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    Question

    Ramesh and Raj started a business by investing Rs. 4,800

    and Rs. 7,200 respectively. Raj withdrew his money after a few months. At the end of one year, their profit was divided in the ratio 4:5. Find out after how many months Raj left the business.
    A 20 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the time after which Raj left the business be 'n' months.

    Ratio of profit shares of Ramesh and Raj

    = (4800 × 12) : (7200 × n)

    = 57600 : 7200n

    = 8 : n

    Now,

    8 : n = 4 : 5

    ⇒ 4n = 40

    ⇒ n = 10

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