Correct Answer - Option 4 : 28500
Given:
20% of voters did not vote.
3500 votes were declared invalid.
The winner gets 60% of valid votes and wins by 5000 votes.
Formula used:
Percentage = (Value ⁄ Total Value) × 100
Calculation:
Let the total vote be ‘x’.
20% did not vote on the total voting list.
Number of voters appeared for voting = x × 80/100
⇒ Invalid votes = 3500
⇒ Valid votes = x × 80/100 – 3500
Difference between wining and losing candidate = 60 – 40 = 20% of valid votes
⇒ (x × 80/100 – 3500) × 20/100 = 5000
⇒ 4x/5 – 3500 = 25000
⇒ 4x/5 = 25000 + 3500
⇒ x = (28500 × 5)/4
⇒ x = 35625
Number of voters appeared for voting = x × 80/100
⇒ Number of voters appeared for voting = 35625 × 80/100
⇒ 28500
∴ Number of voters appeared for voting = 28500