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    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?
    A Rs.1,25,320 Correct Answer Incorrect Answer
    B Rs.2,56,320 Correct Answer Incorrect Answer
    C Rs.1,04,400 Correct Answer Incorrect Answer
    D Rs.5,36,300 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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