At an election involving two candidates, 68 votes are declared invalid. The winning candidate gets 52% of the valid votes and wins by 98 votes. The total number of votes polled is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 2518.
Let the number of votes polled be x.
According to the given question,
Valid votes = x - 68
Votes got by winning candidate = 52% of (x - 68)
Votes got by loosing candidate = 48% of (x - 68)
Now, 52% of (x - 68) - 48% of (x - 68) = 98
⇒ 4% of (x - 68) = 98
⇒ x - 68 = 2450
⇒ x = 2450 + 68
⇒ x = 2518