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In an election, two candidates participated in which 20% of voters of the voting list did not vote. 3500 votes declared invalid and the winner gets 60% votes of the valid votes and wins by 5000 votes. Find the number of voters who appeared for voting.

In an election, two candidates participated in which 20% of voters of the voting list did not vote. 3500 votes declared invalid and the winner gets 60% votes of the valid votes and wins by 5000 votes. Find the number of voters who appeared for voting. Correct Answer 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 winning and losing candidate = 60 – 40 = 20% of valid votes

⇒  × (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 is 28500

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