A shopkeeper sells an article for ₹1,200 at a 20% profit. At what price (in ₹) should he sell the article to incur a loss of 10%?
₹900
Selling price at a 20% profit equals \(1.20\) times the cost price.
So the cost price is \(\text{CP} = \dfrac{1200}{1.20} = 1000\).
Selling price at a 10% loss equals \(0.90\times\text{CP} = 0.90\times 1000 = 900\).
Hence, the article should be sold at ₹900 to incur a 10% loss.
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