document.write( "Question 763311: A, B and C togather invest in a business. A gets 50% of the total profit, B 30% of the remaining profit and C 60% of the balance. Any amount left out is equally divided among the three partners. If C gets in all 150, find the total profit. \n" ); document.write( "
Algebra.Com's Answer #464729 by ramkikk66(644)\"\" \"About 
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A, B and C togather invest in a business. A gets 50% of the total profit, B 30% of the remaining profit and C 60% of the balance. Any amount left out is equally divided among the three partners. If C gets in all 150, find the total profit.\r
\n" ); document.write( "\n" ); document.write( "Let total profit be x\r
\n" ); document.write( "\n" ); document.write( "A gets 50% of the profit = 0.5*x
\n" ); document.write( "Remaining profit = 0.5*x\r
\n" ); document.write( "\n" ); document.write( "B gets 30% of remaining profit = 0.5*x*0.3 = 0.15*x
\n" ); document.write( "Remaining profit = (1 - 0.5 - 0.15)*x = 0.35*x\r
\n" ); document.write( "\n" ); document.write( "C gets 60% of remaining profit = 0.35*x*0.6 = 0.21*x
\n" ); document.write( "Remaining profit = (1 - 0.5 - 0.15 - 0.21) = 0.14*x = 7*x/50\r
\n" ); document.write( "\n" ); document.write( "Since remaining profit is divided equally amongst the 3, each gets (7*x/(50*3)) = 7*x/150\r
\n" ); document.write( "\n" ); document.write( "So C totally gets 0.21*x + 7*x/150 = 21*x/100 + 7*x/150 = 77*x/300 = 150\r
\n" ); document.write( "\n" ); document.write( "Total profit x = 300*150/77 = 584.42\r
\n" ); document.write( "\n" ); document.write( ":) \n" ); document.write( "
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