In the election, 8% of the voters did not cast their votes. Two candidates contested the election in which the winning candidate got 48% of the total votes and won the election by 1100 votes. Find the total number of voters in the election, given that all the votes cast were valid.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 27500.
Calculations:
Let the total number of voters enrolled be 100x
8% didn't vote, number of voters left = 92% of 100x = 92x
Number of votes the winning candidate get = 48% of 100x = 48x
The losing candidate = 100x - 8x - 48x = 44x
According to the question;
⇒ 48x - 44x = 1100
⇒ 4x = 1100
⇒ x = 275
Hence, the total number of votes polled = 100x = 100 × 275 = 27500