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1.
In an election a candidate who gets 84% of the votes is elected by a majority of 476 votes. What is the total number of votes polled ?
- A. 672
- B. 672
- C. 672
- D. 672
Answer: Option B
Explanation:
GIVEN: A candidate who gets 84% of the votes is elected by a majority of 476 votes.
Let the total number of votes polled be 'x'
Number of votes in favour of the candidate is = 84% of x
= 84x/100
Number of votes got by the losing candidate = x−84x/100
= (100x - 84x)/100 = 16x/100
Number of extra votes in favor of winning candidate = 84x/100−16x/100
476 = 68x/100
x = (476 × 100 )/ 68
x = 7 × 100
x = 700
Hence,the total number of votes polled are 700 .
Let the total number of votes polled be 'x'
Number of votes in favour of the candidate is = 84% of x
= 84x/100
Number of votes got by the losing candidate = x−84x/100
= (100x - 84x)/100 = 16x/100
Number of extra votes in favor of winning candidate = 84x/100−16x/100
476 = 68x/100
x = (476 × 100 )/ 68
x = 7 × 100
x = 700
Hence,the total number of votes polled are 700 .
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