By selling an article for 144, a person gained such that the percentage gain equals the cost price of the article. The cost price of the article is ?->(Show Answer!)

1. By selling an article for 144, a person gained such that the percentage gain equals the cost price of the article. The cost price of the article is

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By: anil on 05 May 2019 02.01 am

Let x be the cost price. so the profit percent is also x.
Given , %gain = P
$$frac{(SP-CP)}{CP} imes 100 = CP$$
$$frac{(144-x)}{x} imes 100 = x$$
$$x^{2}$$+100x-14400 =0
x =-180 or x= 80
So, CP =80.

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