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DRDO CEPTAM Profit, Loss & Discount Questions with Answers & Explanations

20 Profit, Loss & Discount questions from the Quantitative Ability section of DRDO CEPTAM, 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

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

  1. A38%
  2. B36%
  3. C40%
  4. D34.5%
Show answer
Answer: (B) 36% Equivalent discount = 20 + 20 − (20 × 20)/100 = 36%.
Question 2

A shopkeeper buys an item for ₹1,600 and sells it at a loss of 15%. What is the selling price?

  1. A₹1,360
  2. B₹1,310
  3. C₹1,410
  4. D₹1,585
Show answer
Answer: (A) ₹1,360 SP = CP × (100 − 15)/100 = ₹1,360.
Question 3

Two successive discounts of 10% and 5% are equivalent to a single discount of

  1. A16.5%
  2. B14.5%
  3. C15%
  4. D7.5%
Show answer
Answer: (B) 14.5% Equivalent discount = 10 + 5 − (10 × 5)/100 = 14.5%.
Question 4

The marked price of a watch is ₹2,500 and a discount of 10% is given. What is the selling price?

  1. A₹2,400
  2. B₹2,250
  3. C₹2,375
  4. D₹2,125
Show answer
Answer: (B) ₹2,250 SP = 2500 × (100 − 10)/100 = ₹2,250.
Question 5

An article bought for ₹1,200 is sold for ₹1,440. What is the profit percentage?

  1. A17.5%
  2. B25%
  3. C16.67%
  4. D20%
Show answer
Answer: (D) 20% Profit = ₹240; profit % = 240 ÷ 1200 × 100 = 20%.
Question 6

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

  1. A₹2,475
  2. B₹4,125
  3. C₹2,525
  4. D₹3,275
Show answer
Answer: (A) ₹2,475 SP = CP × (100 − 25)/100 = ₹2,475.
Question 7

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

  1. A17.5%
  2. B19%
  3. C20%
  4. D10%
Show answer
Answer: (B) 19% Equivalent discount = 10 + 10 − (10 × 10)/100 = 19%.
Question 8

The marked price of a watch is ₹2,300 and a discount of 30% is given. What is the selling price?

  1. A₹690
  2. B₹1,725
  3. C₹1,610
  4. D₹1,495
Show answer
Answer: (C) ₹1,610 SP = 2300 × (100 − 30)/100 = ₹1,610.
Question 9

An article bought for ₹1,720 is sold for ₹1,892. What is the profit percentage?

  1. A9.09%
  2. B15%
  3. C10%
  4. D7.5%
Show answer
Answer: (C) 10% Profit = ₹172; profit % = 172 ÷ 1720 × 100 = 10%.
Question 10

A shopkeeper buys an item for ₹2,300 and sells it at a loss of 5%. What is the selling price?

  1. A₹2,235
  2. B₹2,415
  3. C₹2,135
  4. D₹2,185
Show answer
Answer: (D) ₹2,185 SP = CP × (100 − 5)/100 = ₹2,185.

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Question 11

The marked price of a watch is ₹3,900 and a discount of 20% is given. What is the selling price?

  1. A₹3,120
  2. B₹3,700
  3. C₹3,315
  4. D₹780
Show answer
Answer: (A) ₹3,120 SP = 3900 × (100 − 20)/100 = ₹3,120.
Question 12

An article bought for ₹1,840 is sold for ₹1,932. What is the profit percentage?

  1. A7.5%
  2. B5%
  3. C10%
  4. D2.5%
Show answer
Answer: (B) 5% Profit = ₹92; profit % = 92 ÷ 1840 × 100 = 5%.
Question 13

A shopkeeper buys an item for ₹2,200 and sells it at a loss of 20%. What is the selling price?

  1. A₹2,180
  2. B₹1,810
  3. C₹1,760
  4. D₹1,710
Show answer
Answer: (C) ₹1,760 SP = CP × (100 − 20)/100 = ₹1,760.
Question 14

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

  1. A30%
  2. B28%
  3. C26.5%
  4. D15%
Show answer
Answer: (B) 28% Equivalent discount = 20 + 10 − (20 × 10)/100 = 28%.
Question 15

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

  1. A₹595
  2. B₹560
  3. C₹525
  4. D₹140
Show answer
Answer: (B) ₹560 SP = 700 × (100 − 20)/100 = ₹560.
Question 16

An article bought for ₹760 is sold for ₹874. What is the profit percentage?

  1. A17.5%
  2. B15%
  3. C20%
  4. D12.5%
Show answer
Answer: (B) 15% Profit = ₹114; profit % = 114 ÷ 760 × 100 = 15%.
Question 17

A shopkeeper buys an item for ₹1,800 and sells it at a loss of 5%. What is the selling price?

  1. A₹1,760
  2. B₹1,710
  3. C₹1,660
  4. D₹1,795
Show answer
Answer: (B) ₹1,710 SP = CP × (100 − 5)/100 = ₹1,710.
Question 18

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

  1. A₹2,090
  2. B₹2,195
  3. C₹2,040
  4. D₹2,140
Show answer
Answer: (A) ₹2,090 SP = CP × (100 − 5)/100 = ₹2,090.
Question 19

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 20

An article bought for ₹200 is sold for ₹260. What is the profit percentage?

  1. A30%
  2. B27.5%
  3. C23.08%
  4. D32.5%
Show answer
Answer: (A) 30% Profit = ₹60; profit % = 60 ÷ 200 × 100 = 30%.

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