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 age which is 48 . What is the total number of students in the school?
(a)72
(b)80
(c)120
(d)150
(e)None of these
Answer
Answer (as printed): E
Explanation
Let the number of students be $x$. Then, Number of students of or above 8 years $=(100-20) \%$ of $x=80 \%$ of $x$. $$\therefore 80 \% \text { of } x=48+\frac{2}{3} \text { of } 48 \Leftrightarrow \frac{80}{100} x=80 \Leftrightarrow x=100 \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.