in an election between two candidates one got 55% of the valid votes. 20% of the votes are invalid. if the total votes are 500 what is the percent of total votes that the other person got
.55 * .80 = .44
So, the other person got 56% of the total
To find the percentage of total votes that the other person got, we need to calculate the percentage of valid votes received by the other candidate.
Step 1: Calculate the number of invalid votes:
Invalid votes = 20% of total votes = 20/100 * 500 = 100 votes
Step 2: Calculate the number of valid votes:
Valid votes = Total votes - Invalid votes = 500 - 100 = 400 votes
Step 3: Calculate the number of valid votes received by the first candidate:
First candidate's valid votes = 55% of valid votes = 55/100 * 400 = 220 votes
Step 4: Calculate the number of valid votes received by the other candidate:
Other candidate's valid votes = Total valid votes - First candidate's valid votes = 400 - 220 = 180 votes
Step 5: Calculate the percentage of total votes that the other candidate got:
Percentage of total votes = (Other candidate's valid votes / Total votes) * 100
= (180 / 500) * 100
= 36%
Therefore, the other candidate received 36% of the total votes.