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?
A. 72
B. 80
C. 120
D. 150
E. 100
Answer: Option E
Solution(By Examveda Team)
Let the number of students be x. Then,Number of students above 8 years of age
$$\eqalign{ & = \left( {100 - 20} \right)\% \,{\text{of}}\,\,x = 80\% \,\,{\text{of}}\,\,x \cr & \therefore 80\% \,{\text{of}}\,\,x = 48 + \frac{2}{3}\,{\text{of}}\,\,48 \cr & \Rightarrow \frac{{80}}{{100}}x = 80 \cr & \Rightarrow x = 100 \cr} $$
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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