Question
A shopkeeper sold an article at a profit of 25%. If he
had sold it for Rs 60 more, his profit would have been 35%. What is the cost price of the article?Solution
ATQ, Let cost price = Rs x 25% profit SP = x + (25/100)x = (125/100)x = (5/4)x 35% profit SP = x + (35/100)x = (135/100)x = (27/20)x Difference in selling prices = 60 ⇒ (27/20)x − (5/4)x = 60 Convert (5/4)x to denominator 20: (5/4)x = (25/20)x So, (27/20)x − (25/20)x = (2/20)x = (1/10)x (1/10)x = 60 ⇒ x = 600
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