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A person sold his watch for ₹ 75 and got a percentage profit equal to the cost price. The cost price of the watch is.

Correct Answer: ₹ 50

Explanation:

Let CP of the watch be ₹ N.
Then , According to the question,
[(75 - N)/ N] x 100 = N
⇒ (75 - N) x 100 = N2
⇒ N2 + 100N - 7500 = 0
⇒ N2 + 150N - 50N - 7500 = 0
⇒ N(N + 150) - 50 (N + 150) = 0
⇒ (N + 150) (N - 50) = 0
⇒ N = ₹ 50


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