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    Question

    In a family of 8, the men eat on average 70 kg of

    food and women eat on an average 50 kg of food. The men and women are equal in number. A woman joined the family for dinner and the average consumption became 67. How much did woman eat (in kgs)?
    A 123 Correct Answer Incorrect Answer
    B 142 Correct Answer Incorrect Answer
    C 175 Correct Answer Incorrect Answer
    D 162 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    As men and women are equal so , there are 4 women and 4 men so, total consumption will be 70 × 4 = 280 (by men) and 50 × 4 = 200 (by women)
    Total consumption = 480 kg
    But after including a woman the average consumption for 9 people is given to be 67.
    So the total consumption will be 67 × 9 = 603 kg
    So, woman’s consumption will be = 603 – 480 = 123 kg

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