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    Question

    In class ‘X’, the number of girls is 75% of the number

    of boys. Class ‘Y’ has 15% less boys than class ‘X’ and 30% more total students than class ‘X’. What is the ratio of girls in class ‘X’ to that in class ‘Y’?
    A 7:13 Correct Answer Incorrect Answer
    B 10:19 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’ = 0.75 × 100x = 75x

    Number of boys in class ‘Y’ = 0.85 × 100x = 85x

    Total number of students in class ‘Y’ = (100x + 75x) × (130/100) = 227.5x

    Number of girls in class ‘Y’ = 227.5x – 85x = 142.5x

    Required ratio = (75x):(142.5x) = 10:19

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