In an election, a candidate who gets 78% votes is elected by a margin of 504 votes. What is the total number of votes polled?
- A800
- B750
- C900
- D850
Solution & Step-by-step Explanation
Let the total number of votes polled be x.
Votes obtained by the winning candidate = 78% of x
Votes obtained by the losing candidate = (100−78)%=22% of x
The margin of victory is the difference between their votes:
Margin=78% of x−22% of x=56% of x
Given that the margin is 504 votes:
100
56
×x=504
x=
56
504×100
x=9×100=900
Therefore, the total number of votes polled is 900.
Votes obtained by the winning candidate = 78% of x
Votes obtained by the losing candidate = (100−78)%=22% of x
The margin of victory is the difference between their votes:
Margin=78% of x−22% of x=56% of x
Given that the margin is 504 votes:
100
56
×x=504
x=
56
504×100
x=9×100=900
Therefore, the total number of votes polled is 900.