In an election between two candidates, 30% of voters did not cast their votes, and 200 votes were declared invalid. The winner got 65% of the valid votes. If he won by 1200 votes, then find the total votes.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 6000.
Let the total registered votes be 100x
30% of voters did not cast their votes,
Voers cast their votes = 100x - 30x = 70x
200 votes were declared invalid thus,
Valid votes = [70x - 200]
The winner got 65% of the valid votes then, the looser got 35% of the valid votes
Now,
⇒ 65% × [70x - 200] - 35% × [70x - 200] = 1200
⇒ [70x - 200] (65% - 35%) = 1200
⇒ [70x - 200] × 30/100 = 1200
⇒ [70x - 200] = 4000
⇒ 70x = 4200
⇒ x = 60
Thus, total votes = 100x = 6000