SSC Selection Post 2024 PYQ — Question 60

SSC Selection Post - Matriculation Level - 20 June 2024 - Shift 4 • Quantitative Aptitude • Q60

In an election between two candidates, 75% of the voters cast their votes, out of which 4% of the votes were declared invalid. A candidate got 9504 votes, which were 80% of the valid votes. Find the total number of votes enrolled in that election.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 16,500.

Let the total number of enrolled votes = x

Cast votes = 343\over4 x

Valid votes = 343\over4 x - 4% of 343\over4 x = 182518\over25x

80% of valid votes = 9504

⇒ 8010080\over100 × 182518\over25x = 9504

⇒ x = 16,500