Question
A, B and C started a business with initial investments
in the ratio 3:4:6, respectively. After one year A, B and C made additional investments equal to 20%, 35% and 50% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 13392 after two years.Solution
Let the initial investments of A, B and C be Rs. 3x, Rs. 4x and Rs. 6x respectively. So the additional investment of A = 0.20 × 3x = Rs. 0.6x Additional investment of B = 0.35 × 4x = Rs. 1.4x Additional investment of C = 0.50 × 6x = Rs. 3x Ratio of investments of A, B and C = (3x + 3x + 0.6x):(4x + 4x + 1.4x):(6x + 6x + 3x) = 6.6x : 9.4x : 15x = 33 : 47 : 75 So the profit share of B = 47/(15 + 47 + 75) × 13392 = Rs. 4060.80
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