Question : In an election, a candidate secures 42% of the votes polled but is defeated by his only opponent by a majority of 3080 votes, because of 1400 invalid votes. The percentage of invalid votes is _______.
Option 1: 5%
Option 2: 3%
Option 3: 4%
Option 4: 6%
Correct Answer: 5%
Solution : Let the total number of valid votes polled as $100x$. The candidate secured 42% of the votes, which means his opponent's votes and 1400 comprises of remaining 58% of the votes. The difference between the votes secured by the opponent and the candidate is given as 3080 votes. $⇒58x - 42x = 3080+1400$ $⇒x = 280$ So, the total number of valid votes polled = $100x = 28000$ The percentage of invalid votes = $\frac{1400}{28000}$ × 100 = 5% Hence, the correct answer is 5%.
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Question : In an election between two candidates, 30% of the electorate did not cast their votes. 20% of the votes polled were found invalid. The winning candidate got 64% of the valid votes and won by a majority of 3136 votes. Find the number of voters enrolled in the voter list.
Option 1: 20000
Option 2: 25000
Option 3: 24000
Option 4: 30000
Question : In an election between two candidates, the difference between the candidates who won and lost was 2,500 votes. The candidate who won got 75% of the votes, and there were no invalid votes. The total number of votes polled by the losing candidate was:
Option 1: 1875
Option 2: 5000
Option 3: 1250
Option 4: 3750
Question : In an assembly election, a candidate got 60% of the total valid votes. 2% of the total votes were declared invalid. If the total number of voters is 1,50,000, then find the number of valid votes polled in favour of that candidate.
Option 1: 90,000
Option 2: 78,000
Option 3: 86,400
Option 4: 88,200
Question : In an election between two candidates, a candidate secured 60% of the valid votes and is elected by a majority of 180 votes. The total number of valid votes is:
Option 1: 1200
Option 2: 1000
Option 3: 800
Option 4: 900
Question : In an election between two candidates, 65% of the voters cast their votes, out of which 3% of the votes were decided to be invalid. A candidate got 81,965 votes, which is 65% of the total valid votes. What is the total number of votes enrolled in that election?
Option 1: 2,00,000
Option 2: 1,90,000
Option 3: 2,15,000
Option 4: 1,85,000
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