In a two-candidate election, 10% of the voters did not cast their ballots. 10% of the votes cast were found invalid. The winning candidate received 54% of the valid votes and a 1620-vote majority. Find the number of people on the voter list who have registered to vote.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 25000.
Given that
In a two-candidate election, 10% of the voters did not cast their ballots
The winning candidate received 54% of the valid votes and a 1620-vote majority
let the total number of voters be 100 units
According to the question
The total voters who cast their ballots = 100 × 0.9 = 90 units
The total number of valid votes = 90 × 0.9 = 81 units
⇒ (54 - 46)% × 81 = 1620 votes
⇒ 8% × 81 = 1620 votes
⇒ 100% = [1620/(81 × 8)] × 100 = 250 votes
Hence, the total number of voters = 250 × 100 = 25000 votes