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    Question

    Nikhil and Swati began a business with investments in a 5:3

    ratio. After 6 months, Tarun entered the partnership with an investment equal to the average of both. If the total profit after 18 months was Rs. 3,24,000, what was Swati’s share of the profit?
    A Rs.1,25,320 Correct Answer Incorrect Answer
    B Rs.2,56,320 Correct Answer Incorrect Answer
    C Rs.2,04,000 Correct Answer Incorrect Answer
    D Rs.5,36,300 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let initial investments be Rs. ‘5x’ and Rs. ‘3x’.

    Tarun’s investment = (5x + 3x)/2 = Rs. ‘4x’

    Profit ratio = (5x × 18) : (3x × 18) : (4x × 12) = 90 : 54 : 48

    Simplify → 15:9:8

    So, Swati’s share = 324000 × (9/32) = Rs. 91,125

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