History, asked by MissVirius, 5 hours ago

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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Answers

Answered by itzheartcracker13
4

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

Answered by MrNulla
1

\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

\longrightarrow8% 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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