Question
Pawan, Bhanu, and Raju started a
business with initial investments in the ratio of 9:13:11. After one year, they each added more capital to the business in the ratio of 7:3:5, respectively. If the total profit after two years is Rs. 3,240, what is Raju's share of the profit?Solution
ATQ, Let the initial investments of Pawan, Bhanu and Raju be Rs. ‘9x’, Rs. ‘13x’ and Rs. ‘11x’ respectively. Let the additional investments of Pawan, Bhanu and Raju be Rs. ‘7y’, Rs. ‘3y’ and Rs. ‘5y’ respectively. Ratio of proit share of Pawan: Bhanu: Raju = (9x + 9x + 7y) : (13x + 13x + 3y) : (11x + 11x + 5y) = 18x + 7y : 26x + 3y : 22x + 5y Proit share of Raju = {(22x + 5y)/(66x + 15y)} × 3240 = Rs. 1,080
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