Question

in an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. what is the total number of votes polled

Answer 1

GIVEN: A candidate who gets 84% of the votes is elected by a majority of 476 votes.
Let the total number of votes polled be 'x'
Number of votes in favour of the candidate is = 84% of x
=84x/100
Number of votes got by the losing candidate = x−84x/100
= (100x -84x)/100 = 16x/100
Number of extra votes in favor of winning candidate = 84x/100−16x/100
476 =68x/100
x=(476×100 )/ 68
x=7×100
x=700
Hence,the total number of votes polled are 700 .

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Answer 2

Answer:

A candidate who gets 84% of the votes is elected by a majority of 476 votes.

Let the total number of votes be 'x'

Number of votes in favour of the candidate is = 84% of x

=84x/100

Number of votes got by the losing candidate = x−84x/100

= (100x -84x)/100 = 16x/100

Number of extra votes in favor of winning candidate = 84x/100−16x/100

476 =68x/100

x=(476×100 )/ 68

x=7×100

x=700