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      Question

      In a family of 10, the men eat on average 40 kg

      of food and women eat on an average 35 kg of food. The men and women are equal in number. A woman joined the family for dinner and the average consumption became 45. How much did woman eat (in kgs)?
      A 120 Correct Answer Incorrect Answer
      B 142 Correct Answer Incorrect Answer
      C 177 Correct Answer Incorrect Answer
      D 165 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      As men and women are equal so , there are 5 women and 5 men so, total consumption will be 40 × 5 = 200 (by men) and 35 × 5 = 175 (by women)
      Total consumption = 375 kg
      But after including a woman the average consumption for 11 people is given to be 45.
      So the total consumption will be 45 × 11 = 495 kg
      So, woman’s consumption will be = 495 – 375 = 120 kg

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