Question
The difference in selling price of article for selling
at 25% profit and 37.5% a loss is ₹ 1250. What will be selling price when it is sold at 12.5% profit?Solution
Let the cost price of an article be 100x. ⇒ Selling price at 25% profit = 100x × (100 + 25)% = 125x ⇒ Selling price at 37.5% loss = 100x × (100 – 37.5)% = 62.5x ⇒ The difference in selling price of article for selling at 25% profit and 37.5% loss = 125x – 62.5x ⇒ 1250 = 62.5x ⇒ x = 20 ⇒ The cost price of the article = 100x = Rs. 2000 If profit 12.5% ⇒ Selling price = 2000 × (100 + 12.5)% = Rs. 2250 ∴ Selling price when it is sold at 12.5% profit will be Rs. 2250.
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