Question : Two candidates A and B contested in an election. 80% of the voters cast their votes, out of which 2% of the votes were invalid. A got 9,408 votes which was 60% of the valid votes. Find the total number of votes.
Option 1: 12,000
Option 2: 22,000
Option 3: 20,000
Option 4: 21,000
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Correct Answer: 20,000
Solution : Let $x$ be the total number of votes. Number of votes casted = 80% of $x$ = $\frac{80}{100}×x$ Number of invalid votes = 2% of votes cast Number of valid votes = 98% of votes cast= $\frac{98}{100}×\frac{80}{100}×x$ Number of votes A got = 60% of valid votes According to the question, $\frac{60}{100}×\frac{98}{100}×\frac{80}{100}×x=9408$ ⇒ $x=\frac{9408×100×100×100}{60×98×80}= 20000$ Hence, the correct answer is 20,000.
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Question : In an election between two candidates, 85% of the electorate cast their votes. 6% of the votes polled were declared invalid. If the winning candidate secured 60% of the valid votes, how many votes did the winning candidate receive if the number of eligible voters was 10000?
Option 1: 4784 votes
Option 2: 4804 votes
Option 3: 4794 votes
Option 4: 4824 votes
Question : A total of 7,50,000 voters participated in the election. A candidate received 3,82,500 votes, which was 60% of the total valid votes. What was the percentage of invalid votes in the election?
Option 1: 15%
Option 2: 20%
Option 3: 12%
Option 4: 18%
Question : In an election between two candidates, one got 60% of the total valid votes, 90% of the votes were valid. If the total number of votes was 12000, then what was the number of valid votes that the other candidate got?
Option 1: 8840
Option 2: 4320
Option 3: 10800
Option 4: 6200
Question : Rajat, Pooja, and Abha participate in the election. If the total votes polled are 40,000 and 10% of votes are invalid, Rajat got 36% of valid votes and Pooja got 40% of valid votes, then find the number of votes Abha got.
Option 1: 9245
Option 2: 1024
Option 3: 8640
Option 4: 5760
Question : In an election, a candidate who got 73% of the votes is elected by a majority of 1426 votes. If 20% of votes are invalid, then what is the total number of votes polled?
Option 1: 1878
Option 2: 4824
Option 3: 2865
Option 4: 3875
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