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In an election between two candidates, the first candidate gets $80 %$ of the total valid votes. If $10 %$ of the total $1, 80, 000$ votes were declared invalid then the number of valid votes polled in favour of second candidates are:

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31400

31500

32400

32420

answer is C.

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Detailed Solution

We have given,

10 %

of total votes declared invalid.
∴ No. of valid votes are

= 90 % of total

\Rightarrow 180000 \times \frac{90}{100}

\Rightarrow 18000 \times 9

\Rightarrow 162000

Given

\Rightarrow 80 %

of total votes get the first candidate

\Rightarrow 162000 \times \frac{80}{100}

\Rightarrow 129600

∴ No. of votes polled in favour of second candidates -

\Rightarrow 162000 - 129600

\Rightarrow 32400

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