In a class, 60% of the students are girls - Quantitative Aptitude – Arithemetic | Percentage |

CAT 2019 – Slot 1 - CAT Percentage - Question 3 - In a class, 60% of the students are girls

Q. 3: In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is

let total number of students in the class = 100x
Number of girls = 60% of 100x = 60x
Number of boys = 100x – 60x = 40x
Given, 60x – 40x = 30
So 20x = 30
x = 30/20
thus number of students = 100x = 100*30/20 = 150
number of boys = 40x = 40*30/20 = 60
number of girls = 150 – 60 =90
number of students who do not pass the exams = 32% of 100x = 32x = 32*30/20 = 48
number of boys failed= 60 -30 = 30
so number of girls failed = 48 – 30 = 18
required percentage = 18/90 *100 = 20%

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