By selling an article for 131.25 Rs. a trader gains as much percent as the number representing the cost price of the article. In order to earn 40% profit, at what price should he sell the article?

105

let CP = Rs.x

ATQ,

x × \(\frac{(100+ x)}{100}\) = S.P. = 131.25

x × \(\frac{(100+ x)}{100}\) = \(\frac{13125}{100}\)

x (100+x) = 13125

⇒ {75 × 175 = 13175}

Therefore,

x = 75

On 40% profit S.P. = 75 × \(\frac{140}{100}\) = 105