Question
A, B and C started a business with initial investments
in the ratio 3:5:7, respectively. After one year A, B and C made additional investments equal to 20%, 45% and 60% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 14820 after two years.Solution
Let the initial investments of A, B and C be Rs. 3x, Rs. 5x and Rs. 7x respectively. So the additional investment of A = 0.20 times; 3x = Rs. 0.6x Additional investment of B = 0.45 times; 5x = Rs. 2.25x Additional investment of C = 0.60 times; 7x = Rs. 4.2x Ratio of investments of A, B and C = (3x + 3x + 0.6x):(5x + 5x + 2.25x):(7x + 7x + 4.2x) = 6.6x:12.25x:18.2x = 132:245:364 So the profit share of B = 245/(132 + 245 + 364) times; 14820 = Rs. 4900
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