Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

In an election between two candidates, 85% of the voters cast their votes, out which 4% of the votes were declared invalid. A candidate got 6936 votes which were 85% of the valid votes. Find the total number of voters enrolled in that election.

Options:

10,500

10,800

10,000

10,700

Correct Answer:

10,000

Explanation:

According to question ,

85% of valid votes = 6936

Total number of valid votes = \(\frac{6936}{85}\)× 100 = 8160

Let total number of Cast votes = 100x

Valid votes = 96% of 100x = 96x

And 96x = 81600

100x = \(\frac{8160}{96}\)× 100

= 8500

Now , Total cast votes = 85% of Total Number of Votes

As 85% of total votes = 8500

100% of total votes = \(\frac{8500}{85}\)× 100 

= 10000