Question:
Tick (✓) the correct answer:
In an examination, 65% of the total examinees passed. If the number of failures is 420, the total number of examinees is
(a) 500
(b) 1000
(c) 1200
(d) 1625
Solution:
(c) 1200
Let $x$ be the total number of examinees.
Percentage of the examinees passed $=65 \%$
Percentage of the examinees failed $=35 \%$
Number of the examinees failed $=(35 \%$ of $x)$
$=\left(x \times \frac{35}{100}\right)$
$=\frac{35 x}{100}$
Now, $\frac{35 \mathrm{x}}{100}=420$
$\Rightarrow x=\left(420 \times \frac{100}{35}\right)$
$\Rightarrow x=1200$
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