Question : Rajat, Pooja, and Abha participate in the election. If the total votes polled are 40,000 and 10% of votes are invalid, Rajat got 36% of valid votes and Pooja got 40% of valid votes, then find the number of votes Abha got.
Option 1: 9245
Option 2: 1024
Option 3: 8640
Option 4: 5760
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Correct Answer: 8640
Solution :
Total votes = 40000
Invalid votes = 10%
Valid votes = 90% = $\frac{90}{100}\times40000=36000$
Now, the votes of Rajat = 36%
Votes of Pooja = 40%
$\therefore$ Votes of Abha = 100 – 36 – 40 = 24% of valid votes = $\frac{24}{100}\times 36000=8640$
Hence, the correct answer is 8640.
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