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

A. 16000

B. 16400

C. 16800

D. 18000

Answer: Option C

Solution(By Examveda Team)

Total valid votes got candidates
= $$\frac{9261}{75}$$ × 100
= 12348
Let total number of votes = x
Total votes polled
= x × $$\frac{75}{100}$$
= $$\frac{75x}{100}$$
Valid votes = $$\frac{75x}{100}$$ × $$\frac{98}{100}$$
According to the question,
⇔ $$\frac{75x}{100}$$ × $$\frac{98}{100}$$ = 12348
⇔ x = 16800
Hence, total votes = 16800