Question : In an election between two candidates, a candidate who gets 76% of the total votes polled is elected by a majority of 1480 votes. What is the total number of votes polled? (Consider integral part only)
Option 1: 2800
Option 2: 1800
Option 3: 2846
Option 4: 1846
Correct Answer: 2846
Solution :
Votes secured by the first candidate = 76% of the total number of votes
Votes secured by the second candidate = (100 – 76)% = 24% of the total number of votes
Majority = (76 – 24) = 52% of the total number of votes
So, 52% of the total number of votes = 1480 votes
Therefore, the total number of votes = $\frac{1480 × 100}{52}$ = 2846.15 $\approx$ 2846
Hence, the correct answer is 2846.
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