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?
Question:
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?
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?
Options
Answer: (3) 8
Explanation:
Total eligible voters = 16,000 Let turnout = T voters Non-voters = 16000 − T = y% of 16000 10% of votes cast were invalid → valid votes = 0.9T Winner got 59.375% of valid votes Loser got 40.625% Vote margin = 18.75% of valid votes 0.1875 × valid votes = 2484 valid votes = 2484 / 0.1875 = 2484 × (16/3) = 828 × 16 = 13248 So votes cast T = 13248 / 0.9 = 14720 Non-voters = 16000 − 14720 = 1280 y% = (1280 / 16000) × 100 = 8% Final Answer: 8
Explanation:
Total eligible voters = 16,000 Let turnout = T voters Non-voters = 16000 − T = y% of 16000 10% of votes cast were invalid → valid votes = 0.9T Winner got 59.375% of valid votes Loser got 40.625% Vote margin = 18.75% of valid votes 0.1875 × valid votes = 2484 valid votes = 2484 / 0.1875 = 2484 × (16/3) = 828 × 16 = 13248 So votes cast T = 13248 / 0.9 = 14720 Non-voters = 16000 − 14720 = 1280 y% = (1280 / 16000) × 100 = 8% Final Answer: 8
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