Question
A shopkeeper sells an article at a loss of 15%. If he
had sold it for Rs. 150 more, he would have made a profit of 10%. Find the cost price of the article.Solution
Let cost price = x Selling at 15% loss: SP₁ = 0.85x Selling at 10% profit: SP₂ = 1.10x Given SP₂ = SP₁ + 150 1.10x = 0.85x + 150 1.10x − 0.85x = 150 0.25x = 150 x = 150 / 0.25 = 600 Answer: Cost price = Rs. 600
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