Question

In an election, the winner obtained 54% of the total votes and defeated his opponent by 320 votes. The number of votes obtained by the winner is ___

Answer 1

Let the total number of votes be $x$

$\Rightarrow$ The winner obtained $\frac{54x}{100}$ votes.

$\Rightarrow$ The opponent obtained $\frac{46x}{100}$ votes.
Given - the opponenet was defeated by 320 votes

$\Rightarrow$ $\frac{54x}{100}$ - $\frac{46x}{100}$ = 320

$\Rightarrow$ $\frac{8x}{100}$ = 320

$\Rightarrow$ $x=4000$

$\therefore$ votes obtained by winner = $\frac{54}{100}\times 4000=2160.$