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CTET Profit, Loss & Discount Questions with Answers & Explanations

20 Profit, Loss & Discount questions from the Mathematics section of CTET, 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

The marked price of a watch is ₹2,350 and a discount of 25% is given. What is the selling price?

  1. A₹1,762.50
  2. B₹587.50
  3. C₹1,645
  4. D₹2,100
Show answer
Answer: (A) ₹1,762.50 SP = 2350 × (100 − 25)/100 = ₹1,762.50.
Question 2

An article bought for ₹520 is sold for ₹650. What is the profit percentage?

  1. A30%
  2. B27.5%
  3. C20%
  4. D25%
Show answer
Answer: (D) 25% Profit = ₹130; profit % = 130 ÷ 520 × 100 = 25%.
Question 3

Two successive discounts of 15% and 10% are equivalent to a single discount of

  1. A12.5%
  2. B23.5%
  3. C25.5%
  4. D22%
Show answer
Answer: (B) 23.5% Equivalent discount = 15 + 10 − (15 × 10)/100 = 23.5%.
Question 4

A shopkeeper buys an item for ₹3,400 and sells it at a loss of 10%. What is the selling price?

  1. A₹3,060
  2. B₹3,110
  3. C₹3,390
  4. D₹3,740
Show answer
Answer: (A) ₹3,060 SP = CP × (100 − 10)/100 = ₹3,060.
Question 5

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

  1. A40%
  2. B45%
  3. C22.5%
  4. D42%
Show answer
Answer: (A) 40% Equivalent discount = 25 + 20 − (25 × 20)/100 = 40%.
Question 6

An article bought for ₹1,720 is sold for ₹2,236. What is the profit percentage?

  1. A30%
  2. B35%
  3. C32.5%
  4. D23.08%
Show answer
Answer: (A) 30% Profit = ₹516; profit % = 516 ÷ 1720 × 100 = 30%.
Question 7

A shopkeeper buys an item for ₹3,800 and sells it at a loss of 25%. What is the selling price?

  1. A₹2,850
  2. B₹3,775
  3. C₹2,900
  4. D₹2,800
Show answer
Answer: (A) ₹2,850 SP = CP × (100 − 25)/100 = ₹2,850.
Question 8

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

  1. A60%
  2. B30%
  3. C54%
  4. D52%
Show answer
Answer: (D) 52% Equivalent discount = 40 + 20 − (40 × 20)/100 = 52%.
Question 9

The marked price of a watch is ₹3,150 and a discount of 20% is given. What is the selling price?

  1. A₹2,362.50
  2. B₹2,520
  3. C₹2,950
  4. D₹2,677.50
Show answer
Answer: (B) ₹2,520 SP = 3150 × (100 − 20)/100 = ₹2,520.
Question 10

An article bought for ₹800 is sold for ₹900. What is the profit percentage?

  1. A11.11%
  2. B15%
  3. C12.5%
  4. D17.5%
Show answer
Answer: (C) 12.5% Profit = ₹100; profit % = 100 ÷ 800 × 100 = 12.5%.

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Question 11

A shopkeeper buys an item for ₹3,300 and sells it at a loss of 25%. What is the selling price?

  1. A₹3,275
  2. B₹2,475
  3. C₹4,125
  4. D₹2,425
Show answer
Answer: (B) ₹2,475 SP = CP × (100 − 25)/100 = ₹2,475.
Question 12

The marked price of a watch is ₹1,350 and a discount of 10% is given. What is the selling price?

  1. A₹1,215
  2. B₹135
  3. C₹1,147.50
  4. D₹1,282.50
Show answer
Answer: (A) ₹1,215 SP = 1350 × (100 − 10)/100 = ₹1,215.
Question 13

An article bought for ₹440 is sold for ₹484. What is the profit percentage?

  1. A9.09%
  2. B10%
  3. C7.5%
  4. D15%
Show answer
Answer: (B) 10% Profit = ₹44; profit % = 44 ÷ 440 × 100 = 10%.
Question 14

A shopkeeper buys an item for ₹2,500 and sells it at a loss of 20%. What is the selling price?

  1. A₹2,000
  2. B₹2,480
  3. C₹3,000
  4. D₹1,950
Show answer
Answer: (A) ₹2,000 SP = CP × (100 − 20)/100 = ₹2,000.
Question 15

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

  1. A21%
  2. B17.5%
  3. C20%
  4. D19%
Show answer
Answer: (D) 19% Equivalent discount = 10 + 10 − (10 × 10)/100 = 19%.
Question 16

The marked price of a watch is ₹700 and a discount of 20% is given. What is the selling price?

  1. A₹525
  2. B₹560
  3. C₹595
  4. D₹140
Show answer
Answer: (B) ₹560 SP = 700 × (100 − 20)/100 = ₹560.
Question 17

An article bought for ₹280 is sold for ₹364. What is the profit percentage?

  1. A30%
  2. B35%
  3. C27.5%
  4. D23.08%
Show answer
Answer: (A) 30% Profit = ₹84; profit % = 84 ÷ 280 × 100 = 30%.
Question 18

A shopkeeper buys an item for ₹3,600 and sells it at a loss of 20%. What is the selling price?

  1. A₹4,320
  2. B₹2,930
  3. C₹3,580
  4. D₹2,880
Show answer
Answer: (D) ₹2,880 SP = CP × (100 − 20)/100 = ₹2,880.
Question 19

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

  1. A26.5%
  2. B30%
  3. C15%
  4. D28%
Show answer
Answer: (D) 28% Equivalent discount = 20 + 10 − (20 × 10)/100 = 28%.
Question 20

The marked price of a watch is ₹2,150 and a discount of 20% is given. What is the selling price?

  1. A₹1,720
  2. B₹1,827.50
  3. C₹430
  4. D₹1,612.50
Show answer
Answer: (A) ₹1,720 SP = 2150 × (100 − 20)/100 = ₹1,720.

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