Correct Answer - Option 3 : 93,600
Given:
28% of the total votes polled are invalid and the winner got 43,200 more votes than the losing candidate who got 35% votes.
Concepts used:
Total number of votes = Number of invalid votes + number of valid votes
Calculation:
Let the total number of votes polled be x.
28% of the total votes polled are invalid
Invalid votes = 0.28x
Total number of votes = Number of invalid votes + number of valid votes
⇒ x = 0.28x + number of valid votes
⇒ Number of valid votes = x – 0.28x = 0.72x
Losing candidate got 35% votes.
⇒ Votes gained by losing candidate = 35% of 0.72x
Total valid votes = Votes gained by winner + votes gained by losing candidate
⇒ 0.72x = Votes gained by winner + 0.252x
⇒ Votes gained by winner = 0.72x – 0.252x
⇒ Votes gained by winner = 0.468x
The winner got 43,200 more votes than the losing candidate who got 35% votes.
⇒ 0.468x – 0.252x = 43,200
⇒ 0.216x = 43,200
⇒ x = 43,200/0.216
⇒ x = 2,00,000 votes
Votes obtained by winner = 0.468x = 0.468 × 2,00,000 votes
= 93,600 votes
∴ Winner candidate got 93,600 votes.
