Question
A, B and C started a business with initial investments
in the ratio 3:5:8, respectively. After one year A, B and C made additional investments equal to 20%, 30% and 45% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 18096 after two years.Solution
Let the initial investments of A, B and C be Rs. 3x, Rs. 5x and Rs. 8x respectively. So the additional investment of A = 0.20 × 3x = Rs. 0.60x Additional investment of B = 0.30 × 5x = Rs. 1.5x Additional investment of C = 0.45 × 8x = Rs. 3.6x Ratio of investments of A, B and C = (3x + 3x + 0.6x):(5x + 5x + 1.5x):(8x + 8x + 3.6x) = 6.6x : 11.5x : 19.6x = 66 : 115 : 196 So the profit share of B = 115/(66+ 115 + 196) × 18096 = Rs. 5520
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