Question : In an election, a candidate secures 40% of the votes but is defeated by the only other candidate by a majority of 298 votes. Find the total number of votes recorded.
Option 1: 1580
Option 2: 1490
Option 3: 1470
Option 4: 1530
Correct Answer: 1490
Solution :
If one candidate received R% of total votes, the other candidates received (100 – R)% of total votes.
Let the total number of votes recorded be $x$.
60% of the votes went to the winning candidate.
According to the question,
(60 – 40)% of $x$ = 298
⇒ 20% of $x$ = 298
⇒ $\frac{x}{5} = 298$
$\therefore x = 1490$
Hence, the correct answer is 1490.
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