Question

In an election, three candidates contested and secured 29200, 58800 and 72000 votes. Find the percentage of votes scored by the winning candidate.

Answer 1

Hint:First we have to identify the large number of votes, because if any candidate has the greatest number of votes then he will be the winner, after that find the sum of all votes and use the concept of percentage.

Complete step-by-step answer:
Given: Three candidates are in the election and secured the votes 29200, 58800 and 72000.
Now we have to identify the highest number of votes, if votes are highest then the candidate will be the winner who secured the highest number of votes, that is 72000.
Thus, the candidate who secures 72000 votes will be the winner.
Now, find the sum of all the votes by adding 29200, 58800 and 72000.
Thus,\[29200 + 58800{\text{ + }}72000 = 160000\]
Thus, the total number of votes is 160000.
Now to find the percentage, find the ratio of the winner votes by total number of votes and then multiply the result by 100.
That is,
\[\dfrac{{72000}}{{29200 + 58800{\text{ + }}72000}} = \dfrac{{72000}}{{160000}}\]
Now, multiply the result with 100.
\[
  \dfrac{{72000}}{{160000}} \times 100 = \dfrac{{72000}}{{1600}} \\
   = 45 \\
\]
Apply percentage sign on the resulting number, that is, \[45\% \].
Thus, the percentage of votes scored by the winning candidate is \[45\% \].

Note:
Always keep the required number in the numerator and sum in the denominator, if we have to find the percentage of votes scored by losing candidates then we will keep the lowest number of votes in the numerator instead of the highest number of votes. But the denominator will always be the same, that is, the sum of all numbers of votes.