Question

6.In an election, there are only two candidates. 10% of the voters did not cast their votes. 10% of the cast votes were rejected. The losing candidate got 40000 votes and lost by a margin which is equal to 1% of the total number of voters. Find the total number of voters

• A. 200000
• B. 300000
• C. 400000
• D. 100000

Answer 1

The correct option is D 100000

Solution |||

Let the total number of voters be 100V, then

Number of people who did not cast their vote = 10% of 100V = 10V

So, the number of people who cast their votes = 100V – 10V = 90V

Rejected votes = 9V

Valid votes = 81V

Loss margin = 1V

The losing candidate got 40000 votes.

So, the winning candidate got 40000 + V votes.

So, 40000 + (40000 + V) = 81V

⇒ V = 1000

⇒ 100V = 100000

Hence, option (D) is the right answer.