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    Question

    ‘P’ invested Rs. 3000 in a business. ‘Q’ joined

    x months later with an investment of Rs. 2000. If at the end of the year, Q’s share in the profit is Rs. 2400 out of a total profit of Rs. 7200, find the value of x.
    A 5 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 3 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question,
    (3000 × 12) : {2000 × (12 – x)} = (7200 – 2400) / 2400
    Or, 36000 : {2000(12 – x)} = 4800 / 2400
    Or, 36000 : {2000(12 – x)} = 2 : 1
    So, 36000 × 1 = 2 × 2000(12 – x)
    36000 = 4000(12 – x)
    36000 = 48000 – 4000x
    4000x = 48000 – 36000
    4000x = 12000
    x = 3

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