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 a classroom. Understanding the subjunctive clause is important in quantitative aptitude also. Otherwise, this question can sound absurd!

Question 8 : In a class, if 50% of the boys were girls, then there would be 50% more girls than boys. What percentage of the overall class is girls?

1. 25%
2. 33.33%
3. 40%
4. 20%

Explanatory Answer

Method of solving this CAT Question from Percentages: For questions of this type, it is best to go from the final step.

In the final state, the number of girls should be 1.5 * the number of boys.
When 50% of the boys are taken as girls, let the number of boys = x
Number of girls = 1.5x
Total number of students = 2.5x
Original number of boys = 2x (50% of boys = x)
Original number of girls = 0.5x
Girls form 20% of the overall class.

The question is " What percentage of the overall class is girls? "
Girls form 20% of the overall class.

Hence, the answer is 20%

Choice D is the correct answer.