Question : In a village election between three candidates, 80% of the voters cast their votes, out of which 3% votes were declared invalid. The winning candidate got 42680 votes which were 55% of the total valid votes. Find the number of valid votes received by the candidate who stood third, given that he received only 10% of the total valid votes.
Option 1: 7760
Option 2: 7700
Option 3: 7670
Option 4: 7680
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Correct Answer: 7760
Solution :
The winning candidate got 42680 votes, which was 55% of the total valid votes.
The total valid votes = $\frac{42680}{0.55}$ = 77600 votes
The candidate who stood third received only 10% of the total valid votes.
The number of valid votes received by the third candidate = 77600 × 0.10 = 7760 votes
Hence, the correct answer is 7760.
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