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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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