Question
A shopkeeper sells an article at a loss of 25%. If he
had sold it for Rs 240 more, he would have made a profit of 15%. Find the cost price of the article.Solution
Let cost price = Rs x. Selling at 25% loss: SP₁ = 0.75x If sold for 240 more: SP₂ = 0.75x + 240 Given that SP₂ gives 15% profit: SP₂ = 1.15x So, 0.75x + 240 = 1.15x 240 = 1.15x − 0.75x 240 = 0.40x x = 240 / 0.40 = 600 Answer: Cost price = Rs 600.
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