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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Correct Answer: 2450
Solution : Let the number of persons enrolled in the voter list be $x$. The 2% of the enrolled persons did not participate in the election, which implies that 98% of the total enrolled persons did participate. The total number of cast votes = $0.98x$ Included, 500 votes were invalid, The total number of valid votes = $0.98x - 500$ Candidate A received 43% of the total enrolled votes = $0.43x$ Since A defeated B by 200 votes, B must have received = $0.43x - 200$ votes. $0.98x - 500 = 0.43x + (0.43x - 200)$ ⇒ $0.98x - 500 = 0.86x - 200$ ⇒ $0.12x = 300$ ⇒ $x = \frac{300}{0.12} = 2500$ The total number of cast votes $=0.98x = 0.98 \times 2500 = 2450$ Hence, the correct answer is 2450.
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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 : In an election, a candidate secures 40% of the votes but is defeated by the only other candidate by a majority of 298 votes. Find the total number of votes recorded.
Option 1: 1580
Option 2: 1490
Option 3: 1470
Option 4: 1530
Question : In a constituency, 85% of the total number of people on the electoral roll cast their votes during an election. 10% of the votes cast were declared invalid. If there were 3,00,000 people on the electoral roll and Dharam secured 1,37,700 valid votes, what percentage of the total number of valid votes did Dharam secure?
Option 1: 50.5%
Option 2: 70.2%
Option 3: 45.9%
Option 4: 60.0%
Question : In a constituency, 90% of the total number of people on the electoral roll cast their votes during an election. 15% of the votes cast were declared invalid. Jeeta secured 60% of the valid votes. If Jeeta secured 91,800 valid votes, what was the total number of people on the electoral roll?
Option 1: 2,16,000
Option 2: 2,25,000
Option 3: 1,80,000
Option 4: 2,00,000
Question : In an election, there were only two candidates. One of the candidates secured 40% of the votes and was defeated by the other candidate by 298 votes. The total number of votes polled is:
Option 1: 745
Option 2: 1460
Option 3: 1490
Option 4: 1500
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