Question
A, B and C started a business with initial investments
in the ratio 3:4:8, respectively. After one year A, B and C made additional investments equal to 20%, 30% and 45% of their initial investments respectively. Find the profit share of B out of the total profit of Rs. 17700 after two years.Solution
Let the initial investments of A, B and C be Rs. 3x, Rs. 4x and Rs. 8x respectively. So the additional investment of A = 0.20 Ă— 3x = Rs. 0.6x Additional investment of B = 0.30 Ă— 4x = Rs. 1.2x Additional investment of C = 0.45 Ă— 8x = Rs. 3.6x Ratio of investments of A, B and C = (3x + 3x + 0.6x):(4x + 4x + 1.2x):(8x + 8x + 3.6x) = 6.6x : 9.2x : 19.6x = 33 : 46 : 98 So the profit share of B = 46/(33 + 46 + 98) Ă— 17700 = Rs. 4600
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