In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 9500 votes, which were 80% of the valid votes. Find the total number of voters enrolled in that election.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 15625.
Given that
In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid
A candidate got 9500 votes which were 80% of the valid votes
Let the total number of votes = 100x
According to the question
The number of casting votes = 80% × 100x = 80x
The number of valid votes = 80x × 95/100 = 76x
Now,
80% of the valid votes = 9500
(80/100) × 76x = 9500
x = 156.25
100x = 156.25 × 100 = 15625
Hence, the total number of voters enrolled in that election is 15625