Question

5000 voted in an election between two candidates.14% of the votes were invalid. The winner won by a margin approximately closer to 15%.Find the number of votes secured by the person

Answer 1

Answer:

The winning person gain the votes = 2525

Step-by-step explanation:

Since

Total number of voters = 100 %

Invalid voters = 14 %

Valid voters = 100 % - 14 % = 86 %

The person won by margin of 15 % votes this implies that

Voters of the person is 15 %  more then the opponent person

Let

The votes percentage of person = x % of valid votes

Then votes percentage of other person = (x - 15)% of valid votes

And

Sum of their votes = x + x -15 = 86

              ⇒       2x  = 86 + 15 = 101

              ⇒          x = 50.5 %

And votes of other person = 50.5 - 15 = 35.5 %

And

50.5 % of 5000 voters = 50.5(5000/100) = 2525 voter

Thus

The winning person gain the votes = 2525