Question : In an election between 2 candidates, 5% of the votes were invalid. The winning candidate got 2200 votes and the losing candidate got 1600 votes. The losing candidate got what percentage of the total votes cast?
Option 1: 35%
Option 2: 30%
Option 3: 45%
Option 4: 40%
Correct Answer: 40%
Solution :
The total number of valid votes = 2200 + 1600 = 3800
The total number of votes cast = $\frac{3800}{1 - 0.05}$ = 4000
Percentage $=\frac{\text{Votes by the losing candidate}}{\text{Total votes cast}} \times 100= \frac{1600}{4000} \times 100= 40\%$
Hence, the correct answer is 40%.
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