Question

In an election between two candidates, one candidate secured 47% of votes polled and lost the election by 12,366 votes. Find the total votes polled and votes secured by the winning candidate.

Answer 1

Step 1: Find the total number of votes polled

Given:

Losing candidate secured 47% of the votes polled Number of votes by which candidate lose the election = 12,366

Let the total number of votes polled be $x$

$\Rightarrow \text{Votes secured by losing candidate}=\frac{47x}{100}$

$\Rightarrow \text{Votes secured by winning candidate}=(100-47)\%ofx$

$=\frac{53x}{100}$

$\Rightarrow \text{Votes by which candidate lose the election}$
$=\frac{53x}{100}-\frac{47x}{100}=\frac{6x}{100}$

According to the given problem,

$\frac{6x}{100}=12,366$

$\Rightarrow x=206100$

Therefore, the total number of votes polled was 2,06,100.

Step 2: Find the votes secured by winning candidate.

Number of votes secured by winning candidate $=53\%ofx$

$=\frac{53}{100}\times 206100$

$=53\times 2061$

$=1,09,233$

Hence, the number of votes polled was $2,06,100$ and the number of votes secured by the winning candidate was $1,09,233.$