Question
Download Solution PDFIn 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
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