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A man sold an article for Rs.75 and lost something. had he sold it for Rs. 96, his gain would have been double the former loss. The C.P. of the article is?

Rs. 81
Rs. 82
Rs. 83
Rs. 85.5

Correct Answer: Rs. 82

Explanation:

Let the loss be Rs. x
Then 75 = C.P. - x
and 96 = C.P. + 2x
On subtracting we get,
3x = 21
⇒ x = 7
∴ C.P. = 75 + x = Rs. 82

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