Free Profit and Loss MCQs with Answers

172 Profit and Loss MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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172 questions · page 4 of 9

  • A. Rs. 385
  • B. Rs. 390
  • C. Rs. 395
  • D. Rs. 400

Explanation: If the cost price is x rupees, equal profit and loss give Rs. 425 - x = x - Rs. 355. Thus 2x = Rs. 780 and x = Rs. 390.

Correct answer: Rs. 390
  • A. Rs. 40
  • B. Rs. 50
  • C. Rs. 60
  • D. Rs. 70

Explanation: Let the cost price be x rupees. Since the profit percentage has the same numerical value as the C.P., profit = x²/100 rupees, and the…

Correct answer: Rs. 50
  • A. No loss or gain
  • B. Loss of Rs. 1000
  • C. Gain of Rs. 1000
  • D. Gain of Rs. 2000

Explanation: For the horse, Rs. 12,000 is 80% of its cost price, so its C.P. was Rs. 12,000 ÷ 0.80 = Rs. 15,000. For the cow, Rs.

Correct answer: Loss of Rs. 1000
  • A. 0.25 % loss
  • B. 0.25 % gain
  • C. 25% loss
  • D. 25% gain

Explanation: The first house cost Rs. 780,000 ÷ 1.05 = Rs. 742,857.14, while the second cost Rs. 780,000 ÷ 0.95 = Rs. 821,052.63. Total C.P. = Rs.

Correct answer: 0.25 % loss
  • A. No profit No loss
  • B. Profit of Rs. 1000
  • C. Profit of Rs. 1100
  • D. Profit of Rs. 2000

Explanation: A sells the house for Rs. 10,000 × 1.10 = Rs. 11,000. B then sells it back for Rs. 11,000 × 0.90 = Rs. 9,900, so A receives Rs.

Correct answer: Profit of Rs. 1100
  • A. Rs. 14.40
  • B. Rs. 16.00
  • C. Rs. 16.80
  • D. Rs. 19.20

Explanation: The total cost is 4 dozen × Rs. 12 = Rs. 48 plus 2 dozen × Rs. 16 = Rs. 32, giving Rs. 80 for 6 dozen. Cost per dozen = Rs.

Correct answer: Rs. 16.00
  • A. 15.5
  • B. 40
  • C. 60
  • D. None of these

Explanation: Total cost = Rs. 7,200 + Rs. 200 + Rs. 600 = Rs. 8,000. Total selling price = 330 × Rs. 28 = Rs. 9,240, so profit = Rs. 9,240 - Rs.

Correct answer: 15.5
  • A. 5
  • B. 8
  • C. 10
  • D. 15

Explanation: Selling 12 oranges for Rs. 1 at a 20% loss means their cost is Rs. 1 ÷ 0.80 = Rs. 1.25.

Correct answer: 8
  • A. 9
  • B. 10
  • C. 11
  • D. 11 1/9

Explanation: He charges the cost price of 1,000 grams but supplies only 900 grams. If 900 grams costs Rs. 90, he collects Rs. 100, so profit is Rs.

Correct answer: 11 1/9
  • A. 22
  • B. 24
  • C. 25
  • D. 26

Explanation: Selling 20 articles for Rs. 60 at a 20% gain means their total cost was Rs. 60 ÷ 1.20 = Rs. 50. Therefore, each article cost Rs.

Correct answer: 24
  • A. 40
  • B. 60
  • C. 240
  • D. 250

Explanation: Let the selling price be Rs. 100. Then the cost price is 40% of it, or Rs. 40, so the selling price as a percentage of cost price is (Rs.

Correct answer: 250
  • A. Rs. 300
  • B. Rs. 320
  • C. Rs. 440
  • D. Rs. 500Primary & Secondary Schooling (K-12)

Explanation: Let the selling price be x rupees. A gain of 20% of the selling price means x - Rs. 400 = 0.20x, so 0.80x = Rs. 400 and x = Rs. 500.

Correct answer: Rs. 500Primary & Secondary Schooling (K-12)
  • A. 10%
  • B. 11%
  • C. 21%
  • D. 100%

Explanation: The cost of one book is Rs. 10 ÷ 11, while the selling price of one book is Rs. 11 ÷ 10. The ratio of S.P. to C.P.

Correct answer: 21%
  • A. Rs. 400
  • B. Rs. 600
  • C. Cannot be determined
  • D. None of these

Explanation: For the greatest possible profit, take the lowest purchase price, Rs. 200, and the highest selling price, Rs. 425. Profit per book = Rs.

Correct answer: None of these
  • A. 10%
  • B. 15%
  • C. 20%
  • D. 25%

Explanation: The cost of 320 mangoes is the cost of 320 mangoes, while the selling price equals the cost of 400 mangoes.

Correct answer: 25%
  • A. Rs. 6
  • B. Rs. 6.48
  • C. Rs. 7.02
  • D. Rs. 7.20

Explanation: Rs. 5.40 is 90% of the cost price because it represents a 10% loss, so cost price = Rs. 5.40/0.90 = Rs. 6.00 per kg.

Correct answer: Rs. 7.20
  • A. Rs. 12
  • B. Rs. 12.96
  • C. Rs. 14.40
  • D. None of these

Explanation: Rs. 10.80 represents 90% of the cost price, so cost price = Rs. 10.80/0.90 = Rs. 12.00 per piece. A 20% profit requires Rs.

Correct answer: Rs. 14.40
  • A. 20%
  • B. 50%
  • C. 19 ½ %
  • D. 56 ¼ %

Explanation: The cost of one article is Rs. 8/10 = Rs. 0.80, while its selling price is Rs. 1.25. Gain per article = Rs. 1.25 - Rs. 0.80 = Rs.

Correct answer: 56 ¼ %
  • A. 24.5
  • B. 28.5
  • C. 30
  • D. Data inadequate
  • E. None of these

Explanation: Take the cost price as Rs. 100. A profit of 23.5% means the discounted selling price is Rs.

Correct answer: 30
  • A. Rs. 8400
  • B. Rs. 8721
  • C. Rs. 8856
  • D. None of these

Explanation: Successive discounts are applied one after another: Rs. 12,000 x 0.85 = Rs. 10,200, then Rs. 10,200 x 0.90 = Rs. 9,180, and finally Rs.

Correct answer: Rs. 8721