Question 137
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
Solution
Let x be the cost price. so the profit percent is also x.
Given , %gain = P
$$\frac{(SP-CP)}{CP}\times 100 = CP$$
$$\frac{(144-x)}{x}\times 100 = x$$
$$x^{2}$$+100x-14400 =0
x =-180 or x= 80
So, CP =80.
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