Question Details

In an election, A received 27% of the votes and B received 125,982 votes. 19% did not cast their votes. Find the number of votes received by A.

Options

A

1,88,973

B

62,991

C

57,827

D

44,327

Show Answer

Correct Answer :

Option B

62,991

Solution :

The correct answer is 62,991.

Let the total number of registered voters in the election be represented by x.
From the given information:
1. 19% of the registered voters did not cast their votes. Therefore, the percentage of voters who did cast their votes is:
100%-19%=81%
This means the total votes cast is 0.81x.

2. A received 27% of the total registered votes. So, the number of votes received by A is:
VA=0.27x

3. The remaining cast votes were received by B. Therefore, the percentage of total votes received by B is:
81%-27%=54%
So, the number of votes received by B is:
VB=0.54x

We are given that B received 125,982 votes. We can write this as an equation:
0.54x=125,982
Solving for x:
x=125,9820.54
x=233,300

Now, we can find the number of votes received by A:
VA=0.27×233,300
VA=62,991

Thus, the number of votes received by A is 62,991.

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