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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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