Question
A, B and C started a business with initial investments
in the ratio 4:3:8, respectively. After one year A, B and C made additional investments equal to 20%, 45% and 50% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 14460 after two years.Solution
Let the initial investments of A, B and C be Rs. 4x, Rs. 3x and Rs. 8x respectively. So the additional investment of A = 0.20 Γ 4x = Rs. 0.80x Additional investment of B = 0.45 Γ 3x = Rs. 1.35x Additional investment of C = 0.50 Γ 8x = Rs. 4x Ratio of investments of A, B and C = (4x + 4x + 0.8x):(3x + 3x + 1.35x):(8x + 8x + 4x) = 8.8x : 7.35x : 20x = 176 : 147 : 400 So the profit share of B = 147/(176 + 147 + 400) Γ 14460 = Rs. 2940
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