Question

In an election, 2 candidates participated. 10% of the total voters did not vote. 300 votes were declared invalid and the winner gets 60% of the total voters and wins by 900 votes. find number of valid votes.
1. 2700
2. 1500
3. 3700
4. 2800
5. 2900

Answer 1

Correct Answer - Option 2 : 1500

Given:

Total Voters = 100%

Voters not voted = 10%

Voters voted = 90%

Invalid votes = 300

Valid votes = 90% - 300

Votes secured by winner candidate = 60%  (the winner gets 60% of the total voters)

Winner candidate won by 900 votes.

Calculation:

Votes secured by losing candidate =  valid votes - winner votes

⇒ (90% - 300) - 60%

= 30% - 300

As we know,

Winner candidate won by 900 votes.

⇒ 60% - (30% - 300) = 900

⇒ 30% + 300 = 900

⇒ 30% = 600

⇒ 90% = 1800

∴ Total valid votes = 1800 - 300= 1500