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?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 3)

Answer 1

Given:

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

The difference between the votes of Bhaskar and Saral = 1296

Formula used:

Percentage = (Part / Whole) × 100

Solution:

Let the total number of votes Bhaskar got be 100x.

The votes received by Saral = 100x - 2% of 100x

⇒ 98x

The votes received by Arjun = 98x + 50% of 98x

⇒ 147x

The difference between the votes of Bhaskar and Saral = 1296

⇒ 100x - 98x = 1296

⇒ x = 1296/2

⇒ x = 648

The difference between the votes of Bhaskar and Arjun = 147x - 100x

⇒ 47x

Half of the difference between the votes of Arjun and Bhaskar = 47x/2

⇒ x → 648

⇒ 47x/2 → 648 × 47/2

⇒ 47x/2 → 324 × 47

⇒ 47x/2 → 15228

Half of the difference between the votes of Arjun and Bhaskar is 15228.