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    Question

    The marks obtained by Meena in English is 40% more than

    the marks obtained by her in History, and the average marks scored by Meena in English, History, and Mathematics is 82. Find the marks obtained by Meena in History, if she scored 90 marks in Mathematics.
    A 56 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Total marks scored by Meena in English, History, and Mathematics = 82 × 3 = 246

    So, marks scored by Meena in English and History = 246 – 90 = 156

    Let the marks obtained by Meena in History be ‘x’.

    So, marks obtained by Meena in English = 1.4x

    So, x + 1.4x = 156

    2.4x = 156

    x = 156 / 2.4

    x = 65

    So, marks obtained by Meena in History = 65 marks.

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