In an election, the winner was supported by 46% of all the voters in the list, and he got 410 votes more than his only rival. 10% of the voters on the voters’ list did not cast their votes, and 60 voters cast their ballot papers blank. How many voters were on the list?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 17500.
Let the total votes be 100%.
Votes given to the winner = 46%
Total voters who did not cast vote = 10%
Total voters who cast votes = 90%
Total voters who cast their ballot paper blank = 60
Total valid votes cast by the voters = 90% - 60
Votes cast tto the looser = (90% - 60) - 46% = 44% - 60
The total amount of votes by which the winner won = 410
According to the question -
⇒ 46% - (44% - 60) = 410
⇒ 2% + 60 = 410
⇒ 2% = 350
⇒ 1% of voters = 350/2 = 175
Total number of voters on the list = 175 × 100 = 17500