Question
X, Y and Z started a business with initial investments
of Rs. 5,000, Rs. 7,000 and Rs. 13,000 respectively. After one year, they made additional investments in the ratio of 2:3:5 respectively. Find the profit share of Y out of the total profit of Rs. 8,400 after two years.Solution
ATQ,
Let the additional investments of X, Y and Z be Rs. 2x, Rs. 3x, and Rs. 5x respectively. Ratio of their profits = 5000 + 5000 + 2x : 7000 + 7000 + 3x : 13000 + 13000 + 5x = 10000 + 2x : 14000 + 3x : 26000 + 5x Profit share of Y = (14000 + 3x) / (50000 + 10x) × 8400 = {7(2000 + x) / 25(2000 + x)} × 8400 = 7/25 × 8400 = Rs. 2,352
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