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      Question

      Average marks scored by each boy in a class were 85,

      whereas that by each girl were 95. If the number of boys is 50% more than the number of girls, then find the average score of each student.
      A 88 Correct Answer Incorrect Answer
      B 89 Correct Answer Incorrect Answer
      C 86 Correct Answer Incorrect Answer
      D 84 Correct Answer Incorrect Answer
      E 90 Correct Answer Incorrect Answer

      Solution

      Let the number of girls = 2x.
      Thus, the number of boys = 3x. Total marks of boys = 3x Γ— 85 = 255x
      Total marks of girls = 2x Γ— 95 = 190x Total marks = 255x + 190x = 445x
      Total students = 2x + 3x = 5x Average = 445x Γ· 5x = 89

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