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
Correct Answer: 20000
Solution : Given: 30% of voters did not cast their votes 20% are declared as invalid Winner gets = 64% of valid votes Calculation: Let the total number of voters in the voting list be 100% According to the question, 30% of voters did not cast their votes = 100 of 30% = 30 Remaining votes = (100 - 30)% = 70% 20% are declared as invalid = 20% of 70% = 14% Valid votes = 70% - 14% = 56% Winner candidate gets 64% of valid votes = 64% of 56% The loser candidate gets 36% of valid votes = 36% of 56% According to the question, 56% of 64% - 56% of 36% = 3136 ⇒ 56% × $(\frac{28}{100})$ = 3136 ⇒ 1% = $\frac{(3136 × 100)}{(28 × 56)}$ ⇒ 1% = 200 ⇒ 100% = 20,000 Hence, the correct answer is 20,000.
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Question : 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.
Option 1: 25000
Option 2: 26000
Option 3: 24500
Option 4: 25500
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, 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 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 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
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