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    Question

    Number of girls in class ‘P’ is 60% of number of boys

    in that class. Class ‘Q’ has 20% fewer boys than in class ‘P’ and 40% more total students than class ‘P’. Find the ratio of number of girls in class ‘P’ to that in class ‘Q’.
    A 7:13 Correct Answer Incorrect Answer
    B 5:12 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 ‘P’ = 100x

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

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

    Total number of students in class ‘Q’ = (100x + 60x) × (140/100) = 224x

    Number of girls in class ‘Q’ = 224x – 80x = 144x

    Required ratio = (60x):(144x) = 5:12

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