A dealer sells an article for ₹ 75 and gains as much percent as the cost price of the article. Find the cost price of the article.
Explanation
Let's assume the cost price of the article is x. The dealer sells the article for ₹ 75 and gains as much percent as the cost price. This means that the gain is x% of x, which is x^2/100. The selling price is the sum of the cost price and the gain, which is x + x^2/100. Since the selling price is ₹ 75, we can set up the equation x + x^2/100 = 75. Solving this equation, we get x = 60.
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