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    Question

    The average weight of 10 individuals in an organization is

    50 kg. When two new members, Akash and Binny, join the organization, their weights being in the ratio of 15:16, the overall average weight rises by 2 kg. What is the weight difference between Akash and Binny?
    A 4 kg Correct Answer Incorrect Answer
    B 9 kg Correct Answer Incorrect Answer
    C 12 kg Correct Answer Incorrect Answer
    D 10 kg Correct Answer Incorrect Answer

    Solution

    ATQ,
    Total weight of 10 people = (50 × 10) = 500 kg
    Total weight of 12 people = (52 × 12) = 624 kg
    Total weight of ‘Akash’ and ‘Binny’ = (624 – 500) = 124 kg
    Let the weight of ‘Akash’ and ‘Binny’ be ‘15x’ kg and ‘16x’ kg, respectively.
    So, (15x + 16x) = 124
    Or, 31x = 124
    Or, x = 4
    Therefore, required difference = (16x – 15x) = x = 4 kg

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