document.write( "Question 1035249: Hi
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document.write( "a car salesman purchases 10 cars for 12000 dollars each. He sells 7 of them at a profit of 16 percent each. He wishes to sell the remaining 3 carsfor the same price each and at a price that will give him a 15 percent profit overall for the 10 cars.what price should he sell each of the remaining cars for.\r
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document.write( "thank u \n" );
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Algebra.Com's Answer #649913 by Theo(13342)![]() ![]() You can put this solution on YOUR website! if he wants to make 15% overall, then his total profit needs to be 10 * 12000 * .15 = 18000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he sold 7 at 16% profit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "profit on the 7 was therefore 7 * 12000 * 16/100 = 13440.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the remaining 3 need to earn him 18000 - 13440 = 4560.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get 3 * x = 4560.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 4560 / 3 = 1520.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1520 / 12000 = .1266666.....\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply that by 100 and you get that he needs to earn 12 and 2/3 % profit on the remaining 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 * 16 / 100 * 12000 = 13440 \n" ); document.write( "3 * (12 + 2/3) / 100 * 12000 = 4560 \n" ); document.write( "13440 + 4560 = 18000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total profit is 18000. \n" ); document.write( "18000 / (10 * 12000) = 18000 / 120000 = .15 = 15%.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |