Bissoy.com
Doctors Medicines MCQs Q&A

In an election two candidates participated, 10% of voters did not cast their votes, out of which 80 votes declared invalid and the winner got 60% of the total valid votes and wins by 2000 votes. Find the total number of voters.  

In an election two candidates participated, 10% of voters did not cast their votes, out of which 80 votes declared invalid and the winner got 60% of the total valid votes and wins by 2000 votes. Find the total number of voters.   Correct Answer 11,200

Given:

2 candidates participated,

10% votes did not cast, 80 votes are invalid

Winner gets 60% votes of the valid votes and wins by 2000 votes

Calculation:

Let the total number of valid votes be 100

Winner gets 60% of the votes,

⇒ 60/100 × 100

⇒ Winner gets 60 votes

Losing candidate gets,

⇒ 100 – 60

⇒ 40

Losing candidate gets 40 votes

Difference between them = 60 – 40

⇒ Difference between them = 20

According to the question,

20 = 2000

⇒ 1 = 100

⇒ Total number of valid votes = 100 × 100

⇒ Total number of valid votes = 10,000

Invalid votes = 80

⇒ Total casted votes = 10,000 + 80

⇒ Total casted votes = 10,080

10% of voters did not cast their votes.

⇒ 100% – 10% = 90% cast their votes

⇒ 90% = 10,080

⇒ 1% = 10,080/90

⇒ 100% = 100 × 10,080/90

⇒ 100% = 100 × 112

⇒ 100% = 11,200

∴ Total number of voters is 11,200.

Related Questions

In an election, 10% of voters do not cast their votes. Out of the total cast votes, 450 becomes invalid. 55% of total valid votes are secured by A and the remaining votes are secured by B. A wins the election by 450 votes. Find the number of voters who did not cast their votes.
In an election for the Legislative Assembly constituency of Nagpur, three candidates are contesting – candidate A, candidate B and candidate C. The total number of registered voters in the constituency is 10000. Out of the total registered voters, 20% did not cast their vote, and a total of 10% of the total votes casted were declared as invalid. If the candidate A got 60% of the total valid votes polled and candidate B got 20% of the total valid votes polled, find out the percentage of the total number of registered voters who voted for the candidate C.
In an election, three candidates are participating. 25% voters didn’t cast their votes and  6.66% of the total votes are invalid. C got 2450 valid votes which is 40% more than the valid votes got by B. If A got only 40% of the total valid votes, then find the individual valid votes of A, B and C respectively.
A village conducted an election for the next head of Panchayat in which A and B participated. 20% of voters did not vote and few of the votes got the invalid tag. The winner gets 70% of the valid votes and wins by 1000 votes. Find the number of invalid votes if the total number of registered voters is 5000.
A, B, and C participated in an election, in which 10% of total voters didn’t cast their votes and the exact number of votes was disqualified as they were invalid. A won the election. The difference between the vote share of B and C was 12.5% of the valid votes. If A won by 2400 votes and got 50% of valid votes, find out the total voters in the voting list.
In an election two candidates A and B participate, 15% voters did not cast their votes and 380 votes are invalid. If A wins the election by 800 votes and gets 50% of the total votes to the voters whose names are in the voter list, then find the number of votes obtained by B in this election.
In this election, there are only two candidates. 25 percent of the voters in the election did not cast their votes. The winner got 64% of the remaining votes. Then find the ratio between the number of voters in the election who did not cast their votes and the votes obtained by the loser.
In an election, two candidates participated in which 20% of voters of the voting list did not vote, 3500 votes declared invalid and the winner gets 60% votes of the valid votes and wins by 5000 votes. Find the number of voters who appeared for voting?
In an election, two candidates participated in which 20% of voters of the voting list did not vote. 3500 votes declared invalid and the winner gets 60% votes of the valid votes and wins by 5000 votes. Find the number of voters who appeared for voting.
In an election between two candidates, 10% of voters did not cast their vote. Out of the cast votes, 3000 votes becomes invalid. If the winner won by 18000 votes which is 28.56% of the total cast votes, then find the number of valid votes.