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A dealer offers a cash discount of 20% and still makes a profit of 20%, when he further allows 16, articles to a dozen to a particularly sticky bargainer. How much percent above the cost price were his wares listed?

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Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP= X + 20% of X = 1.2x. It is given that he incurs loss by selling 16 articles at the cost of 12 articles His selling price = SP - 25% of SP = SP*0.75; Hence, SP*0.75 = 1.2X. Or, SP = (1.2*x/0.75) = 1.6X. This SP is arrived...
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Let the CP of the article be Rs. x, since he earns a profit of 20%, hence SP= X + 20% of X = 1.2x. It is given that he incurs loss by selling 16 articles at the cost of 12 articles [loss = (16-12)/16 = 25%] His selling price = SP - 25% of SP = SP*0.75; Hence, SP*0.75 = 1.2X. Or, SP = (1.2*x/0.75) = 1.6X. This SP is arrived after giving a discount of 20% on MP. Let MP = Y. Y - 20% of Y = SP 0.80Y = 1.6X. Y = 2X. It means that the article has been marked 100% above the cost price. Or Marked Price was twice of cost price. read less
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B.E, MBA (IIFT, New Delhi), Pursuing Ph. D. from IIT Bombay

Assuming Selling price is P and Cost price is C. The price charged for selling 16 item is equal to that of 12 items (as 16 articles are allowed for a dozen) = 12*P There is cash discount of 20% thus net amount received by the buyer = 12*P*0.8 From cost point of view, 16 items are sold = Total Cost...
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Assuming Selling price is P and Cost price is C. The price charged for selling 16 item is equal to that of 12 items (as 16 articles are allowed for a dozen) = 12*P There is cash discount of 20% thus net amount received by the buyer = 12*P*0.8 From cost point of view, 16 items are sold = Total Cost = 16*C Even after giving discount and free items, the seller is making 20% profit on total cost. Hence: 12*P*0.8 = 1.2*16*C On solving you get P = 2*C Thus cost (C) is double, or 100% above the selling price (P) read less
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