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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?

Options:
A .  72
B .  80
C .  120
D .  150
E .  100
Answer: Option E

Let the number of students be x. Then,


Number of students above 8 years of age = (100 - 20)% of x = 80% of x.


     So, 80% of x = 48 + \(\frac{2}{3} of 48\)


\(\frac{80x}{100} = 80\)


x = 100


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