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CAT Profit, Loss & Discount Questions with Answers & Explanations

20 Profit, Loss & Discount questions from the Quantitative Ability section of CAT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

Question 1

An article bought for ₹1,520 is sold for ₹1,748. What is the profit percentage?

  1. A15%
  2. B12.5%
  3. C17.5%
  4. D13.04%
Show answer
Answer: (A) 15% Profit = ₹228; profit % = 228 ÷ 1520 × 100 = 15%.
Question 2

Two successive discounts of 40% and 20% are equivalent to a single discount of

  1. A60%
  2. B54%
  3. C30%
  4. D52%
Show answer
Answer: (D) 52% Equivalent discount = 40 + 20 − (40 × 20)/100 = 52%.
Question 3

The marked price of a watch is ₹3,750 and a discount of 10% is given. What is the selling price?

  1. A₹375
  2. B₹3,375
  3. C₹3,650
  4. D₹3,187.50
Show answer
Answer: (B) ₹3,375 SP = 3750 × (100 − 10)/100 = ₹3,375.
Question 4

An article bought for ₹960 is sold for ₹1,344. What is the profit percentage?

  1. A45%
  2. B40%
  3. C28.57%
  4. D42.5%
Show answer
Answer: (B) 40% Profit = ₹384; profit % = 384 ÷ 960 × 100 = 40%.
Question 5

A shopkeeper buys an item for ₹3,700 and sells it at a loss of 15%. What is the selling price?

  1. A₹3,095
  2. B₹3,145
  3. C₹3,195
  4. D₹3,685
Show answer
Answer: (B) ₹3,145 SP = CP × (100 − 15)/100 = ₹3,145.
Question 6

Two successive discounts of 20% and 10% are equivalent to a single discount of

  1. A30%
  2. B28%
  3. C15%
  4. D26.5%
Show answer
Answer: (B) 28% Equivalent discount = 20 + 10 − (20 × 10)/100 = 28%.
Question 7

The marked price of a watch is ₹3,000 and a discount of 20% is given. What is the selling price?

  1. A₹2,250
  2. B₹2,400
  3. C₹2,550
  4. D₹2,800
Show answer
Answer: (B) ₹2,400 SP = 3000 × (100 − 20)/100 = ₹2,400.
Question 8

An article bought for ₹560 is sold for ₹630. What is the profit percentage?

  1. A12.5%
  2. B10%
  3. C17.5%
  4. D11.11%
Show answer
Answer: (A) 12.5% Profit = ₹70; profit % = 70 ÷ 560 × 100 = 12.5%.
Question 9

A shopkeeper buys an item for ₹1,300 and sells it at a loss of 25%. What is the selling price?

  1. A₹925
  2. B₹1,025
  3. C₹1,275
  4. D₹975
Show answer
Answer: (D) ₹975 SP = CP × (100 − 25)/100 = ₹975.
Question 10

Two successive discounts of 25% and 20% are equivalent to a single discount of

  1. A38.5%
  2. B22.5%
  3. C45%
  4. D40%
Show answer
Answer: (D) 40% Equivalent discount = 25 + 20 − (25 × 20)/100 = 40%.

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Question 11

The marked price of a watch is ₹2,750 and a discount of 10% is given. What is the selling price?

  1. A₹2,337.50
  2. B₹2,475
  3. C₹2,650
  4. D₹275
Show answer
Answer: (B) ₹2,475 SP = 2750 × (100 − 10)/100 = ₹2,475.
Question 12

An article bought for ₹560 is sold for ₹588. What is the profit percentage?

  1. A4.76%
  2. B7.5%
  3. C5%
  4. D10%
Show answer
Answer: (C) 5% Profit = ₹28; profit % = 28 ÷ 560 × 100 = 5%.
Question 13

A shopkeeper buys an item for ₹1,500 and sells it at a loss of 15%. What is the selling price?

  1. A₹1,325
  2. B₹1,275
  3. C₹1,725
  4. D₹1,225
Show answer
Answer: (B) ₹1,275 SP = CP × (100 − 15)/100 = ₹1,275.
Question 14

Two successive discounts of 20% and 20% are equivalent to a single discount of

  1. A36%
  2. B40%
  3. C34.5%
  4. D20%
Show answer
Answer: (A) 36% Equivalent discount = 20 + 20 − (20 × 20)/100 = 36%.
Question 15

The marked price of a watch is ₹1,650 and a discount of 20% is given. What is the selling price?

  1. A₹330
  2. B₹1,320
  3. C₹1,237.50
  4. D₹1,450
Show answer
Answer: (B) ₹1,320 SP = 1650 × (100 − 20)/100 = ₹1,320.
Question 16

An article bought for ₹840 is sold for ₹1,176. What is the profit percentage?

  1. A45%
  2. B40%
  3. C42.5%
  4. D28.57%
Show answer
Answer: (B) 40% Profit = ₹336; profit % = 336 ÷ 840 × 100 = 40%.
Question 17

A shopkeeper buys an item for ₹2,200 and sells it at a loss of 5%. What is the selling price?

  1. A₹2,040
  2. B₹2,310
  3. C₹2,195
  4. D₹2,090
Show answer
Answer: (D) ₹2,090 SP = CP × (100 − 5)/100 = ₹2,090.
Question 18

Two successive discounts of 40% and 20% are equivalent to a single discount of

  1. A60%
  2. B30%
  3. C52%
  4. D54%
Show answer
Answer: (C) 52% Equivalent discount = 40 + 20 − (40 × 20)/100 = 52%.
Question 19

An article bought for ₹1,920 is sold for ₹2,016. What is the profit percentage?

  1. A2.5%
  2. B7.5%
  3. C4.76%
  4. D5%
Show answer
Answer: (D) 5% Profit = ₹96; profit % = 96 ÷ 1920 × 100 = 5%.
Question 20

A shopkeeper buys an item for ₹400 and sells it at a loss of 5%. What is the selling price?

  1. A₹330
  2. B₹430
  3. C₹395
  4. D₹380
Show answer
Answer: (D) ₹380 SP = CP × (100 − 5)/100 = ₹380.

These are RankerClub practice questions written in the CAT pattern. They are not official SSC/IBPS/RRB papers.

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