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A merchant sold his goods for Rs. 75 at a profit percent equal to C.P. The C.P. was?

Rs. 40
Rs. 50
Rs. 60
Rs. 70

Correct Answer: Rs. 50

Explanation:

Let C.P. = Rs. x
∵ x + x% of x = 75
⇒ x + x² / 100 = 75
⇒ x² + 100 x - 7500 = 0
⇒ (x + 150)(x - 50) = 0
∴ x = 50

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