SSC CGL 2023 PYQ — Question 55

SSC CGL - 14 July 2023 - Shift 3 • Quantitative Aptitude • Q55

In an election between three candidates, Arjun, Bhaskar and Saral contested for a post. Arjun got 50% votes more than Saral, and Saral got 2% votes less than Bhaskar. The difference between the votes of Bhaskar and Saral is 1296. What is the half of the difference between the votes of Arjun and Bhaskar?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 15228.

Given:

Arjun got 50% more votes than Saral, and Saral got 2% fewer votes than Bhaskar

The difference between the votes of Bhaskar and Saral is 1296

Calculations:

Let the number of votes of Bhaskar be 100x

So, the number of votes of Saral is 98x

Votes of Arjun = 98x + 98x/2 = 147x

According to the question;

⇒ 100x - 98x = 1296

⇒ 2x = 1296

⇒ x = 648

Now, the difference between Arjun's votes and Bhaskar's votes = 147x - 100x

⇒ 47x = 47 × 648 = 30456

Hence, the required value = 30456/2 = 15228