Question
Rohit and Varun started a joint venture by investing in the
ratio 8:6 respectively. After 9 months, Sneha entered the business with an investment amount equal to the average of Rohit's and Varun's initial investments. If the total profit at the end of 18 months was Rs. 5,22,000, what amount did Sneha receive from the profit?Solution
ATQ,
Let the initial investment of Rohit and Varun be Rs. ‘8x’ and Rs. ‘6x’ respectively.
So, Sneha’s investment = (8x + 6x)/2 = Rs. ‘7x’
Profit sharing ratio = (8x × 18) : (6x × 18) : (7x × 9) = 144 : 108 : 63
Simplify → 16:12:7
So, Sneha’s share = 522000 × (7/35) = Rs. 1,04,400
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