Profit and Loss MCQs with Answers and Explanations for Competitive Exams

Question #601

If selling price is multiplied by 3, the profit becomes 5 times the original profit. Find the original profit percentage.

A. 125%

B. 100%

C. 150%

D. 50%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let original SP = S, CP = C. Profit P = S - C. New SP = 3S. New Profit = 3S - C. Given: 3S - C = 5(S - C). 3S - C = 5S - 5C. 4C = 2S. S = 2C. Profit = 2C - C = C. Profit % = (C/C) * 100 = 100%.

This question belongs to: Maths Profit And Loss

Question #602

Share Report

By selling 90 ball pens for Rs. 160, a person loses 20%. How many ball pens should be sold for Rs. 96 so as to have a profit of 20%?

A. 24

B. 32

C. 40

D. 36

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
SP of 90 pens = 160. SP of 1 pen = 160/90 = 16/9. Loss = 20%, so CP of 1 pen = (16/9) / 0.8 = 20/9. Desired SP for 20% profit = 1.2 * (20/9) = 24/9 = 8/3. Number of pens for Rs. 96 = 96 / (8/3) = 96 * 3 / 8 = 36.

This question belongs to: Maths Profit And Loss

Question #603

Share Report

A shopkeeper mixes two qualities of rice priced at Rs. 40/kg and Rs. 50/kg in the ratio 3:2. At what price per kg should he sell the mixture to gain 20%?

A. Rs. 51.60

B. Rs. 50.40

C. Rs. 54.00

D. Rs. 52.80

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Cost of 5kg mixture = (3 * 40) + (2 * 50) = 120 + 100 = 220. CP per kg = 220 / 5 = 44. To gain 20%, SP = 44 * 1.2 = Rs. 52.80.

This question belongs to: Maths Profit And Loss

Question #604

Share Report

A manufacturer sells to a wholesaler at a profit of 10%. The wholesaler sells to a dealer at a profit of 20%. The dealer sells to a retailer at a profit of 15%. If the retailer paid Rs. 30360, what was the manufacturer's cost?

A. Rs. 24000

B. Rs. 25000

C. Rs. 20000

D. Rs. 22000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let cost be x. x * 1.1 * 1.2 * 1.15 = 30360. x * 1.518 = 30360. x = 30360 / 1.518 = 20000.

This question belongs to: Maths Profit And Loss

Question #605

Share Report

A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If its marked price is Rs. 800, then the cost price is:

A. Rs. 550

B. Rs. 500

C. Rs. 650

D. Rs. 600

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
SP = 90% of 800 = 720. Profit is 20%, so SP = 1.2 * CP. 1.2 * CP = 720. CP = 720 / 1.2 = Rs. 600.

This question belongs to: Maths Profit And Loss

Question #606

Share Report

Ravi sold an item for Rs. 4600 and incurred a loss. Had he sold it for Rs. 5800, his profit would have been double the loss. Find the cost price.

A. Rs. 4800

B. Rs. 5200

C. Rs. 5400

D. Rs. 5000

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let CP be x. Loss = x - 4600. Profit = 5800 - x. Given: 5800 - x = 2 * (x - 4600). 5800 - x = 2x - 9200. 3x = 15000. x = 5000.

This question belongs to: Maths Profit And Loss

Question #607

Share Report

An article is sold at 20% profit. If its cost price and selling price are both decreased by Rs. 100, the profit percentage becomes 25%. Find the original cost price.

A. Rs. 600

B. Rs. 500

C. Rs. 400

D. Rs. 450

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
Let original CP = x. Original SP = 1.2x. New CP = x - 100. New SP = 1.2x - 100. New profit = 25%. So, 1.2x - 100 = 1.25(x - 100). 1.2x - 100 = 1.25x - 125. 0.05x = 25. x = 500.

This question belongs to: Maths Profit And Loss

Question #608

Share Report

A shopkeeper allows 25% discount on the marked price of an article and suffers a loss of 15%. What will be his profit or loss percentage if he sells the article at marked price?

A. 11.5% Profit

B. 10% Profit

C. 13.33% Profit

D. 15% Profit

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let Marked Price (MP) = 100. SP = 75. Loss = 15%, so SP = 0.85 * CP. 0.85 * CP = 75. CP = 75 / 0.85 = 1500 / 17. If sold at MP (100), Profit = 100 - (1500/17) = 200/17. Profit % = ((200/17) / (1500/17)) * 100 = (200/1500) * 100 = 13.33%.

This question belongs to: Maths Profit And Loss

Question #609

Share Report

By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percentage during the sale season is:

A. 7.5%

B. 7%

C. 9%

D. 8%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Marked Price = 300. Original SP = 300. Profit = 20%, so CP = 300 / 1.2 = 250. Discount during sale = 10% on MP. New SP = 300 - 30 = 270. Profit = 270 - 250 = 20. Profit % = (20 / 250) * 100 = 8%.

This question belongs to: Maths Profit And Loss

Question #610

Share Report

A man buys oranges at 5 for Rs. 10 and an equal number at 4 for Rs. 10. He mixes them and sells them at 9 for Rs. 20. What is his profit or loss percentage?

A. 1.5% Loss

B. No profit no loss

C. 1% Loss

D. 1.23% Loss

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let he buy 20 of each (LCM of 5 and 4). CP1 = (10/5)*20 = 40. CP2 = (10/4)*20 = 50. Total CP = 90 for 40 oranges. SP of 40 oranges = (20/9) * 40 = 800/9 = 88.88. Loss = 90 - 88.88 = 1.11. Loss % = (1.11 / 90) * 100 = 1.23%.

This question belongs to: Maths Profit And Loss

Question #611

Share Report

I sold two watches for Rs. 300 each, one at a 10% loss and the other at a 10% profit. What is my total loss percentage?

A. 3%

B. 1%

C. 4%

D. 2%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
When two items are sold at the same price, one at x% profit and the other at x% loss, the overall transaction results in a loss of (x^2)/100 %. Loss % = (10*10)/100 = 1%.

This question belongs to: Maths Profit And Loss

Question #612

Share Report

The percentage of profit when an article is sold for Rs. 78 is twice than when it is sold for Rs. 69. The cost price of the article is:

A. Rs. 51

B. Rs. 57

C. Rs. 49

D. Rs. 60

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Let CP = x. Profit at 78 = 78 - x. Profit at 69 = 69 - x. Given: 78 - x = 2(69 - x). 78 - x = 138 - 2x. x = 138 - 78 = 60.

This question belongs to: Maths Profit And Loss

Question #613

Share Report

If goods are purchased for Rs. 450 and one-third is sold at a loss of 10%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction?

A. 32%

B. 40%

C. 30%

D. 35%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option D

Explanation:
Total cost = 450. Total desired SP = 450 * 1.2 = 540. CP of one-third = 150. SP of one-third at 10% loss = 150 * 0.9 = 135. Required SP for remainder = 540 - 135 = 405. CP of remainder = 300. Profit required = 405 - 300 = 105. Profit % = (105 / 300) * 100 = 35%.

This question belongs to: Maths Profit And Loss

Question #614

Share Report

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?

A. Rs. 260

B. Rs. 240

C. Rs. 280

D. Rs. 220

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option B

Explanation:
SP = 1.2 * CP = 1.2 * 170 = 204. Marked Price (MP) - 15% of MP = SP. 0.85 * MP = 204. MP = 204 / 0.85 = 240.

This question belongs to: Maths Profit And Loss

Question #615

Share Report

A dishonest dealer marks up his goods by 20% and gives a discount of 10%. Besides, he uses a faulty balance which reads 1 kg for 800g. What is his net profit percentage?

A. 30%

B. 40%

C. 35%

D. 45%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option C

Explanation:
Let true CP of 1000g be 1000. He marks it at 1200 and sells at a 10% discount, making SP = 1080. But he gives only 800g. The actual CP for him is 800. Net Profit = 1080 - 800 = 280. Net Profit % = (280 / 800) * 100 = 35%.

This question belongs to: Maths Profit And Loss

Question #616

Share Report

A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by:

A. 50%

B. 40%

C. 60%

D. 65%

View Answer & Solution Discuss

Get Complete Subject PDF for Maths

Correct Answer: Option A

Explanation:
Let MP of 1 article = 100. Customer gets 16 articles but pays for 15. Total paid = 15 * 96 (4% discount) = 1440. Total CP of 16 articles = 16x. SP = 1440. Profit = 35%. 1.35 * 16x = 1440. 21.6x = 1440. x = 1440 / 21.6 = 66.66. MP is 100. Increase % = ((100 - 66.66) / 66.66) * 100 = 50%.

This question belongs to: Maths Profit And Loss

Profit And Loss MCQs

Practice Questions

More Maths Topics