document.write( "Question 1025422: The store's markup on a wholesale item is 40%. The store is currently having a sale, and the item sells for 25% off the retail price. What is the percent of profit made by the store? \n" ); document.write( "
Algebra.Com's Answer #640701 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the store buys it wholesale at 40% off the retail price. \n" ); document.write( "the store then sells it at a discount of 25% off the retail price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the retail price. \n" ); document.write( "the store buys it at 40% off the retail price. \n" ); document.write( "the store pays x - .4 * x = .6 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the store then sells it at 25% off the retail price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the store sells it at x - .25 * x = .75 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cost to the store is .6 * x. \n" ); document.write( "the store sells it at .75 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the profit to the store is the selling price minus the cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that becomes .75 * x - .6 * x which is equal to .15 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the percent profit that the store makes is the profit that the store makes divided by the cost to the store * 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that becomes .15 * x / .60 * x = .15 / .60 = .25 * 100 = 25%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if we put this in numbers, you might be able to see better.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume the retail price is 100 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the wholesale price is 60 dollars, which is 40% off the retail price of 100 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the store sells it at 25% off the retail price.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the store therefore sells it at 75 dollars, which is 25% off the retail price of 100 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the cost to the store is 60 dollars and the store sells it for 75 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the store makes a 15 dollar profit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "percent profit is equal to (profit divided by cost) times 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this becomes (15 / 60) * 100 = 25%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |