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      Question

      The average age of (x + 3) people in a group is 20 years.

      When a new member aged 43 joins, the average becomes 21. Find x% of 500.
      A 90 Correct Answer Incorrect Answer
      B 95 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 85 Correct Answer Incorrect Answer
      E 80 Correct Answer Incorrect Answer

      Solution

      Total age of group = 20(x + 3)
      According to question,
      [20(x + 3) + 43] = 21(x + 3 + 1)
      20x + 60 + 43 = 21x + 84
      21x - 20x = 103 - 84
      x = 19
      So, 19% of 500 = 95

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