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At an election a candidate secures 40% votes and is defeated by the other candidate by a majority of 2020 votes. Find the total number of votes polled.
- a)9900
- b)10000
- c)10100
- d)None
- e)All of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
At an election a candidate secures 40% votes and is defeated by the ot...
Given:
- A candidate secures 40% of the votes.
- The candidate is defeated by a majority of 2020 votes.
We need to find the total number of votes polled.
Step 1: Let the total number of votes be x.
Step 1: Let the total number of votes be x.
- The first candidate received 40% of the total votes, which is:
- The second candidate received the remaining 60% of the total votes, which is:
Step 2: The majority by which the second candidate won is the difference between the votes received by the two candidates:
Majority = Votes of second candidate − Votes of first candidate
2020 = 0.6x − 0.4x
2020 = 0.2x
Step 3: Solve for x:
x = 2020/0.2 = 10100
The total number of votes polled is 10100.
The correct option is C: 10100.
Majority = Votes of second candidate − Votes of first candidate
2020 = 0.6x − 0.4x
2020 = 0.2x
Step 3: Solve for x:
x = 2020/0.2 = 10100
The total number of votes polled is 10100.
The correct option is C: 10100.
Most Upvoted Answer
At an election a candidate secures 40% votes and is defeated by the ot...
A candidate who was defeated got 40% of vote therefore it can be concluded that it the candidate who won the election got 60% of vote
So now let's consider total number of votes are x So according to question we have
60x÷100-40x÷100=2020
or,20x÷100=2020
or,x=10100 Therefore the answer
So now let's consider total number of votes are x So according to question we have
60x÷100-40x÷100=2020
or,20x÷100=2020
or,x=10100 Therefore the answer
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Community Answer
At an election a candidate secures 40% votes and is defeated by the ot...
Given:
- Candidate secured 40% votes
- Defeated by other candidate by a majority of 2020 votes
To Find: Total number of votes polled
Solution:
Let's assume the total number of votes polled as 'x'
Candidate secured 40% votes, which means he got 40% of x votes = (40/100)*x = 2x/5 votes
Let's assume the other candidate got y votes
As per the question, the other candidate defeated the first candidate by a majority of 2020 votes.
So, (y - 2x/5) = 2020 ----(1)
Also, total votes polled is equal to the sum of votes received by both candidates
So, x = y + 2x/5 ----(2)
Solving equations (1) and (2) to get the value of x
From equation (2), we get:
x - 2x/5 = y
3x/5 = y
Substituting the value of y in equation (1), we get:
3x/5 - 2x/5 = 2020
x/5 = 2020
x = 10100
Therefore, the total number of votes polled is 10100.
Hence, option (c) is the correct answer.
- Candidate secured 40% votes
- Defeated by other candidate by a majority of 2020 votes
To Find: Total number of votes polled
Solution:
Let's assume the total number of votes polled as 'x'
Candidate secured 40% votes, which means he got 40% of x votes = (40/100)*x = 2x/5 votes
Let's assume the other candidate got y votes
As per the question, the other candidate defeated the first candidate by a majority of 2020 votes.
So, (y - 2x/5) = 2020 ----(1)
Also, total votes polled is equal to the sum of votes received by both candidates
So, x = y + 2x/5 ----(2)
Solving equations (1) and (2) to get the value of x
From equation (2), we get:
x - 2x/5 = y
3x/5 = y
Substituting the value of y in equation (1), we get:
3x/5 - 2x/5 = 2020
x/5 = 2020
x = 10100
Therefore, the total number of votes polled is 10100.
Hence, option (c) is the correct answer.
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At an election a candidate secures 40% votes and is defeated by the other candidate by a majority of 2020 votes. Find the total number of votes polled.a)9900b)10000c)10100d)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about At an election a candidate secures 40% votes and is defeated by the other candidate by a majority of 2020 votes. Find the total number of votes polled.a)9900b)10000c)10100d)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At an election a candidate secures 40% votes and is defeated by the other candidate by a majority of 2020 votes. Find the total number of votes polled.a)9900b)10000c)10100d)Nonee)All of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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