Question

Please help.
In an election between two candidates, one
candidate secured 47% of votes polled and
lost the election by 12,366 votes. Find the total
votes polled and the votes secured by the
winning candidate.​

Answer 1

Answer :-

The total number of votes polled is 205600 and the votes secured by the winning candidate is 108968 respectively.

Explanation :-

Given :

• Percentage of votes of the loosing candidate - 47%
• Lost the election by - 12,336

To find :

• The total no. of votes polled
• The votes secured by the winning candidate

Solution :

Percentage of votes for the winning candidates => (100 - 47)% = 57%

Difference in the percentage of votes => (53 - 47)% = 6%

Difference in no. of votes = 12336

Let the total no. of votes be x

According to question,

$= > 6\% \: of \: x \: = 12336$

$= > \dfrac{6}{100} \times x = 12336$

$= > \dfrac{6x}{100} = 12336$

$= > x = \dfrac{12336 \times 100}{6}$

$= > x = 205600$

Hence the total no. of votes polled is 205600

Therefore, No. of votes for the winning candidate :-

$= 53\% \: of \: 205600$

$= \dfrac{53}{100} \times 205600$

$= 108968$

Hence, the number of votes secured by the winning candidate is 108968

Answer 2

Answer :

The total number of votes polled is

205600 and the votes secured by winning candidate is 108968 respectively .

Explanation :

Percentage of vote is of the loosening Candidate =47% .

lost the election by = 12,336