A dealer sells an article for Rs.75 and gains as much percent as the cost price of the article. Find the cost price of the article.
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Let the Cost price be x .
SP = 1 0 0 x ( 1 0 0 + x )
⟹ 7 5 0 0 = 1 0 0 x + x 2
⟹ x 2 + 1 0 0 x = 7 5 0 0 = 0
⟹ x = 2 − 1 0 0 ± 2 0 0 = 5 0 (Since price is positive).