10% of the voters did not cast their vote in an election between two candidates. 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. The number of voters enrolled on the voters list was :
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Answer:
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
⇒
100
8
×
100
90
×
100
90
×x=1620
⇒x=(
8×90×90
1620×100×100×100
)=25000
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