CAT Quantitative Aptitude Questions | CAT Percentages Problems - Classroom

The question is from CAT Percentages. 2IIMs CAT question bank provides you with CAT questions that can help you gear for CAT Exam CAT 2023. 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?

1. 33.33%
2. 40%
3. 25%
4. 60%

Explanatory Answer

Method of solving this CAT Question from Percentages: 50% more than x is 1.5x. Simple, but very useful idea that might help you in solving these kinds of problems.

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

Hence, the answer is 40%

Choice B is the correct answer.