Question
Nitesh, Jaydeep and Jayvijay together started a business
with initial investments in the ratio 5:7:8, respectively. After one year, Nitesh, Jaydeep and Jayvijay made additional investments in the ratio 5:9:6, respectively. Find the profit share of Nitesh out of the total profit of Rs. 4,000 after two years.Solution
Let the initial investments made by Nitesh, Jaydeep and Jayvijay be Rs. ‘5x’, Rs. ‘7x’ and Rs. ‘8x’, respectively.
Let the additional investments of Nitesh, Jaydeep and Jayvijay be Rs. ‘5y’, Rs. ‘9y’ and Rs. ‘6y’, respectively.
Respective ratio of investments of Nitesh, Jaydeep and Jayvijay = (5x + 5x + 5y):(7x + 7x + 9y):(8x + 8x + 6y)
= (10x + 5y):(14x + 9y):(16x + 6y)
So the profit share of Nitesh = {(10x + 5y)/(40x + 20y)} × 4000 = Rs. 1,000
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