Question
Ayush, Tarun and Chintu started a business with initial
investments in the ratio 4:5:7, respectively. After one year Ayush, Tarun and Chintu made additional investments equal to 25%, 40% and 50% of their initial investments respectively. Determine the profit share of Tarun out of the total profit of Rs. 19,250 after two years.Solution
ATQ, Let the initial investments of Ayush, Tarun and Chintu be Rs. 4x, Rs. 5x and Rs. 7x respectively. So the additional investment of Ayush = 0.25 × 4x = Rs. x Additional investment of Tarun = 0.40 × 5x = Rs. 2x Additional investment of Chintu = 0.50 × 7x = Rs. 3.5x Ratio of investments of Ayush, Tarun and Chintu = (4x + 4x + x):(5x + 5x + 2x):(7x + 7x + 3.5x) = 9x:12x:17.5x = 18:24:35 So the profit share of Tarun = 24/(18 + 24 + 35) × 19250 = Rs.6,000
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