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    In a college, the average weight of 40 boys in a section among 72 students is 33 kg and that of the remaining students is 15 kg. What is the average w
    Question

    In a college, the average weight of 40 boys in a section among 72 students is 33 kg and that of the remaining students is 15 kg. What is the average weight of all the students in the section?

    A.

    18 kg

    B.

    25 kg

    C.

    24 kg

    D.

    22 kg

    Correct option is B

    Given:

    Number of boys = 40

    Average weight of boys = 33 kg

    Number of remaining students = 72 - 40 = 32

    Average weight of remaining students = 15 kg

    Formula Used:

    Average weight of all students = (Total weight of all students)(Total number of students) \frac{(Total \ weight \ of \ all \ students)} { (Total \ number \ of \ students)}​​

    Solution:

    Total weight of boys = 40 × 33

    Total weight of boys = 1320 kg

    Total weight of remaining students = 32 × 15

    Total weight of remaining students = 480 kg

    Total weight of all students = 1320 + 480

    Total weight of all students = 1800 kg

    Total number of students = 72

    Average weight of all students = Total weight of all students / Total number of students

    => Average weight of all students = 1800 / 72

    => Average weight of all students = 25 kg

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