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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 31250.
Given:
64% of the voters cast their votes, out of which 4% of the votes were declared invalid
Let the total number of votes be 100 units
Calculations:
According to the question;
The number of votes to be casted = 64 × 100/100 = 64 units
The number of valid votes = 64 × 96/100 = 61.44 units
⇒ 64% of valid votes = 12288
⇒ 64/100 × 61.44 = 12288
⇒ 1 unit = 12288/(64 × 61.44) = 312.5
⇒ 100 units = 312.5 × 100 = 31250
Hence, the total number of votes is 31250