In an election between two candidates, 64% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 12,288 votes which were 64% of the total valid votes. Find the total number of votes enrolled in that election.

Correct option is C

Given:
Percentage of voters who cast their votes = 64%
Percentage of invalid votes = 4%
Votes received by a candidate = 12,288 votes
Votes received = 64% of total valid votes
Formula Used:
Total valid votes = Total votes cast × (100 - Percentage of invalid votes)/100
Total votes cast = Total enrolled voters × Percentage of voters who cast their votes/100
Solution:
Let the total number of enrolled voters be X.
Total votes cast = (X × 64) / 100 = 0.64X
Now, valid votes = (0.64X × (100 - 4)) / 100 = 0.64X × 0.96 = 0.6144X
According to the given data, 64% of valid votes = 12,288 votes.
0.64 × 0.6144X = 12,288
0.393216X = 12,288
X = 12,288 / 0.393216
X = 31,250
Thus, the total number of votes enrolled in the election is 31,250.
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