SSC CPO 2024 PYQ — Question 121

The correct answer is option 4 i.e. 53,000.

Let's denote the total number of votes polled by $x$ .

In the election, one candidate gets 35% of the total votes, and the other candidate, therefore, gets  100% - 35% = 65%  of the total votes.

The candidate with 65% of the votes wins by a margin of 15,900 votes. This means the difference between the number of votes received by the two candidates is 15,900.

The difference between the votes received by the two candidates is:

 ⇒ $65\% \text{ of } x - 35\% \text{ of } x = 15,900$

⇒ $(65\% - 35\%) \text{ of } x = 15,900$

⇒ $30\% \text{ of } x = 15,900$

⇒ $\frac{30}{100} \times x = 15,900$

⇒​​​​​​​ $x = \frac{15,900 \times 100}{30}$
⇒ ​​​​$x = 53,000$

The total number of votes polled is 53,000.