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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.
Solution
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
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