Question

two candidates contsested an election. one candidate got 30% of the vote and lost by 500 votes. the total numbers of votes cast is?
plz answer quick I'll mark s brainlieast and follow you if you answer in full method​

Answer 1

The total number of votes casted is 1250.

Step-by-step explanation:

Let the total number of votes casted is x

Then the candidate one who lost the vote, got

= 30x/100 = 3x/10 votes

and the candidate who won the vote, got

= (3x/10 + 500) votes

Then,

3x/10 + (3x/10 + 500) = x

or, 3x/10 + 3x/10 + 500 = x

or, 6x/10 + 500 = x

or, x - 6x/10 = 500

or, (10x - 6x)/10 = 500

or, 4x = 5000

or, x = 1250

∴ the total number of votes casted is 1250

Answer 2

The answer to the above question is 1250 votes.

Let the total number of votes cast be x

then votes losing candidate got  $\frac{30x}{100}$

Percentage of votes winning candidate got = 70%

Votes winning candidate got = $\frac{70x}{100}$

Difference between votes = 500

$\frac{70x}{100}$ - $\frac{30x}{100}$ = 500

$\frac{40x}{100}$ = 500

x = $\frac{100*500}{40}$

x = 1250

The total number of votes cast was 1250