Question

In a college election fought between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. if the total votes were 15,200, what is the number of valid votes the other candidate got

Answer 1

Solution :-

Total votes = 15200

Percentage of invalid votes = 15 %

Total number of invalid votes = (15*15200)/100

⇒ 2280

So, total number invalid votes were 2280

Total number of valid votes = Total votes - total number of invalid votes

⇒ 15200 - 2280

= 12920 votes

So, total number of valid votes were 12920

One candidate got 55 % of the total valid votes.

Number of valid votes he got = (55*12920)/100

⇒ 710600/100
 
= 7106

One candidate got 7106 votes of the total 12920 valid votes.

Then, the number of valid votes the other candidate got = 12920 - 7106

= 5814 votes

So, the other candidate got 5814 valid votes.

Answer.