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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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