Question : In an election, a candidate who got 73% of the votes is elected by a majority of 1426 votes. If 20% of votes are invalid, then what is the total number of votes polled?
Option 1: 1878
Option 2: 4824
Option 3: 2865
Option 4: 3875
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Correct Answer: 3875
Solution :
Let the total votes be 100.
Invalid votes = 20%
Valid votes = 80%
Total votes got by winning candidate = 73% of valid votes = $73\times\frac{80}{100}=58.4$
Total votes got by losing candidate = 27% of valid votes = $27\times\frac{80}{100}=21.6$
Difference = 58.4 – 21.6 = 36.8
Given the difference in votes is 1426.
So, Total polled vote = $ \frac{100}{36.8}×1426= 3875$
Hence, the correct answer is 3875.
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