In an election between two candidates, 65% of the voters cast their votes, out of which 3% of the votes were decided to be invalid. A candidate got 81965 votes which are 65% of the total valid votes. What is the total number of votes enrolled in that election?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 200000.
Given that
65% of the voters cast their votes, out of which 3% of the votes were decided to be invalid
A candidate got 81965 votes which is 65% of the total valid votes
According to the question
⇒ 65/100 × Total valid votes = 81965
Total valid votes = 81965 × 100/65 = 126100
Let the total number of votes be 100 units
The number of valid votes = 100 × 0.65 × 0.97 = 63.05 units
⇒ 63.05 units = 126100
⇒ 100 units = 126100 × 100/63.05 = 200000 Votes