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    Question

    Eight men and five boys together earn ₹3,240 in 6

    days. Meanwhile, three men and two boys working together take 12 days to earn ₹2,484. How many days will it take for five men and four boys to earn ₹1,476?
    A 2 days Correct Answer Incorrect Answer
    B 4 days Correct Answer Incorrect Answer
    C 5 days Correct Answer Incorrect Answer
    D 6 days Correct Answer Incorrect Answer
    E 8 days Correct Answer Incorrect Answer

    Solution

    Amount earned by (8 men + 5 boys) in 1 day = 3240/6 = Rs. 540….. (1)

    Amount earned by (3 men + 2 boys) in 1 day = 2484/12 = 207….. (2)

    On solving equation (1) and (2), we get

    Amount earned by a man in 1 day = Rs. 45

    Amount earned by a boy in 1 day = Rs. 36

    Therefore, number of days taken by (5 men + 4 boys) to earn Rs. 1476 = 1476/{(5 × 45 + 4 × 36)} = 4 days

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