Question : In an election, Ajay and Mohan are contesting for the Secretary post in a trade union of 9000 workers. 80% of the workers cast their votes, out of which 20% votes were found invalid. Ajay defeated Mohan by 1152 votes. How many votes did Ajay get?
Option 1: 3456
Option 2: 2304
Option 3: 4480
Option 4: 3546
Correct Answer: 3456
Solution : Total number of workers = 9000 Number of workers who cast their votes = 80% of 9000 = 0.8 × 9000 = 7200 Number of invalid votes = 20% of 7200 Number of valid votes = 80% of 7200 = 0.8 × 7200 = 5760 Margin = 1152 Let $x$ be the votes Mohan got. So, $x+(x+1152)=5760$ ⇒ $2x=5760-1152$ ⇒ $x = \frac{4608}{2} = 2304$ Votes Ajay got = 2304 + 1152 = 3456 Hence, the correct answer is 3456.
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Question : In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 9500 votes which were 80% of the valid votes. Find the total number of voters enrolled in that election.
Option 1: 14780
Option 2: 15100
Option 3: 15625
Option 4: 16100
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%
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
Question : In an election between two candidates, 85% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6,936 votes which was 85% of the valid votes. Find the total number of voters enrolled in that election.
Option 1: 10,500
Option 2: 10,800
Option 3: 10,000
Option 4: 10,700
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
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