76\% of the students in a school are boys. If the number of girls is 204, then the total number of students is
(a)760
(b)800
(c)850
(d)900
Answer
Answer (as printed): C
Explanation
Let the total number of students be $x$. Then, $(100-76) \%$ of $x=204$ $$\begin{aligned} & \Rightarrow 24 \% \text { of } x=204 \\ & \Rightarrow \frac{24}{100} x=204 \Rightarrow x=\left(\frac{204 \times 100}{24}\right)=850 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.