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In an election two candidates A and B participate, 15% voters did not cast their votes and 380 votes are invalid. If A wins the election by 800 votes and gets 50% of the total votes to the voters whose names are in the voter list, then find the number of votes obtained by B in this election.

In an election two candidates A and B participate, 15% voters did not cast their votes and 380 votes are invalid. If A wins the election by 800 votes and gets 50% of the total votes to the voters whose names are in the voter list, then find the number of votes obtained by B in this election. Correct Answer 600

Given:

15% voters did not cast their votes

380 votes are invalid

A wins the election by 800 votes

A wins the election and gets 50% of the total votes of the voters whose names are in the voter list

Calculation:

Let the total number of voters be x

According to question,

15% voters did not cast their votes

So, number of voters who participate in election = 85% of x = 17x/20

And also it is given that 380 votes are invalid

So, number of valid votes = {(17x/20) – 380}

Since, A gets 50% of total votes = x/2

So, votes get by B = (x/2 – 800)

Now, we know that sum of votes obtained by A and B = total number of valid votes

x/2 + (x/2 – 800) = {(17x/20) – 380}

⇒ x – 800 = 17x/20 – 380

⇒ x – 17x/20 = 800 – 380

⇒ 3x/20 = 420

So, x = 2800

So, the number of votes obtained by B = (2800/2 – 800)

∴ 600

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