Question : In an election between three candidates, Arjun, Bhaskar, and Saral contested for a post. Arjun got 50% more votes than Saral and Saral got 2% fewer votes than Bhaskar. The difference between the votes won by Bhaskar and Saral is 1296. What is the half of the difference between the votes won by Arjun and Bhaskar?
Option 1: 3888
Option 2: 13988
Option 3: 7766
Option 4: 15228
Correct Answer: 15228
Solution :
Let the number of votes Bhaskar wins be x
Saral's votes = 98% of x
Arjun's votes = 150% of 98% of x
Given: The difference between the votes won by Bhaskar and Saral is 1296.
⇒ 2% of x = 1296
⇒ x = 64800
Bhaskar's votes = 64800
Saral's votes = $\frac{98}{100}$ × 64800 = 63504
Arjun's votes = $\frac{150}{100}$ × 63504 = 95256
$\therefore$ The half of the difference between Arjun and Bhaskar's votes = $\frac{95256–64800}{2}$
= $\frac{30456}{2}$ = 15228
Hence, the correct answer is 15228.
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