Only two candidate were contesting against each other in an election of a village. One candidate got 43.5% votes and was defeated by 3744 votes. How many votes did the winning candidate get?
- A16200
- B16500
- C16272
- D15275
Solution & Step-by-step Explanation
Let the total number of valid votes be 100%.
Votes secured by the defeated candidate =43.5%
Votes secured by the winning candidate =100%−43.5%=56.5%
Difference in percentages of votes between winner and loser:
Difference=56.5%−43.5%=13%
Given that this difference corresponds to 3744 votes:
13% of Total Votes=3744
Total Votes=
13
3744
×100=288×100=28,800
Now, calculate total votes obtained by the winning candidate (56.5%):
Winning Candidate Votes=
100
56.5
×28,800=56.5×288=16,272
Votes secured by the defeated candidate =43.5%
Votes secured by the winning candidate =100%−43.5%=56.5%
Difference in percentages of votes between winner and loser:
Difference=56.5%−43.5%=13%
Given that this difference corresponds to 3744 votes:
13% of Total Votes=3744
Total Votes=
13
3744
×100=288×100=28,800
Now, calculate total votes obtained by the winning candidate (56.5%):
Winning Candidate Votes=
100
56.5
×28,800=56.5×288=16,272