Question

in an election between two candidates 10% of the voters did not cast their vote.10% of the votes polled were found invalid. the successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. find the number of voters enrolled in the voters list .​

Answer 1

Let the total number of voters be x.

As 10%  of the voters did not cast their votes

Then, Votes polled = 90% of x.

10%  of the votes polled were found invalid

Valid votes =90% of (90% of x).

54% of [90% of (90% of x)]−46% of [90% of (90% of x)]=1620

=>8% of [90% of (90% of x)]=1620

⇒8/100 × 90/100 × 90/100  × x = 1620

​⇒x=( 1620×100×100×100 / 8 × 90 × 90 )=25000

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