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A dealer marked the price of an item 40% above the cost price. He allowed two successive discounts of…

The selling price is ₹ 2,352. If the cost price is \(C\), the selling price is \(1.40C\times0.80\times0.75\) \(=0.84C\). The loss is therefore \(0.16C=448\), giving…

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A dealer marked the price of an item 40% above the cost price. He allowed two successive discounts of 20% and 25% to a particular customer. As a result he incurred a loss of ₹ 448. At what price did he sell the item to the said customer ?

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Correct answer A

The selling price is ₹ 2,352. If the cost price is CC, the selling price is 1.40C×0.80×0.751.40C\times0.80\times0.75 =0.84C=0.84C. The loss is therefore 0.16C=4480.16C=448, giving C=2800C=2800 and a selling price of 0.84×2800=23520.84\times2800=2352.

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