In an election, two candidates participated in which 20% of voters of

1.	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?1. 275002. 295003. 300004. 28500
Answer» 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

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?1. 275002. 295003. 300004. 28500

Answer» 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