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
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.
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates BrochureYour Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.