Vinod and Sanjay were fighting against each other for the post of a village Pradhan. Sanjay got 47.5% votes and lost the election by 270votes. How many votes did Vinod get (assuming that all the villagers participated in the voting)?
- A2655
- B2835
- C2385
- D2565
Solution & Step-by-step Explanation
Let the total number of votes cast be V.
Sanjay received 47.5% of the total votes.
Since there are only two candidates, Vinod must have received the remaining percentage of votes:
Votes for Vinod=100%−47.5%=52.5%
The difference in percentage between Vinod and Sanjay's votes is:
Difference=52.5%−47.5%=5%
Given that Sanjay lost the election by 270 votes:
5% of V=270
100
5
×V=270
V=
5
270×100
=5400 votes
The total number of votes is 5400.
Now, calculate the number of votes obtained by Vinod:
Votes for Vinod=52.5% of 5400
Votes for Vinod=
100
52.5
×5400=52.5×54=2835
Sanjay received 47.5% of the total votes.
Since there are only two candidates, Vinod must have received the remaining percentage of votes:
Votes for Vinod=100%−47.5%=52.5%
The difference in percentage between Vinod and Sanjay's votes is:
Difference=52.5%−47.5%=5%
Given that Sanjay lost the election by 270 votes:
5% of V=270
100
5
×V=270
V=
5
270×100
=5400 votes
The total number of votes is 5400.
Now, calculate the number of votes obtained by Vinod:
Votes for Vinod=52.5% of 5400
Votes for Vinod=
100
52.5
×5400=52.5×54=2835