Discussion
In an examination 65% of the total students passed. If the number of failures is 420, the total number of students are
Answer: A
The total number of students is 1200.
If 65% passed, 35% failed, and those 35% are the 420 failures.
\[ \begin{aligned} 35\% \text{ of } N &= 420 \\ N &= \frac{420 \times 100}{35} \\ &= 1200 \end{aligned} \]
Check: 35% of 1200 is 420 and 65% is 780, which add to 1200. 1400 is what you get by treating 420 as 30%, and 1250 and 1000 fit no step of the working.
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