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    Question

    'P' invested Rs. 6,000 in a business. After 'n' months,

    'Q' joined the business investing Rs. 3,000 more than 'P'. At the end of 15 months since 'P' started the business, ratio of profit share of 'P' to 'Q' was 2:1. Find the value of 'n'.
    A 6 Correct Answer Incorrect Answer
    B 9 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer
    E 10 Correct Answer Incorrect Answer

    Solution

    Ratio of profit share of 'P' to 'Q'
    = (6,000 Γ— 15) : (9,000 Γ— (15 βˆ’ n))
    = 10 : (15 βˆ’ n) So,
    10 : (15 βˆ’ n) = 2 : 1 Or,
    10 Γ— 1 = 2 Γ— (15 βˆ’ n) Or,
    10 = 30 βˆ’ 2n Or,
    2n = 20 Or,
    n = 10

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