Question
Download Solution PDFIn an election between two candidates, 12% of voters did not cast their votes. The winner by obtaining 68% of the total voters defeated his contestant by 2880 votes. What was the total number of voters who cast their votes in the election?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
In an election between two candidates, 12% of voters did not cast their votes.
The winner by obtaining 68% of the total votes defeated his contestant by 2880 votes.
Calculation:
Let total voters be 100a
So, total voters who casted their vote = 88a
Now,
Winner got 100a × 68%
⇒ 68a
So, losing candidate got 88a - 68a
⇒ 20a
According to the question,
68a - 20a = 2880
⇒ 48a = 2880
⇒ a = 60
So, number of voters who casted their votes = 60 × 88
⇒ 5280
∴ The total number of voters who cast their votes in the election was 5280.
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