Question
Sneha and Rakesh started a business by investing Rs.
22,000 and Rs. 28,000, respectively. After 9 months, Vikram joined them with an investment equal to the average investments of Sneha and Rakesh together. If at the end of 1.5 years, the profit share of Vikram is Rs. 7,200, then find the profit share (in Rs.) of Rakesh.Solution
ATQ, Investment made by Vikram = (1/2) X (22000 + 28000) = Rs. 25,000 Ratio of profit shares of Sneha, Rakesh, and Vikram respectively: = (22000 X 18) : (28000 X 18) : (25000 X 9) = 396000 : 504000 : 225000 = 44 : 56 : 25 Therefore, profit share of Rakesh = (7200/25) X 56 = Rs. 16,128
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