In an election, the winner was supported by of all the voters in the list, and he got votes more than his only rival. of the voters on the voters' list did not cast their votes, and voters cast their ballot papers blank. How many voters were on the list?
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let the total number of voters on the list be .
According to the question:
* Voters who did not cast their votes = of
* Total votes cast =
* Out of the cast votes, voters cast blank ballots. So, total valid votes polled for the candidates =
Votes obtained by the winner = of all voters on the list =
Votes obtained by the rival (loser):
The winner won by a majority of votes over his rival:
Therefore, there were voters on the list.
According to the question:
* Voters who did not cast their votes = of
* Total votes cast =
* Out of the cast votes, voters cast blank ballots. So, total valid votes polled for the candidates =
Votes obtained by the winner = of all voters on the list =
Votes obtained by the rival (loser):
The winner won by a majority of votes over his rival:
Therefore, there were voters on the list.