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    Question

    In class ‘X’, the number of girls is 60% of the number

    of boys. Class ‘Y’ has 20% fewer boys than class ‘X’, and the total number of students in class ‘Y’ is 30% more than that in class ‘X’. What is the ratio of number of girls in class ‘X’ to that in class ‘Y’?
    A 7:13 Correct Answer Incorrect Answer
    B 15:32 Correct Answer Incorrect Answer
    C 9:5 Correct Answer Incorrect Answer
    D 3:5 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of boys in class ‘X’ = 100x

    Then, number of girls in class ‘X’ = 0.60 × 100x = 60x

    Number of boys in class ‘Y’ = 0.80 × 100x = 80x

    Total students in class ‘Y’ = (100x + 60x) × (130/100) = 208x

    Number of girls in class ‘Y’ = 208x – 80x = 128x

    Required ratio = (60x):(128x) = 15:32

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