Tick (✓) the correct answer


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


(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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