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    Question

    ‘R’ invested Rs. 4000 in a business. ‘S’ joined

    x months later with an investment of Rs. 3000. If at the end of the year, S’s share in the profit is Rs. 2250 out of a total profit of Rs. 6750, find the value of x.
    A 4 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,
    (4000 × 12) : {3000 × (12 – x)} = (6750 – 2250) / 2250
    Or, 48000 : {3000(12 – x)} = 4500 / 2250
    Or, 48000 : {3000(12 – x)} = 2 : 1
    So, 48000 × 1 = 2 × 3000(12 – x)
    48000 = 6000(12 – x)
    48000 = 72000 – 6000x
    6000x = 72000 – 48000
    6000x = 24000
    x = 4 months

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