An article is sold at Rs. X. If it is sold at 54.54% of X, there is a loss of 20%. What is the profit percentage when it is sold at Rs. X? MCQ with Answer and Explanation

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An article is sold at Rs. X. If it is sold at 54.54% of X, there is a loss of 20%. What is the profit percentage when it is sold at Rs. X?

A. 42.5%

B. 46.66%

C. 50%

D. 45%

Answer: Option B

Solution (By JKExamLibrary)

54.54% = 6/11. Selling at (6/11) * X results in 20% loss, meaning Selling Price = 0.80 * Cost Price. (6/11) * X = 0.80 * Cost Price. X = (0.80 * 11 / 6) * Cost Price = (8.8 / 6) * Cost Price = (88 / 60) * Cost Price = (22 / 15) * Cost Price. Profit = (22 / 15) - 1 = 7 / 15. Profit percentage = (7 / 15) * 100 = 46.66%.

This question belongs to: Maths Profit And Loss

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Practice More Profit And Loss Questions

Question #1 Report Error

A shopkeeper sells an item at a profit of 25%. If the cost price is Rs. 800, what is the selling price?

A. Rs. 900

B. Rs. 1000

C. Rs. 1050

D. Rs. 1100

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Correct Answer: Option B

Explanation:
SP = CP + 25% of CP = 800 + 200 = Rs. 1000.

This question belongs to: Maths Profit And Loss

Question #2 Report Error

If the cost price of an item is Rs. 560 and it is sold at a profit of 15%, what is the selling price?

A. Rs. 640

B. Rs. 650

C. Rs. 660

D. Rs. 644

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Correct Answer: Option D

Explanation:
SP = 560*1.15 = 644.

This question belongs to: Maths Profit And Loss

Question #3 Report Error

An item is sold at Rs. 360, earning a profit of 20%. What would be the selling price if it is sold at a loss of 20%?

A. Rs. 260

B. Rs. 280

C. Rs. 250

D. Rs. 240

View Answer & Solution Discuss

Correct Answer: Option D

Explanation:
SP1 = 1.2 CP => CP = 360/1.2 = 300. Loss 20% => SP = 300*0.8 = 240.

This question belongs to: Maths Profit And Loss

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