Question

In an election between two candidates, 80% of the voters cast their votes, out of which 5% votes were declared invalid. A candidate got 13680 votes which were 60% of the valid votes. Then, what is the total number of voters enrolled in that election?

• A. 32,000
• B. 30,000
• C. 28,000
• D. 35,000

Answer 1

Answer:

B. 30,000

60% of valid votes = 13680

Total number of voters enrolled in that election was 100x.

voters cast their votes = 80x

Number of valid votes = 95% of 80x = 76x

60% of 76x = 13680

⇒ 228x / 5 = 13680

⇒ x / 5 = 60

⇒ x = 300

The total number of votes enrolled in that election was 100x = 30,000
Alternate method

Invalid votes = 0.05 × 0.8x = 0.04x

Valid votes = 0.8x - 0.04x = 0.76x

According to question

13680 = 0.76x × 0.6

⇒ x = 30000