Percentages Question 1 - CAT 2025
Why Percentages is Important for CAT
The Percentage chapter is one of the most important topics in CAT because it is the foundation for many other Quantitative Aptitude chapters. If you master percentages, you automatically become stronger in several high-weightage areas.
Here are the main reasons:
- Foundation for many chapters
- Frequently tested
CAT asks direct percentage questions as well as questions where percentages are hidden inside word problems. - Essential for Data Interpretation
In DI sets, you are often required to calculate:- Percentage increase/decrease
- Percentage contribution
- Growth rate
- Market share
- Profit margin
In a class, there were more than 10 boys and a certain number of girls. After 40% of the girls and 60% of the boys left the class, the remaining number of girls was 8 more than the remaining number of boys.
The minimum possible number of students initially in the class was:
Step-by-Step Explanation
Question 2 — Answer: 55
Let the number of girls be g and boys be b. After students leave,
- Remaining girls = 60% of g
- Remaining boys = 40% of b
Using the given condition, Simplifying, Since the remaining students must be whole numbers, both g and b must be multiples of 5. The smallest possible values are:
- Girls = 30
- Boys = 25
Total students = 30 + 25 = 55.
đź’ˇ FundaMakers Tip: Whenever percentages leave whole numbers of people, check the divisibility conditions first.