10 Views

Question : In an election between two candidates, 85% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 6,936 votes which was 85% of the valid votes. Find the total number of voters enrolled in that election.

Option 1: 10,500

Option 2: 10,800

Option 3: 10,000

Option 4: 10,700


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 17th Jan, 2024

Correct Answer: 10,000


Solution : Let the number of voters enrolled be $x$.
Given votes = 85% of $x$ = $\frac{17x}{20}$
Valid votes = 100 – 4 = 96% of $\frac{17x}{20}$ = $\frac{24}{25}×\frac{17x}{20}=\frac{102x}{125}$
The winner gets 85% of valid votes.
So, 85% of $\frac{102x}{125}=6936$
$⇒\frac{17}{20}×\frac{102x}{125}=6936$
$\therefore x =10000$
Hence, the correct answer is 10,000.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books