In an election, two candidates contested. The winner secured 54% of the votes and won by 256 votes. Find the total number of votes polled if 96 votes were declared invalid?
- A3784
- B3296
- C3994
- D3568
Solution & Step-by-step Explanation
Let the total number of valid votes be V.
The winner got 54% of the valid votes.
Therefore, the loser got:
100%−54%=46% of the valid votes
The difference between their votes is:
54% of V−46% of V=8% of V
Given that the winner won by 256 votes:
8% of V=256
100
8
×V=256
V=
8
256×100
=32×100=3200 valid votes
Total number of votes polled includes both valid and invalid votes:
Total Votes Polled=Valid Votes+Invalid Votes
Total Votes Polled=3200+96=3296
The winner got 54% of the valid votes.
Therefore, the loser got:
100%−54%=46% of the valid votes
The difference between their votes is:
54% of V−46% of V=8% of V
Given that the winner won by 256 votes:
8% of V=256
100
8
×V=256
V=
8
256×100
=32×100=3200 valid votes
Total number of votes polled includes both valid and invalid votes:
Total Votes Polled=Valid Votes+Invalid Votes
Total Votes Polled=3200+96=3296