By selling an article for ₹131.25, 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 (in ₹) should he sell the article?

105

Let the cost price of the article = x

Profit% = x

So, According to the question,

x + \(\frac{x × x}{100}\) = 131.25

x2 + 100x - 13125 = 0

(x + 175) (x - 75) = 0

S0, x = 75

Now, the selling price of the article at a gain of 40% = 140% of 75 = 105