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

Question

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. 45%

B. 42.5%

C. 46.66%

D. 50%

Answer: Option C

Solution (By JKSSB Mock Tests)

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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Question #1

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A person buys 100 items at Rs. 50 each and sells them at Rs. 60 each. What is the profit percentage?

A. 25%

B. 30%

C. 15%

D. 20%

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Correct Answer: Option D

Explanation:
CP = 5000, SP = 6000, profit = 1000, profit% = 1000/5000*100=20%.

This question belongs to: Maths Profit And Loss

Question #2

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A dishonest dealer cheats by 10% while buying and 10% while selling using false weights. He marks up his goods by 20% and gives a discount of 10%. Find his true overall profit percentage.

A. 32%

B. 33.1%

C. 28%

D. 30.68%

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Correct Answer: Option A

Explanation:
Multiplier factor = (110 / 100) * (100 / 90) * (120 / 100) * (90 / 100). Value = 1.1 * 1.1111 * 1.2 * 0.9 = 1.32. Profit percentage = 32%.

This question belongs to: Maths Profit And Loss