document.write( "Question 1054653: a man sold two for Rs 1000 each.on one he again 30% and ane other he losses 20%.find the overall gain or loss % \n" ); document.write( "
Algebra.Com's Answer #670103 by Theo(13342)![]() ![]() You can put this solution on YOUR website! he sold two units of something for 1000 apiece. \n" ); document.write( "on the first unit he gains 30%. \n" ); document.write( "on the second unit he loses 20%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the cost of the first unit. \n" ); document.write( "let y = the cost of the second unit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + .3 * x = 1000 \n" ); document.write( "y - .2 * y = 1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify these equations to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1.3 * x = 1000 \n" ); document.write( ".8 * y = 1000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in the first equation, solve for x to get x = 1000 / 1.3 = 769.2307692. \n" ); document.write( "in the second equation, solve for y to get y = 1000 / .8 = 1250.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your combined cost is x + y = 769.2307692 + 1250 = 2019.230769.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your combined sale price is 1000 + 1000 = 2000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your combined gain is the combined sale price minus the combined cost which is 2000 - 2019.230769 which is equal to -19.230769.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since combined loss is the opposite of combined gain, then your combined loss becomes 19.230769.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your combined loss percent becomes equal to your combined loss divided by your combined cost * 100 which becomes equal to 19.230769 / 2019.230769 * 100 which becomes equal to .9523809411% which can be rounded to .95%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your combined loss percent.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |