SSC CHSL 2024 PYQ — Question 54

SSC CHSL - 03 July 2024 - Shift 3 • Quantitative Aptitude • Q54

In an election between two candidates, 10% of the registered voters did not cast their vote. The winning candidate got 60% of the total votes cast and defeated the other candidate by 1242 votes. Find the total number of registered voters.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 6900.

Let the total number of registered voters be 100x

Total casted votes = 90% of 100x = 90x

Number of votes winning candidate got = 60% of 90x = 54x

Number of votes losing candidate got = 90x - 54x = 36x

According to the question;

⇒ 54x - 36x = 1242

⇒ 18x = 1242

⇒ x = 69

Hence, the total number of registered voters = 100x = 100 × 69 = 6900