In an election between two candidates, winner got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 80,000, the number of valid votes that the loser candidate got, was-

Question: In an election between two candidates, winner got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 80,000, the number of valid votes that the loser candidate got, was-

Solution:
Given,
20% of the votes were invalid
∴ the valid votes = (100 - 20) = 80%

∴ Number of valid votes = (80% of 80,000)
= (80/100 of 80,000)
= 64,000

∴ Winner candidates got = (55% of 64,000)
= (55/100 of 64,000)
= 35,200

So, the loser got = (64,000 - 35,200)
= 28,800