In an election between two candidates, the candidate who gets $30 %$ of the votes polled is defeated by $16000$ votes. What is the total number of votes polled?

40000

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45000

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50000

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None of these

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Solution

The correct option is A $40000$
Let the total number of votes polled $= x$ .
Then, $30 %$ of $x + 16000 = 70 %$ of $x$
$\Rightarrow 40 %$ of $x = 16000$
$\Rightarrow x = \frac{16000 \times 100}{40} = 40000$

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In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 16000 votes. What is the total number of votes polled?

The correct option is A 40000Let the total number of votes polled =x. Then, 30% of x+16000=70% of x ⇒40% of x=16000⇒x=16000×10040=40000

In an election between two candidates, the candidate who gets $30 %$ of the votes polled is defeated by $16000$ votes. What is the total number of votes polled?

The correct option is A $40000$
Let the total number of votes polled $= x$ .
Then, $30 %$ of $x + 16000 = 70 %$ of $x$
$\Rightarrow 40 %$ of $x = 16000$
$\Rightarrow x = \frac{16000 \times 100}{40} = 40000$