Question

3
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 on the voters list.
​

Answer 1

Answer:

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

⇒

100

8

×

100

90

×

100

90

×x=1620

⇒x=(

8×90×90

1620×100×100×100

)=25000