Question

10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was






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Answer 1

Explanation:

Let the total number of voters be x.

As 10% of the voters did not cast their votes

Then, Votes polled =90% of x.

10% of the votes polled were found invalid

Valid votes =90% of (90% of x).

54% of [90% of (90% of x)]−46% of [90% of (90% of x)]=1620

=>8% of [90% of (90% of x)]=1620

$\frac{8}{100} \times \frac{90}{100} \times \frac{90}{100} \times x = 1620$

$\frac{1620 \times 100 \times 100 \times 100}{8 \times 90 \times 90} \: = 25000$

Answer 2

$\huge\bf\green{Answer➜25,000}$

Explanation:

Let the total number of voters be x.

As 10% of the voters did not cast their votes.

Then, Votes polled =90% of x.

10% of the votes polled were found invalid.

Valid votes =90% of (90% of x).

54% of [90% of (90% of x)]−46% of [90% of (90% of x)]=1620

$\longrightarrow$8% of [90% of (90% of x)]=1620

$\large \rightarrow\frac{100}{8}×\frac{90}{100}×\frac{90}{100}× x=1620$

$\large\rightarrow x=( \frac{1620×100×100×100}{8×90×90})=25000$

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