Question
A, B and C started a business with initial investments
in the ratio 2:5:9, respectively. After one year A, B and C made additional investments equal to 25%, 40% and 50% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 14625 after two years.Solution
Let the initial investments of A, B and C be Rs. 2x, Rs. 5x and Rs. 9x respectively. So the additional investment of A = 0.25 times; 2x = Rs. 0.5x Additional investment of B = 0.40 times; 5x = Rs. 2x Additional investment of C = 0.50 times; 9x = Rs. 4.5x Ratio of investments of A, B and C = (2x + 2x + 0.5x) : (5x + 5x + 2x):(9x + 9x + 4.5x) = 4.5x : 12x : 22.5x = 3 : 8 : 15 So the profit share of B = 12/(3 + 8 + 15) times; 14625 = Rs. 4500
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