By selling an article for Rs. 144, a man gained such that

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By selling an article for Rs. 144, a man gained such that the percentage gain equal the cost price. The C.P. of the article is ?

1. Rs. 60
2. Rs. 64
3. Rs. 72
4. Rs. 80

Correct Option: D

Let the cost price of article be P.
So from question,
Selling price = P + P%
⇒ 144 = P + (P x P)/100
⇒ 144 x 100 = 100P + P²
⇒ P² + 100P - 14400 = 0
⇒ (P - 80)(P +180) = 0
∴ P = 80