Question
A, B and C started a business with initial investments
in the ratio 4:5:3, respectively. After one year A, B and C made additional investments equal to 20%, 55% and 65% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 18880 after two years.Solution
Let the initial investments of A, B and C be Rs. 4x, Rs. 5x and Rs. 3x respectively. So the additional investment of A = 0.20 × 4x = Rs. 0.80x Additional investment of B = 0.55 × 5x = Rs. 2.75x Additional investment of C = 0.65 × 3x = Rs. 1.95x Ratio of investments of A, B and C = (4x + 4x + 0.8x):(5x + 5x + 2.75x):(3x + 3x + 1.95x) = 8.8x : 12.75x : 7.95x = 8.8 : 12.75 : 7.95 So the profit share of B = 12.75/(8.8+ 12.75 + 7.95) × 18880 = Rs. 8160
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