Question

) At an election between two candidates 53 votes were declared invalid .

The winning candidate secures 58% of the valid votes and wins by 588 votes

.Find the total number of votes polled.​

Answer 1

Answer:

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Answer 2

Answer:

Let the total number of valid votes be ${x}$

Percentage of valid votes secured by winning candidates = 58%

Percentage of the valid votes secured by defeated candidate = (100 - 58)% = 42%

Difference between their votes = 588

(58% of x) - (42% of x) = 588

$\large(\frac{58}{100} \times x) - (\frac{42}{100} \times x) = 588$

$\large(\frac{58x}{100} - \frac{42}{100}) = 588$

$\large(\frac{58x - 42x}{100}) = 588$

$\large16x = 588 \times 100$

$\large \: x = \frac{588 \times 100}{16}$

$x = 3675$

Number of valid votes = 3675

Number of in valid votes = 53

The total number of votes polled = (3675 + 53) = 3728