In an election between two candidates, 75% of the voters enrolled in the election cast their votes, out of which 2% were declared invalid. A candidate got 9261 votes, which were 75% of the valid votes. The total number of voters enrolled in that election were:

Correct option is A

Given:

75% of the voters enrolled cast their votes.

2% of the votes cast were declared invalid.

A candidate got 9261 votes, which were 75% of the valid votes.

Formula Used:

Votes cast = $$Total \ voters \ enrolled \times 75\%$$​​

Valid votes = Votes cast - 2% invalid votes

Candidate votes = $$75\% \times\ Valid\ votes$$​​

Solution:

Votes cast = $$X \times \frac{75}{100} = 0.75X$$​​

Valid votes = $$0.75X - 0.75X \times \frac{2}{100} = 0.75X \times 0.98 = 0.735X$$​​

​$$9261 = 0.75 \times 0.735X\\\ \\9261 = 0.55125X\\\ \\X = \frac{9261}{0.55125} = 16800$$​​

Therefore, the total number of voters enrolled in the election is 16800