In an election,a candidate got82% votes . He won the election beating his rival candidate by 576 votes . How many votes were polled?
Answers
Answer:
900 votes were polled.
Step-by-step explanation:
Let x be the total number of votes polled.
Winning candidate got 82% of the total votes
=> No. of votes got by the winning candidate = 82% of x = 0.82*x
Assuming that there were no invalid votes,
The losing candidate got 18% of the total votes = 18% of x = 0.18*x
(∵ 100 - 82 = 18)
According to the question,
Winning candidate beat his rival candidate by 576 votes
=> No. of votes of winning candidate = 576 + No. of votes of rival candidate
=> 0.82*x = 576 + 0.18*x
=> 0.82*x - 0.18*x = 576
=> 0.64*x = 576
=> x = (576/0.64)
=> x = 900
The total number of votes polled = 900
No. of votes of winning candidate = 0.82*900 = 738
No. of votes of losing candidate = 0.18*900 = 162
Margin of victory for winning candidate = 738 - 162 = 576 √
(Thus, verified)