Question

In an election between two candidates, one candidate secured 58% of the votes polled and won the election by 18, 336 votes. Find the total number of votes polled and the votes secured by each candidate.

Answer 1

Since, winning candidate secured 58% of the votes polled.

∴ Losing candidate secured

= (100 − 58) of the votes polled

= 42% of the votes polled

Difference of votes 

= 58 − 42

= 16% of the votes polled

We are given:

16% of votes polled = 18,336

⇒ `(16)/(100)` of the votes polled = 18,336

⇒ Votes polled = `18,336 xx (100)/(16)`

⇒ Votes polled = `(18,33,600)/(16)`

⇒ Votes polled = 1,14,600

∴ Votes secured by winning candidate

= `(58)/(100) xx 1,14,600`

= 66,468

Votes secured by losing candidate

= `(42)/(100) xx 1,14,600`

= 48,132

Votes polled = 1,14,600

Votes secured by winning candidate = 66,468

Votes secured by losing candidate = 48,132