In an election between two candidates, one of the candidates secured 35% of the votes cast and was defeated by the other candidate by 1296 votes. If there were no invalid votes, then the total number of votes polled was:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 4320.
Explanation:
Let the total number of votes polled be 100x.
Now, according to the given question,
Votes obtained by the losing candidate = 35% of 100x = 35x
Votes obtained by winning candidate = 100% - 35% = 65% of 100x = 65x
Now, the difference between the votes of winning candidate and losing candidate = 1296
⇒ 65x - 35x = 1296
⇒ 30x = 1296
⇒ x = 43.2
So, total number of votes polled = 100x = 100 × 43.2 = 4320.
Hence the total number of votes polled were 4320.