SSC Selection Post 2024 PYQ — Question 54

SSC Selection Post - Matriculation Level - 24 June 2024 - Shift 4 • Quantitative Aptitude • Q54

In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9,261 votes, which were 75% of the total valid votes. Find the total number of votes.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 16,800.

Let the total number of votes = x

Votes cast = 75% of x = 343\over4x

Invalid votes = 2% of votes cast = 1501\over50 × 343\over4x = 32003\over200x

Valid votes = 343\over4x - 32003\over200x = 147200147\over200x

⇒ 9261 = 75% of valid votes

⇒ 9261 = 343\over4 × 147200147\over200x

⇒ x = 16,800