Question

In a contest, the loser was polled $42\%$ of votes and lost by $14400$ votes. Find the total number of votes polled, if the total number of eligible voters was $1$ lakh. Also, find what percentage of voters did not vote.

Answer 1

Let the number of votes polled be $100$ units

No. of votes loser got = $42\%\times 100=42$ units

$\Rightarrow$ No. of votes winner got $=100-42=58$ units

The difference of the votes between loser and winner is $16$ units

ATQ,
$16$ units = $14400$

$\Rightarrow 1$ unit = $\frac{14400}{16}=900$

$\Rightarrow 100$ units = $100\times 900=90000$

$\therefore$ Total number of votes polled$=90,000$

Total number of voters eligible for voting $=1Lakh=1,00,000$

Numbers of voters who did not vote $=1,00,000-90,000=10000$

Hence, percentage of non-voters = $\frac{10000}{100000}\times 100=10\%$

$\therefore 10\%$ voters did not vote.