Question
A, B and C started a business with initial investments
in the ratio 4:5:6, respectively. After one year A, B and C made additional investments equal to 24%, 40% and 55% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 18130 after two years.Solution
Let the initial investments of A, B and C be Rs. 4x, Rs. 5x and Rs. 6x respectively. So the additional investment of A = 0.24 times; 4x = Rs. 0.96x Additional investment of B = 0.40 times; 5x = Rs. 2x Additional investment of C = 0.55 times; 6x = Rs. 3.3x Ratio of investments of A, B and C = (4x + 4x + 0.96x):(5x + 5x + 2x):(6x + 6x + 3.3x) = 8.96x : 12x : 15.3x = 448 : 600 : 765 So the profit share of B = 600/(448 + 600 + 765) times; 18130 = Rs. 6000
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