At an election involving two candidates, 68 votes were declared invalid. The winning candidate se- cures 52% and wins by 98 votes. The total number of votes polled is
(a)2382
(b)2450
(c)2518
(d)None of these
Answer
Answer (as printed): C
Explanation
Let the number of valid votes be x. Then, 52% of x – 48% of x = 98 4 ⇔ 4% of x = 98 ⇔ x = 98 100 ⇔ x = 98 × 25 = 2450. \ Total number of votes polled = (2450 + 68) = 2518.
Explanation as extracted from the printed page; notation may be imperfect.