In a certain school, 20 % of students are below 8 years of age. The number of students above 8 years of age is\(\frac{2}{3}\) of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Answer: D
Let the number of students be \(x\).
Then, Number of students above 8 years of age \(= (100 -20)\)% of \(x = 80\)% of \(x\)
\(\therefore 80\)% of \(x = 40 + \frac{2}{3} \) of 48
\(\Rightarrow \frac{80}{100}x = 80\)
\(\Rightarrow x = 100.\)