In an election 4% of the votes cast are invalid. A candidate gets 55% of the valid votes and wins the election by 480 votes. Find the total number of voters who voted (i.e., the number of votes cast). (There are only two candidates)
Explanation:
Let the number of votes cast = v
∴ Valid votes = 0.96v
Winner gets 480 votes more than the other candidate.
⇒ 0.55 × 0.96v = 0.45 × 0.96v + 480
⇒ 0.096v = 480
⇒ v = 5000
Hence, option (a).
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