CAT 2017 Question Paper | Quants Slot 1

CAT historically tested Percentages in every edition of the exam. With every passing year, CAT exam has increased the importance of Arithmetic Questions from topics such as Percentages. CAT exam has started featuring questions that are a combination of multiple ideas in arithmetic . This question tests the idea of ratios with percentages.

Question 9 : The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is:

1. 35
2. 50
3. 60
4. 65

Video Explanation

Explanatory Answer

Method of solving this CAT Question from Percentages

Given that the number of girls appearing for an admission test is twice the number of boys.
Let x be the number of boys and 2x be the number of girls.
We have to find the % of candidates who do not get admission if 30% of the girls and 45% of the boys get admission.
Those who got admission is 1.05x and those who do not get admission is 1.95x.
So, \\frac{1.95x}{3x}) = 65
The percentage of candidates who do not get admission is 65%.

The question is "The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is:"

Hence, the answer is 65

Choice D is the correct answer.