Answer :
Explanation :
let the total number of votes polled be 'x'.
atq,
given that the eligible voters were 1lakh in number thus,the %age of voters who didn't vote would be
thus, 10% voters didn't vote.
Answer:
Total number of votes polled = 90,000
Percentage of voters that did not vote = 10%
Step-by-step explanation:
Let V be the total number of votes polled.
According to the given information, the loser polled 42% of the votes, so:
[tex]\textsf{Votes winner polled}=100\% - 42\% = 58\%[/tex]
The difference in the percentage of votes between the winner and loser is:
[tex]\textsf{Difference}=58\% - 42\% = 16\%[/tex]
We know that this 16% difference corresponds to 14,400 votes. Therefore, we can set the following equation and solve for V:
[tex]16\% \; \textsf{of}\; V = 14400\\\\\\0.16 \times V=14400\\\\\\V=\dfrac{14400}{0.16}\\\\\\V=90000[/tex]
So, the total number of votes polled was 90,000.
[tex]\dotfill[/tex]
A lakh is a unit in the Indian numbering system equal to 100,000. Therefore, if the total number of eligible voters was 1 lakh, it means the total number of eligible voters was 100,000.
To find the percentage of voters who did not vote, subtract the total votes (90,000) from the total number of eligible voters (100,000) and express it as a percentage:
[tex]\textsf{Percentage of voters who did not vote} = \left(1 - \dfrac{90000}{100000}\right) \times 100\% \\\\\\ \textsf{Percentage of voters who did not vote} = \left(1 - 0.9\right) \times 100\% \\\\\\ \textsf{Percentage of voters who did not vote} = 0.1 \times 100\% \\\\\\ \textsf{Percentage of voters who did not vote} = 10\%[/tex]
Therefore, 10% of voters did not vote in the contest.
