The pie charts below show the percentage of students in each faculty at North-West University and the number of non-US students in the Arts faculty. These percentages have been rounded to the nearest whole number. There are a total 1049 students in Arts faculty. How many students are there in the Engineering faculty?
A) 420
B) 410
C) 390
D) 440
E) None of these
Correct Answer: B
$ \therefore $ 23% of $ x=1049 $
$ \Rightarrow $ $ \frac{23\times x}{100}=1049 $
$ \Rightarrow $ $ x=\frac{1049\times 100}{23}\approx 4560 $
$ \therefore $ Total students $ =4560 $ Percentage of engineering students $ =9% $
$ \therefore $ Total number of engineering students $ =9\times \frac{4560}{100}\approx 410 $