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    Question

    Lalita and Meru started a business with investments in

    the ratio 5:8, respectively. After 4 months, Lalita increased her investment by 40%, while Meru decreased her investment by 12.5%. If the total profit at the end of the year was Rs. 20,500, how much profit did Meru receive?
    A Rs.22,000 Correct Answer Incorrect Answer
    B Rs.10,000 Correct Answer Incorrect Answer
    C Rs.11,000 Correct Answer Incorrect Answer
    D Rs.24,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the initial investment of 'Lalita' and 'Meru' be Rs. 5x and Rs. 8x respectively.

    Increased investment of 'Lalita' = 5x X 1.4 = Rs. 7x

    Decreased investment of 'Meru' = 8x X 0.875 = Rs. 7x

    So, the ratio pf the profit share of 'Lalita' and 'Meru' respectively,

    = {(5x X 4) + (7x X 8) }:{(8x X 4) + (7x X 8) }

    = 19:22

    So, required profit = 20500 X (22/41) = Rs. 11,000

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