In an examination, 65\% of the total examinees passed. If the number of failures is 420, the total number of examinees is
(a)1000
(b)1200
(c)1500
(d)1625
Answer
Answer (as printed): B
Explanation
Let the total number of examinees be $x$. Then, $(100-65) \%$ of $x$ $$\begin{aligned} & =420 \Rightarrow 35 \% \text { of } x=420 \Rightarrow \frac{35}{100} x \\ & =420 \Rightarrow x=\left(\frac{420 \times 100}{35}\right)=1200 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.