Question : In an election contested between two candidates, 15% of the total voters did not cast their votes and 100 votes got disqualified. The candidate who won the election won by securing 45% of the total votes and won by a margin of 400 votes. Find the total number of voters.
Option 1: 6,000
Option 2: 3,600
Option 3: 10,000
Option 4: 3,500
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Correct Answer: 6,000
Solution : Let total voters be $x$ Votes that got disqualified $= 100$ Percentage of votes for winner = 45% The margin between the winner and loser = 400 votes Total votes cast = Total voters – voters who did not cast votes – Number of votes disqualified = 100% of $x$ – 15% of $x$ – 100 = 85% of $x$ – 100 Now, votes won by winner = 45% of $x$ So, votes won by loser = 45% of $x$ – 400 According to the question, Total votes counted = Number of votes for winner + Number of votes for loser or, 85% of $x$ – 100 = 45% of $x$ + 45% of $x$ – 400 or, 300 = 90% of $x$ – 85% of $x$ or, 300 = 5% of $x$ or, 300 = $\frac{5}{100}x$ or, $x$ = 6000 Hence, the correct answer is 6,000.
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Question : In an election between two candidates, 10% of the voters in the voter list did not cast their vote, whereas 10% of the votes cast were found to be invalid. The winning candidate got 56% of the valid votes and won the election by a margin of 1458 votes. What is the total number of voters enrolled in the voter list?
Option 1: 14000
Option 2: 15000
Option 3: 16000
Option 4: 13000
Question : Two candidates contested an election. One of them got 64% of the votes and won by 434 votes. What was the total number of votes polled?
Option 1: 1550
Option 2: 1345
Option 3: 1680
Option 4: 1684
Question : Three candidates P, Q, and R participated in an election. P got 35% more votes than Q, and R got 15% more votes than Q. P overtook R by 2,412 votes. If 90% of voters voted and no invalid or illegal votes were cast, then what was the number of voters on the voting list?
Option 1: 46,900
Option 2: 42,800
Option 3: 42,210
Option 4: 48,500
Question : In an election between three candidates, Arjun, Bhaskar, and Saral contested for a post. Arjun got 50% more votes than Saral and Saral got 2% fewer votes than Bhaskar. The difference between the votes won by Bhaskar and Saral is 1296. What is the half of the difference between the votes won by Arjun and Bhaskar?
Option 1: 3888
Option 2: 13988
Option 3: 7766
Option 4: 15228
Question : In an election, 2% of persons enrolled in the voter list did not participate and 500 votes were invalid. Two candidates A and B fought the election and A defeated B by 200 votes. If 43% of the persons enrolled in the voter list cast their votes in favour of A, then what is the number of the total cast votes?
Option 1: 2450
Option 2: 2800
Option 3: 3000
Option 4: 3250
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