount percentage (10%). Profit percentage is irrelevant to calculating the final selling price if the marked price and discount are known.

Multiple choice

Directions: In the following question you have to find out that which of the following statement/statements are redundant for determining the answer of given question or can be dispensed with. In a sale, a shopkeeper sells an LED TV at 15% discount. Find the profit percentage. (I) Difference between marked price and selling price was Rs. 4,000 (II) Had the LED TV been sold for Rs. 2,000 more, there would have been no profit no loss (III) Cost price of the LED TV is Rs. 36,000

  1. Only I or III

  2. Any one of them

  3. Either I or II

  4. Any two of them

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

Rohit, a toy store owner, sets prices strategically to ensure profitability. After offering a promotional discount of 30% during a festive season, Rohit still achieves a 26% profit on each toy sold. What is the percentage mark-up above the cost price that Rohit applies to his toys?

  1. 70%

  2. 75%

  3. 80%

  4. 85%

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

Let CP = 100. Profit = 26%, so SP = 126. Discount = 30%, so SP = MP * 0.7. 126 = MP * 0.7 => MP = 126 / 0.7 = 180. Mark-up = (MP - CP) / CP = (180 - 100) / 100 = 80%.

Multiple choice

A grocery store owner marks up the prices of his products by 15% above the cost price. He sells 90% of the products at the marked price, giving a 5% discount, and the remaining at a 10% discount on the marked price. What is the overall profit/loss percentage for the grocery store owner?

  1. 7.857%

  2. 6.685%

  3. 7.865%

  4. 8.675%

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

Let Cost Price = 100. Marked Price = 115. Selling 90% at 5% discount: 90 * (115 * 0.95) = 9832.5. Selling 10% at 10% discount: 10 * (115 * 0.90) = 1035. Total Revenue = 10867.5. Total Cost = 10000. Profit = 8.675%.

Multiple choice

The cost price of Anna's popular chocolate cake increased by 15% due to rising ingredient cost. As a result, she noticed that her profit on the cake decreased by 25%. What is the present profit percentage earned by Anna on the chocolate cake?

  1. 13.39

  2. 39.13

  3. 39.31

  4. 31.39

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

Let CP = 100, Profit = P. SP = 100 + P. New CP = 115. New Profit = 0.75P. New SP = 115 + 0.75P. Since SP is the same, 100 + P = 115 + 0.75P. 0.25P = 15, P = 60. New profit percentage = (0.75 * 60) / 115 = 45 / 115 = 39.13%.

Multiple choice

Ravi, a gadget shop owner, sells a tablet for Rs. 6,000 and notices that the profit he makes is only 15% of the profit he would make if he sold the same tablet for Rs. 9,000. Based on this information, what is the approximate cost price of the tablet?

  1. Rs. 4,750

  2. Rs. 5,470

  3. Rs. 5,740

  4. Rs. 7,540
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP be x. Profit at 6000 is (6000-x). Profit at 9000 is (9000-x). Given (6000-x) = 0.15 * (9000-x). 6000 - x = 1350 - 0.15x. 4650 = 0.85x. x = 4650 / 0.85 = 5470.58.

Multiple choice

A company offers four types of successive discounts A - D on the marked price of an article. Arrange these successive discounts A - D in ascending order based on the final price of the article after discounts. (A) 25% and 15% (B) 30% and 10% (C) 35% and 5% (D) 15% and 20%

  1. (A), (B), (D), (C)

  2. (C), (B), (A), (D)

  3. (B), (A), (D), (C)

  4. (C), (A), (B), (D)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Successive discount formula: D = d1 + d2 - (d1*d2)/100. (A) 25+15-3.75 = 36.25%. (B) 30+10-3 = 37%. (C) 35+5-1.75 = 38.25%. (D) 15+20-3 = 32%. Ascending order of final price means descending order of discount percentage. The discounts are 38.25% (C), 37% (B), 36.25% (A), 32% (D). Ascending order of price: (C), (B), (A), (D).

Multiple choice

At 'Vintage Treasures,' an exquisite porcelain vase caught the attention of collectors. Initially priced at Rs. 1,920, the shop incurred a 4% loss on the cost price. Realising the vase's true value as an antique piece, the shop decided to adjust the selling price to achieve a 15% gain. What should be the new selling price of the porcelain vase?

  1. Rs. 2,210

  2. Rs. 2,300

  3. Rs. 2,520

  4. Rs. 2,730
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The initial price of Rs. 1,920 represents a 4% loss, meaning it is 96% of the cost price. Thus, cost price = 1920 / 0.96 = 2000. To achieve a 15% gain, the new selling price must be 115% of 2000, which is 2300.