In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1,710 votes. The number of voters enrolled on the voters list was:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 20,000.
55% of votes got by the successful candidate so, the rest votes i.e., (100 - 55)% = 45 % of valid votes got by the unsuccessful candidate.
According to the question,
1710 votes are (55 - 45) % = 10 % of total valid votes.
1710 = 10% of total valid votes
⇒ 1710 = 10% of (95% of the votes cast)
⇒ 1710 = 10% of {95% of (90% of enrolled voters)}
⇒ 1710 = (10/100) × (95/100) × (90/100) enrolled voters
⇒ 1710 × 1000000 = 85500 × enrolled voters
Enrolled voters = 20000