Question

In an election, there were only two candidates. The winner got $53\%$ votes and won by $9600$ votes. Find the total number of votes polled.

Answer 1

Winner got $53\%$ vote

so, defendant got $47\%(=100-53)$

Additional vote got by winner $=6\%$

Let $x$ be the total number of votes polled

Winner won by $9600$ votes

$\therefore \frac{6x}{100}=9600$

$x=\frac{9600\times 100}{6}=160000$

Hence, the total number of polled votes is $160000.$