If an item is sold for Rs. 450 at a 10% loss, what was its cost price? MCQ with Answer and Explanation

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If an item is sold for Rs. 450 at a 10% loss, what was its cost price?

A. Rs. 480

B. Rs. 490

C. Rs. 520

D. Rs. 500

Answer: Option D

Solution (By JKSSB Mock Tests)

Selling Price is 90% of Cost Price. 0.90 * CP = 450. CP = 450 / 0.90 = Rs. 500.

This question belongs to: Maths Profit And Loss

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Question #1

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A man sells an article at a profit of 15%. If the cost price is Rs. 300, what is the selling price?

A. Rs. 345

B. Rs. 330

C. Rs. 360

D. Rs. 340

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Correct Answer: Option A

Explanation:
SP = 300 * 1.15 = 345.

This question belongs to: Maths Profit And Loss

Question #2

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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. 45%

B. 42.5%

C. 50%

D. 46.66%

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Correct Answer: Option D

Explanation:
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