The question is from CAT Percentages. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2022. This question is from the topic percentages involving no. of boys and girls in one or more classrooms. 50% more than x is 1.5x. Simple, very useful idea.

Question 9 : Class B has 50% more students than class A. Number of girls in class A is equal to number of boys in class B. The percentage of girls is the same in both classes. What percentage of the student group are boys?

- 33.33%
- 40%
- 25%
- 60%

40%

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Let number of girls in class A = x

Let number of boys in class A = y

Total number of students = x + y

Proportion of girls = \\frac{x}{x + y}\\)

Number of boys in class B = x

Total number of students in class B = 1.5(x + y)

Proportion of girls = 1 - \\frac{x}{1.5(x + y)}\\)

Percentage of boys in the overall student community = \\frac{x + y}{2.5}\\) * (x + y) * 100 = 40%

The question is **" What percentage of the student group are boys? "**

40% of the student group are boys

Choice B is the correct answer.

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