document.write( "Question 1084360: a trader marked his goods at 20% above the cost price if he allows his customer a 10% discount find his profit percent \n" ); document.write( "
Algebra.Com's Answer #698461 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let c be the cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he marks it up 20%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let m be the marked up price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m = c + .20 * c = 1.2 * c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he discounts it 10% off the marked up price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let d be the discount price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = m - .10 * m = .9 * m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since m = 1.2 * c, replace m with 1.2 * c and you get the discounted price as:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "d = .9 * (1.2 * c)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get d = 1.08 * 1.2 * c = 1.08 * c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he is selling at 8% above cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his profit margin is therefore 8%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume the cost is 100 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he marks it up 20% so the marked up price is 120 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he discount it 10% off the market up price, so he sells it at 90% of 120 dollars which is equal to 108 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his cost was 100 dollars. \n" ); document.write( "his discount price was 108 dollars. \n" ); document.write( "his profit is 8 dollars which is 8% more than his cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |