In an election between two candidates, one candidate got 60% of the valid votes. If the total number of votes polled were 8850, and 10% of the votes were invalid, then find the number of valid votes that the other candidate got.

Step 1: Calculate the total number of valid votes
Total votes polled =8850
Invalid votes =10%
Valid votes =100%−10%=90% of total votes

Valid Votes=8850×
100
90
​
=885×9=7965
Step 2: Find the percentage of valid votes for the other candidate
The first candidate got 60% of the valid votes.
Therefore, the other candidate must have received:

100%−60%=40% of the valid votes
Step 3: Calculate the number of valid votes for the other candidate

Votes for other candidate=7965×
100
40
​

Votes for other candidate=7965×0.4=3186