In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is of the number of students of 8 years of age which is 48. What is the total number of students in the school?

Explanation

100

The number of students is x. So 

 Number of students over 8 years old 

 = (100-20)% of x = 80% of x 

 ∴ 80% of x = 48 + 23 of48

 ⇒ 80 100x = 80 

 ⇒ x = 100