Question

In an election a candidate who obtained 7650 gotes lost by a margin of 10% of total votes.Find the total number of the votes?

Answer 1

let x be number of total votes

margin =10% of x=

$\frac{x}{10}$

winner votes

$= 7650 + \frac{x}{10}$

$hence \\ 7650 + (7650 + \frac{x}{10} ) = x$

$15300 = \frac{9x}{10}$

$x = 17000$

Answer 2

The total number of the votes are 8500

Step-by-step explanation:

Let the total number of votes be x

We are given that a candidate who obtained 7650 gotes lost by a margin of 10% of total votes.

So, $7650+10\% \times x = x$

$7650+0.1 x = x$

7650=x-0.1x

7650=0.9x

$\frac{7650}{0.9}=x$

8500=x

Hence  the total number of the votes are 8500

#Learn more:

In an election a candidate secures 45% votes and is defeated by the other candidate by the margin of 350 votes.find the total votes​

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