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. 46.66%

B. 50%

C. 45%

D. 42.5%

Answer: Option A

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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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. 10% Profit

B. 15% Profit

C. 13.33% Profit

D. 11.5% Profit

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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