Question 126

In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the groups is

Solution

let the total number of students be y

As it is given that 40 % joined grouo A and so the remaining are = y - 0.4y = 0.6y

Now it is given that 75% of the remaining joined grouop B so remaining students are = 0.75 x 0.6y = 0.45 y

Remaining students are = 0.6y - 0.45 y = 0.15y

Given that 0.15y = 2

y=80

Students applied for the group = 80

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