Question : In an election between 2 candidates, the winning candidate got 55% of the valid votes. 5% of the total votes were invalid. If the total number of votes polled was 10000, then how many votes were obtained by the losing candidate?
Option 1: 4425
Option 2: 4625
Option 3: 4550
Option 4: 4275
Correct Answer: 4275
Solution :
Given:
The winning candidate got 55% of the valid votes. 5% of the total votes were invalid.
The total number of votes polled was 10000.
According to the question,
Total number of valid votes
$\Rightarrow 95\%\ {\text {of}}\ 10000= 0.95\times 10000=9500$
Now total votes of the winning candidate
$\Rightarrow 55\%\ {\text {of}}\ 9500= 0.55\times 9500 = 5225$
Now, the total votes of the losing candidate $=9500 - 5225 = 4275$
Hence, the correct answer is 4275.
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