In an election between two candidates, one got 60% of the total valid votes and 15% of the votes were invalid. If the total number of votes were 8400, the number of valid votes that the other candidate got were:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 2856.
We are given the following information:
The total number of votes in the election is 8400.
15% of the votes were invalid.
One candidate got 60% of the total valid votes.
Since 15% of the total votes were invalid, we can calculate the number of invalid votes as:
Invalid votes=15% of 8400=0.15 × 8400 = 1260.
The total number of valid votes is the remaining votes after accounting for the invalid votes:
Valid votes=8400 − 1260 = 7140.
The first candidate got 60% of the total valid votes:
Votes for the first candidate=60% of 7140 = 0.60 × 7140 = 4284.
Since the total number of valid votes is 7140, and the first candidate got 4284 votes, the remaining votes went to the second candidate:
Votes for the second candidate= 7140 − 4284 = 2856