Question

In an election, there were only two candidates for the post of president . The winning candidate got $53\%$ of the total votes. his opponent got $31000$ votes which represented $31\%$ of the total votes . find (i) the number of votes and
(ii) the winning margin.

Answer 1

(i) now let's assume total votes $=y$

given $31\%$ of $y=31000$

$31\times \frac{y}{100}$

$=31000$

$y=100,000$

so total votes are $=100,000$

(ii) winning candidate got $=\frac{53\times 100,000}{100}$

$=53,000$

winning margin $=53000-31000=22000$