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XAT Profit, Loss & Discount Questions with Answers & Explanations

18 Profit, Loss & Discount questions from the Quantitative Ability & Data Interpretation section of XAT, 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.

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Question 1

A shopkeeper buys an item for ₹500 and sells it at a loss of 20%. What is the selling price?

  1. A₹450
  2. B₹400
  3. C₹600
  4. D₹350
  5. E₹480
Show answer
Answer: (B) ₹400 SP = CP × (100 − 20)/100 = ₹400.
Question 2

The marked price of a watch is ₹1,200 and a discount of 15% is given. What is the selling price?

  1. A₹1,020
  2. B₹960
  3. C₹1,080
  4. D₹1,050
  5. E₹180
Show answer
Answer: (A) ₹1,020 SP = 1200 × (100 − 15)/100 = ₹1,020.
Question 3

An article bought for ₹520 is sold for ₹546. What is the profit percentage?

  1. A4.76%
  2. B5%
  3. C7.5%
  4. D10%
  5. E2.5%
Show answer
Answer: (B) 5% Profit = ₹26; profit % = 26 ÷ 520 × 100 = 5%.
Question 4

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

  1. A52%
  2. B60%
  3. C54%
  4. D50.5%
  5. E30%
Show answer
Answer: (A) 52% Equivalent discount = 40 + 20 − (40 × 20)/100 = 52%.
Question 5

The marked price of a watch is ₹1,350 and a discount of 20% is given. What is the selling price?

  1. A₹1,150
  2. B₹1,080
  3. C₹1,147.50
  4. D₹270
  5. E₹1,012.50
Show answer
Answer: (B) ₹1,080 SP = 1350 × (100 − 20)/100 = ₹1,080.
Question 6

A shopkeeper buys an item for ₹800 and sells it at a loss of 15%. What is the selling price?

  1. A₹680
  2. B₹785
  3. C₹630
  4. D₹730
  5. E₹920
Show answer
Answer: (A) ₹680 SP = CP × (100 − 15)/100 = ₹680.
Question 7

An article bought for ₹720 is sold for ₹828. What is the profit percentage?

  1. A17.5%
  2. B12.5%
  3. C20%
  4. D15%
  5. E13.04%
Show answer
Answer: (D) 15% Profit = ₹108; profit % = 108 ÷ 720 × 100 = 15%.
Question 8

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

  1. A40%
  2. B22.5%
  3. C45%
  4. D38.5%
  5. E42%
Show answer
Answer: (A) 40% Equivalent discount = 25 + 20 − (25 × 20)/100 = 40%.
Question 9

The marked price of a watch is ₹3,050 and a discount of 30% is given. What is the selling price?

  1. A₹915
  2. B₹2,287.50
  3. C₹2,750
  4. D₹1,982.50
  5. E₹2,135
Show answer
Answer: (E) ₹2,135 SP = 3050 × (100 − 30)/100 = ₹2,135.
Question 10

A shopkeeper buys an item for ₹3,500 and sells it at a loss of 5%. What is the selling price?

  1. A₹3,675
  2. B₹3,275
  3. C₹3,375
  4. D₹3,495
  5. E₹3,325
Show answer
Answer: (E) ₹3,325 SP = CP × (100 − 5)/100 = ₹3,325.

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Question 11

An article bought for ₹1,760 is sold for ₹1,936. What is the profit percentage?

  1. A15%
  2. B9.09%
  3. C10%
  4. D12.5%
  5. E7.5%
Show answer
Answer: (C) 10% Profit = ₹176; profit % = 176 ÷ 1760 × 100 = 10%.
Question 12

The marked price of a watch is ₹1,800 and a discount of 20% is given. What is the selling price?

  1. A₹1,440
  2. B₹1,600
  3. C₹1,530
  4. D₹360
  5. E₹1,350
Show answer
Answer: (A) ₹1,440 SP = 1800 × (100 − 20)/100 = ₹1,440.
Question 13

A shopkeeper buys an item for ₹1,400 and sells it at a loss of 5%. What is the selling price?

  1. A₹1,280
  2. B₹1,395
  3. C₹1,470
  4. D₹1,380
  5. E₹1,330
Show answer
Answer: (E) ₹1,330 SP = CP × (100 − 5)/100 = ₹1,330.
Question 14

An article bought for ₹1,840 is sold for ₹2,300. What is the profit percentage?

  1. A20%
  2. B30%
  3. C27.5%
  4. D22.5%
  5. E25%
Show answer
Answer: (E) 25% Profit = ₹460; profit % = 460 ÷ 1840 × 100 = 25%.
Question 15

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

  1. A19%
  2. B10%
  3. C20%
  4. D21%
  5. E17.5%
Show answer
Answer: (A) 19% Equivalent discount = 10 + 10 − (10 × 10)/100 = 19%.
Question 16

The marked price of a watch is ₹2,700 and a discount of 10% is given. What is the selling price?

  1. A₹2,600
  2. B₹2,565
  3. C₹2,430
  4. D₹270
  5. E₹2,295
Show answer
Answer: (C) ₹2,430 SP = 2700 × (100 − 10)/100 = ₹2,430.
Question 17

A shopkeeper buys an item for ₹3,000 and sells it at a loss of 10%. What is the selling price?

  1. A₹3,300
  2. B₹2,700
  3. C₹2,990
  4. D₹2,650
  5. E₹2,750
Show answer
Answer: (B) ₹2,700 SP = CP × (100 − 10)/100 = ₹2,700.
Question 18

A shopkeeper buys an item for ₹3,900 and sells it at a loss of 5%. What is the selling price?

  1. A₹3,755
  2. B₹3,895
  3. C₹4,095
  4. D₹3,705
  5. E₹3,655
Show answer
Answer: (D) ₹3,705 SP = CP × (100 − 5)/100 = ₹3,705.

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

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