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In an election between two candidates, one candidate secured 47% of votes polled and lost the election by 12,366 votes. Find the total votes and die votes secured by the winning candidate. - Mathematics

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Question

In an election between two candidates, one candidate secured 47% of votes polled and lost the election by 12,366 votes. Find the total votes and die votes secured by the winning candidate.

Sum

Solution

Since, the losing candidate secured 47% of the votes polled

Winning candidate secures votes

= (100 - 47)% of the votes polled

= 53% of the votes polled

Difference of votes 

= 53 - 47

= 6% of the votes polled

We are given :

6% of the votes polled = 12,366

⇒ `(6)/(100)` of the votes polled = 12,366

⇒ Votes polled

= `12,366 xx (100)/(6)`

⇒ = `(1236600)/(6)`

⇒ = 2,06,100

Votes secured by winning candidate

= `(53)/(100) xx 2,06,100`

= 1,09,233

∴ Votes polled = 2,06,100

Votes secured by winning candidate = 1,09,233

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Chapter 7: Percent and Percentage - Exercise 7 (A) [Page 82]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 7 Percent and Percentage
Exercise 7 (A) | Q 12 | Page 82

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