Question

9.there were two candidates in an election. winner candidate received 62% of votes and won the election by 288 votes. find the number of votes cast to the winning candidate?

Answer 1

Let the number of total votes be x.

Then,
Percentage by which candidate won =
62% of total votes
= 62/100 × x. (as supposed)
= 62x/100

And,
Number of votes by which candidate won = 288

Then, According to the question,

Percentage by which candidate won = Number of votes by which candidate won

Putting the values

$\frac{62x}{100} = 288$
$62x = 288 \times 100$
$62x = 28800$
$x = \frac{28800}{62}$
$x = 464$
Therefore, total number of voters cast in the election is 464.
That's your answer

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