Q1. In an election between two candidates, y% of the voters did not vote. 10% of the votes cast were declared invalid, while all the valid votes were cast in favour of either of the two candidates. The candidate who got 59.375% of the valid votes cast was declared elected by 2484 votes. If the number of people eligible to vote in that election was 16,000, what is the value of y?
- A. 7.2
- B. 8.4
- C. 8
- D. 7.5
Solution
Margin = (59.375 - 40.625)% = 18.75% of valid votes. Valid votes = 2484 / 0.1875 = 13248. Cast votes = 13248 / 0.9 = 14720. 16000 * (1 - y/100) = 14720 => 1 - y/100 = 0.92 => y = 8.