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 42,680 votes, which was 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.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 7760.
Given:
80% of the voters cast their votes
3% of votes were declared invalid
Winning candidate's votes = 42680 = 55% of the total valid votes
Third candidate votes = 10% of the total valid votes
Calculations:
Let the total number of votes be 1000 units
According to the question;
Total votes casted = 1000 × 80/100 = 800 units
The voters have valid votes = 800 × 97/100 = 776 units
So, 55% of the total valid votes = 42680
⇒ 776 × 55/100 = 42680
⇒ 1 unit = 100 votes
Total valid votes = 776 × 100 = 77600
Hence, the number of valid votes received by the candidate who stood third = 77600 × 10/100 = 7760