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      Question

      The average weight of 6 students in a group is 45 kg. If

      one student is replaced by person 'B', the average weight of the group increases by 5%. Find the difference between the weight of the student who left and the weight of person 'B'.
      A 13.5 kg Correct Answer Incorrect Answer
      B 25.5 kg Correct Answer Incorrect Answer
      C 53.5 kg Correct Answer Incorrect Answer
      D 32.4 kg Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total weight of the group = 45 × 6 = 270 kg

      New average weight of the group = 45 × 1.05 = 47.25 kg

      So, total weight of the group = 47.25 × 6 = 283.5 kg

      So, difference between weights of the student who left and person 'B' =
      283.5 - 270 = 13.5 kg

      Alternate Solution—

      Required difference = 0.05 × 45 × 6 = 13.5 kg

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