Question

Of the two candidates in an election one got 40% of votes and lost by 2980 voted.find the total no of votes polled

Answer 1

$let \: the \: total \: votes \: polled \: = x \\ so \: loser \: candidate \: got \: = 40\% \: of \: x = \frac{40x}{100} = \frac{2x}{5} \\ and \: the \: winner \: got \: = 60\% \: of \: x = \frac{60x}{100} = \frac{3x}{5} \\ since \: the \: loser \: lost \: by \: 2980 \: so \: \frac{3x}{5} = \frac{2x}{5} + 2980 \\ = > \frac{3x}{5} - \frac{2x}{5} = 2980 \\ = > x = 14900 \\ hence \: total \: votes \: polled = 14900$