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    Question

    The average weight of 6 people is 80 kg. When two new

    people with their weights in the ratio 2:3 joined the group, the average weight of all the people remains the same. Find the difference between the weights of the two new people who joined the group.
    A 32 kg Correct Answer Incorrect Answer
    B 25 kg Correct Answer Incorrect Answer
    C 35 kg Correct Answer Incorrect Answer
    D 37 kg Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Sum of the weight of 6 people = 80 × 6 = 480 kg Sum of the weights of all the people including the ones who joined later = 80 × 8 = 640 kg Total weight of two new people = 640 - 480 = 160 kg Let the weight of two new people who joined the group be '2w' kg and '3w' kg, respectively. 2w + 3w = 160 Or, 'w' = (160/5) = 32 So, required difference = 3w - 2w = w = 32 kg

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