document.write( "Question 1195046: A trader brought a television set for $47500.00. He allowed a customer a discount of 5% off marked price. If the trader still made a profit of 25%, calculate.
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document.write( "(a) the traders selling price to the customer
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document.write( "(b) the marked price \n" );
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Algebra.Com's Answer #827374 by Theo(13342)![]() ![]() You can put this solution on YOUR website! cost to trader = 47500.00 \n" ); document.write( "discount to customer = 5%. \n" ); document.write( "profit = 25% based on discounted selling price. \n" ); document.write( "selling price minus cost, divided by cost = profit. \n" ); document.write( "s = selling price. \n" ); document.write( "(s - 47500)/47500 = .25 \n" ); document.write( "multiply both sides of this equation by 47500 to get: \n" ); document.write( "s - 47500 = .25 * 47500 \n" ); document.write( "add 47500 to both sides of the equation to get: \n" ); document.write( "s = .25 * 47500 + 47500 = 59375. \n" ); document.write( "the cost was 47500 and the selling price was 59375. \n" ); document.write( "(59375 - 47500) / 47500 = .25 \n" ); document.write( "the selling price was a 5% discount over the marked price. \n" ); document.write( "m = markup price \n" ); document.write( "s = m - .05 * m = .95 * m \n" ); document.write( "solve for m to get: \n" ); document.write( "m = s / .95 = 59375 / .95 = 62500. \n" ); document.write( "the markup price was 62500. \n" ); document.write( "the discount was 5% * 62500 = 3125 \n" ); document.write( "the selling price was 62500 minus 3125 = 59375. \n" ); document.write( "the cost was 47500 \n" ); document.write( "the profit was (59375 - 47500) / 47500 = .25 = 25% \n" ); document.write( "answers to your questions are: \n" ); document.write( "If the trader still made a profit of 25%, calculate. \n" ); document.write( "(a) the traders selling price to the customer = 59375 \n" ); document.write( "(b) the marked price = 62500 \n" ); document.write( " \n" ); document.write( " |