Question

In ABC College, 63% of students are less than 20 years of age. The number of students more than 20 years of age is 2/3 of number of students of 20 years of age which is 42. What is the total number of students in the ABC College?

A. 75

B. 90

C. 130

D. 200

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Answer 1

refer to the attachment please

Answer 2

The total number of students in the ABC college is 200. (Option D)

Given:

Number of students who are 20 years old=42

Number of students who are more than 20 years of age= 2/3rd of 20-year-olds

Percent of students who are less than 20 years of age=63%

To find:

The total number of students in college

Solution:

We can find the solution by following the given process-

We know that the students who are more than 20 years of age are 2/3rd of the number of students who are 20 years old.

The number of students who are more than 20 years of age=2×48/3

=32 students

The students who are less than 20 years of age comprise 63% of the total number of students.

So, the remaining students will be 37% of the total.

The remaining students= number of students who are 20 years of age+ number of students who are more than 20 years of age.

=42+32

=74

Let the total number of students be X.

So, 37% of X= 74

X=74×100/37

X=200

Therefore, the total number of students in college ABC is 200.