Quant Exam > Quant Questions > 12 percent of the voters in an election did n...
Start Learning for Free
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the election
- a)50000
- b)75000
- c)100000
- d)125000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
12 percent of the voters in an election did not cast their votes. In t...
Answer – c) 100000 Explanation : 12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So, (45/100 -43/100)*P = 2000
P = 100000
P = 100000
Most Upvoted Answer
12 percent of the voters in an election did not cast their votes. In t...
12% percent didn’t cast their vote. 45% of total votes get by the winning candidates, so remaining 43% will be scored by his rival. So, (45/100 -43/100)*P = 2000
P = 100000
P = 100000
Free Test
FREE
| Start Free Test |
Community Answer
12 percent of the voters in an election did not cast their votes. In t...
Given:
- 12% of the voters did not cast their votes.
- There are only two candidates.
- The winner obtained 45% of the total votes and defeated his rival by 2000 votes.
To find:
- The total number of votes in the election.
Solution:
Let's assume that the total number of voters is "x".
According to the question,
- 12% of the voters did not cast their votes. So, the number of voters who cast their votes = 88% of x = 0.88x.
Now, let's consider the votes each candidate received.
- The winner obtained 45% of the total votes. So, the number of votes the winner received = 0.45x.
- The loser obtained 100% - 45% = 55% of the total votes. So, the number of votes the loser received = 0.55x.
According to the question,
- The winner defeated his rival by 2000 votes. So,
- Number of votes the winner received - Number of votes the loser received = 2000
- 0.45x - 0.55x = 2000
- -0.1x = -2000
- x = 20000
Therefore, the total number of votes in the election is 20000. But this is the number of total voters. We need to find the number of voters who cast their votes.
- Number of voters who cast their votes = 0.88x = 0.88 * 20000 = 17600
Therefore, the total number of votes in the election is 17600. But this is not one of the answer choices.
Now, we need to check which answer choice is closest to 17600.
- (A) 50000: Too high.
- (B) 75000: Too high.
- (C) 100000: Closest to 17600.
- (D) 125000: Too high.
- (E) None of these: Not correct.
Therefore, the correct answer is (C) 100000.
Final Answer:
The total number of votes in the election is 100000.
- 12% of the voters did not cast their votes.
- There are only two candidates.
- The winner obtained 45% of the total votes and defeated his rival by 2000 votes.
To find:
- The total number of votes in the election.
Solution:
Let's assume that the total number of voters is "x".
According to the question,
- 12% of the voters did not cast their votes. So, the number of voters who cast their votes = 88% of x = 0.88x.
Now, let's consider the votes each candidate received.
- The winner obtained 45% of the total votes. So, the number of votes the winner received = 0.45x.
- The loser obtained 100% - 45% = 55% of the total votes. So, the number of votes the loser received = 0.55x.
According to the question,
- The winner defeated his rival by 2000 votes. So,
- Number of votes the winner received - Number of votes the loser received = 2000
- 0.45x - 0.55x = 2000
- -0.1x = -2000
- x = 20000
Therefore, the total number of votes in the election is 20000. But this is the number of total voters. We need to find the number of voters who cast their votes.
- Number of voters who cast their votes = 0.88x = 0.88 * 20000 = 17600
Therefore, the total number of votes in the election is 17600. But this is not one of the answer choices.
Now, we need to check which answer choice is closest to 17600.
- (A) 50000: Too high.
- (B) 75000: Too high.
- (C) 100000: Closest to 17600.
- (D) 125000: Too high.
- (E) None of these: Not correct.
Therefore, the correct answer is (C) 100000.
Final Answer:
The total number of votes in the election is 100000.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 12 percent of the voters in an election did not cast their votes. In this election there are only two candidates. The winner by obtaining 45% of the total votes and defeated his rival by 2000 votes. The total number of votes in the electiona)50000b)75000c)100000d)125000e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup