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      Question

      The marks scored by Meena in English are 40% more than the

      marks she scored in History. The average marks obtained by Meena in English, History, and Mathematics is 84. If she got ninety marks in Mathematics, find the marks she scored in History.
      A 67.5 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 85.5 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total marks scored by Meena in English, History, and Mathematics = 84 × 3 = 252

      So, marks scored by Meena in English and History = 252 – 90 = 162

      Let the marks scored in History be ‘x’.

      Then, marks in English = 1.40x

      So, x + 1.40x = 162

      2.40x = 162

      x = 162 / 2.40

      x = 67.5

      So, marks scored by Meena in History = 67.5 marks

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