Question

In an election between two candidates, one, candidate secured 58% of the votes polled and won the election by 18,336 votes. Find the total number of votes polled and the votes secured by each candidate.

Answer 1

Since, winning candidate secured 58% of the votes polled.
$\therefore$ Losing candidate secured
= (100-58)% of the votes polled
= 42% of the votes polled
Difference of votes = 58-42
= 16% of the votes polled
We are given :
16% of votes polled = 18,336
$\Rightarrow \frac{16}{100}$ of votes polled = 18,336
$\Rightarrow$ Votes polled = 18,336 $\times \frac{100}{16}$
$\Rightarrow$ Votes polled = $\frac{18,33,600}{16}$
$\Rightarrow$ Votes polled = 1,14,600
$\therefore$ Votes secured by winning candidate
= $\frac{58}{100}\times$ 1,14,600
= 66,468
Votes secured by losing candidate
= $\frac{42}{100}\times$ 1,14,600
= 48,132
Votes polled = 1,14,600
Votes secured by winning candidate = 66,468
Votes secured by losing candidate= 48,132