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Which of the following is/are true? (A) If the selling price (SP) of an article is ₹40 and the gain is…

For A the cost price is \(40/1.15=34.78\), not ₹32, and for C the loss is \(100/500=20\) per cent, not 22 per cent. For B the selling price is \(150\times1.08=162\) and for…

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Which of the following is/are true?

(A) If the selling price (SP) of an article is ₹40 and the gain is 15 %, the cost price (CP) of the article is ₹32
(B) A man bought a toy for ₹150 and sold it at a profit of 8 %. He sold the toy for ₹162
(C) A man buys a cycle for ₹500, but due to some problem, he sells it for ₹400. He thus incurs a loss of 22 %
(D) Cost price of an article, if its SP is ₹210 and the loss is 30 %, is ₹300.

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Answer and explanation

Correct answer C

For A the cost price is 40/1.15=34.7840/1.15=34.78, not ₹32, and for C the loss is 100/500=20100/500=20 per cent, not 22 per cent. For B the selling price is 150×1.08=162150\times1.08=162 and for D the cost price is 210/0.7=300210/0.7=300, so both are correct. Hence B and D only.

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