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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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?

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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

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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.

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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?

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