In an election between two candidates, 84 votes were declared as invalid. The winning candidate secures 62% of the valid votes and wins by 96 votes. The number of votes polled is:
- A424
- B543
- C641
- D484
Solution & Step-by-step Explanation
Let the total number of valid votes be V.
The winning candidate got 62% of V.
The losing candidate got (100%−62%)=38% of V.
The difference in their vote shares is the margin of victory:
Difference=62%−38%=24% of V
Given that the winning candidate wins by 96 votes:
100
24
×V=96
V=
24
96×100
=4×100=400
So, the total number of valid votes is 400.
Total votes polled:
Total votes polled=Valid votes+Invalid votes=400+84=484
The winning candidate got 62% of V.
The losing candidate got (100%−62%)=38% of V.
The difference in their vote shares is the margin of victory:
Difference=62%−38%=24% of V
Given that the winning candidate wins by 96 votes:
100
24
×V=96
V=
24
96×100
=4×100=400
So, the total number of valid votes is 400.
Total votes polled:
Total votes polled=Valid votes+Invalid votes=400+84=484