Question
A, B and C started a business with initial investments
in the ratio 2:5:8, respectively. After one year A, B and C made additional investments equal to 20%, 30% and 50% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 14360 after two years.Solution
Let the initial investments of A, B and C be Rs. 2x, Rs. 5x and Rs. 8x respectively. So the additional investment of A = 0.20 × 2x = Rs. 0.4x Additional investment of B = 0.30 × 5x = Rs. 1.5x Additional investment of C = 0.50 × 8x = Rs. 4x Ratio of investments of A, B and C = (2x + 2x + 0.4x):(5x + 5x + 1.5x):(8x + 8x + 4x) = 4.4x : 11.5x : 20x = 44 : 115 : 20 So the profit share of B = 115/(44 + 115 + 20) × 14360 = Rs. 4600
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