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    Question

    ‘X’ invested Rs. 5000 in a business. ‘Y’ joined

    x months later with an investment of Rs. 4000. If at the end of the year, Y’s share in the profit is Rs. 3000 out of a total profit of Rs. 9000, 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,
    (5000 × 12) : {4000 × (12 – x)} = (9000 – 3000) / 3000
    Or, 60000 : {4000(12 – x)} = 6000 / 3000
    Or, 60000 : {4000(12 – x)} = 2 : 1
    So, 60000 × 1 = 2 × 4000(12 – x)
    60000 = 8000(12 – x)
    60000 = 96000 – 8000x
    8000x = 96000 – 60000
    8000x = 36000
    x = 4.5 months

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