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
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Correct Answer: 15228
Solution : Let the number of votes Bhaskar wins be x Saral's votes = 98% of x Arjun's votes = 150% of 98% of x Given: The difference between the votes won by Bhaskar and Saral is 1296. ⇒ 2% of x = 1296 ⇒ x = 64800 Bhaskar's votes = 64800 Saral's votes = $\frac{98}{100}$ × 64800 = 63504 Arjun's votes = $\frac{150}{100}$ × 63504 = 95256 $\therefore$ The half of the difference between Arjun and Bhaskar's votes = $\frac{95256–64800}{2}$ = $\frac{30456}{2}$ = 15228 Hence, the correct answer is 15228.
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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
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 : In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for the losing candidate?
Option 1: 38500
Option 2: 11550
Option 3: 26950
Option 4: 13550
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 : Three candidates were participating in an election. The person in third place got 20% of the total votes while the difference between the votes of the winner and the first runner-up was 20% of the total votes. If the difference between the votes of the first runner-up and the second runner-up was 37,000, how many votes did the winner receive?
Option 1: 1,80,000
Option 2: 1,85,000
Option 3: 1,75,000
Option 4: 1,95,000
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