Question
A shopkeeper marks an article at Rs 600. He offers a
discount of 10% on the marked price and still makes a profit of 20% on the cost price. Find the cost price and the selling price of the article.Solution
Marked Price (MP) = 600 Discount = 10% of 600 = 60 Selling Price (SP) = 600 − 60 = 540 Let Cost Price (CP) = C. Profit = 20% of CP = (20/100)C = C/5 So, SP = CP + Profit 540 = C + C/5 = (6C/5) ⇒ 6C/5 = 540 ⇒ C = 540 × 5 / 6 = 450 Answer: Cost Price = Rs 450 Selling Price = Rs 540
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