Question
A, B and C started a business with initial investments
in the ratio 3:4:9, respectively. After one year A, B and C made additional investments equal to 22%, 25% and 30% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 18180 after two years.Solution
Let the initial investments of A, B and C be Rs. 3x, Rs. 4x and Rs. 9x respectively. So the additional investment of A = 0.22 Ă— 3x = Rs. 0.66x Additional investment of B = 0.25 Ă— 4x = Rs. x Additional investment of C = 0.30 Ă— 9x = Rs. 2.7x Ratio of investments of A, B and C = (3x + 3x + 0.66x):(4x + 4x + x):(9x + 9x + 2.7x) = 6.66x : 9x : 20.7x = 37 : 50 : 115 So the profit share of B = 50/(37 + 50 + 115) Ă— 18180 = Rs. 4500
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