In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid vote. Find the total number of voters.
- AOption (a)
15800
- BOption (b)
16800
- COption (c)
15700
- DOption (d)
16700
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Correct answer
16800
Why this answer is correct
Given:
Percentage of voters cast their vote = 75%
Invalid vote percentage = 2%
Candidate got votes 75% of valid votes = 9261
Calculation:
Let us take the total number of voters be x
casted vote % = 75% of x
valid casted vote = 98% of 75% of x
⇒ 75% of total valid vote = 75% of 98% of 75% of x
⇒ 9261 = 3/4 × 3/4 × 98/100 × x
⇒ x = (1029 × 16 × 100)/98
⇒ x = 16800
∴ The total number of voters will 16800