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A shopkeeper sells an item at a discount of 40% on the item’s listed price of Rs. 1500.00. He still…

A discount of 40 percent on a list price of 1500 gives a selling price of \(1500\times0.60 = 900\). Since this includes a profit of 20 percent, the cost is \(\frac{900}{1.2}…

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A shopkeeper sells an item at a discount of 40% on the item’s listed price of Rs. 1500.00. He still makes a profit of 20% of the original cost of the item. What is the original cost of the item?

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A discount of 40 percent on a list price of 1500 gives a selling price of 1500×0.60=9001500\times0.60 = 900. Since this includes a profit of 20 percent, the cost is 9001.2=750\frac{900}{1.2} = 750. Hence the original cost is Rs. 750.

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