document.write( "Question 1134835: A and B contribute $140000 and $180000 respecrively in a business partnership. Of the profit, A receives 20% as manager and the rest is shared in the ratio of their capitals. What is the ratio of A's total share of the profit to B's? \n" ); document.write( "
Algebra.Com's Answer #752403 by Theo(13342)![]() ![]() You can put this solution on YOUR website! A contributes 140,000 \n" ); document.write( "B contributes 180,000 \n" ); document.write( "total contribution is 320,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A proportion of total contribution = 140 / 320 = .4375 \n" ); document.write( "B proportion of total contribution = 180 / 320 = .5625\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A receives 20% of the profit as manager.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rest is shared in the same proportion as their contributions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the profit is x, then:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A gets .2 * x + .4375 * .8 * x = .55 * x \n" ); document.write( "B gets .5625 * .8 * x = .45 * x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for example:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume the profit is 400,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A gets .20 * 400,000 = 80,000 + .4375 * .8 * 400,000 = 140,000 for a total of 140,000 + 80,000 = 220,000.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B gets .5625 * .8 * 400,000 = 180,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the total profit is 400,000 \n" ); document.write( "A gets 220,000 = 220/400 = .55 * the total profit. \n" ); document.write( "B gets 180,000 = 180/400 = .45 * thee total profit.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio of A's total share of the profit to B's total share of the profit is equal to .55 / .45 = 11/9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the total profit is broken up into 20 parts, A gets 11 of them and B gets 9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "11/20 = .55 \n" ); document.write( "9/20 = .45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i think that's what you're looking for.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the ratio of A's total share of the profit to B's total share of the profit is 11/9.\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( " \n" ); document.write( " |