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    The average weight of 6 boxes is 14 kg and the weight of the first box is one-fifth of the remaining boxes. What will be the weight of the first box?
    Question

    The average weight of 6 boxes is 14 kg and the weight of the first box is one-fifth of the remaining boxes. What will be the weight of the first box?

    A.

    16 kg

    B.

    12 kg

    C.

    14 kg

    D.

    10 kg

    Correct option is C

    Given:

    Average weight of 6 boxes = 14kg

    Weight of first box = one-fifth of remaining boxes

    Formula Used:

    Average =Sum of observationsNumber of observations \frac{Sum\ of \ observations}{Number\ of \ observations}​​

    Solution:

    Total weight of all boxes = 14 ×\times​ 6 = 84

    Let the weight of first box be x

    Then weight of remaining boxes = 5x

    Total weight = x+ 5x = 6x

    6x = 84

    x = 14kgs

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