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?
Answer & explanation
Correct answer: option 1
Let the total number of votes enrolled be 100x
65% of the voters cast their votes
Number of votes cast = 100x × \(\frac{ 13}{20}\)
= 65x
invalid votes = 3% . so, valid votes = 97%
Number of valid votes = Number of Votes cast x 97%
= 65x × \(\frac{97}{100}\)
= 63.05x
A candidate got 81965 votes which are 65% of the total valid votes
A candidate gets votes = 65% of total valid votes
= 63.05x × \(\frac{65}{100}\)
According to the question,
63.05x × \(\frac{65 }{1000000}\) = 81965
x = 2000
100x = 200000
So , total number of total votes = 200000