document.write( "Question 262679: Sassy Fashions buys dresses at wholesale and then marks them up for retail sale. They recently sold a dress at a 40% discount off of their marked-up price. What percent mark-up did they originally apply to the dress if they broke even on the sale? Express your answer to the nearest whole percent \n" ); document.write( "
Algebra.Com's Answer #193481 by Theo(13342)![]() ![]() You can put this solution on YOUR website! markup price = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "dress sold at x - .4*x = .6*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cost of the dress = c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they broke even after selling the dress.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c = .6*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = c/.6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is the same as x = 1/.6 * c which is the same as 1.66666666 * c.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".66666666... is the same as 2/3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they originally marked the dress up by 2/3 of the cost of the dress.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's how it works:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume the original cost of the dress was 12 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they marked it up by 2/3 of the cost = 2/3 * 12 = 24/3 = 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the marked up price of the dress is 12 + 8 = 20 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they discounted 40% off the marked up price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the dress is now 20 dollars minus .4 * 20 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since .4 * 20 = 8, this becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 dollars minus 8 dollars = 12 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the dress is sold at cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they marked the dress up by 67%\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2/3 = .66666666... * 100% = 66.666666...% = 67% rounded to the nearest integer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |