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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.
Answer by ramkikk66(644)   (Show Source):
You can put this solution on YOUR website! 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.
Let total profit be x
A gets 50% of the profit = 0.5*x
Remaining profit = 0.5*x
B gets 30% of remaining profit = 0.5*x*0.3 = 0.15*x
Remaining profit = (1 - 0.5 - 0.15)*x = 0.35*x
C gets 60% of remaining profit = 0.35*x*0.6 = 0.21*x
Remaining profit = (1 - 0.5 - 0.15 - 0.21) = 0.14*x = 7*x/50
Since remaining profit is divided equally amongst the 3, each gets (7*x/(50*3)) = 7*x/150
So C totally gets 0.21*x + 7*x/150 = 21*x/100 + 7*x/150 = 77*x/300 = 150
Total profit x = 300*150/77 = 584.42
:)
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