10 % of the electorate did not cast their votes 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 voter’s list was___________?

A. 25000
B. 33000
C. 35000
D. 40000

Explanation:

Let the number of votes enrolled be x

Votes cast = (90/100 × x) = 9x/10

Valid votes = 90% of 9x/10 = (90/100 × 9x/10) = 81x/100
Votes polled by successful candidate

= (54/100 × 81x/100) = 4374x/10000

Votes polled by defeated candidate

= (46/100 × 81x/100) = 3726x/10000

=> 4374x – 3726x = 16200000

=> x = 16200000/648 = 25000

Correct Answer: 25000 ✔

Last Updated: February 07, 2020