Question

5000 voted in an election between two candidates.14% of the votes were invalid.the winner won by a margin approximately closer to 15%.find the number of votes secured by the person

Answer 1

so basically only 4300 people's votes were considered 
the winner got 57.5%  and the other person got 42.5%
so 57.5% of 4300 is 2472.5 
round it of to 2472

Answer 2

Answer:

The number of votes secured by the person is 2472.

Step-by-step explanation:

Given : 5000 voted in an election between two candidates. 14% of the votes were invalid. The winner won by a margin approximately closer to 15%.

To find : The number of votes secured by the person?

Solution :

Total votes = 5000

Invalid votes are 14% i.e.

$I=14%\text{ of } 5000$

$I=\frac{14}{100}\times5000$

$I=700$

Valid votes = Total - Invalid

Valid votes = 5000-700

Valid votes V=4300

We assume that the looser got y votes and winner got x votes.

According to question,

$x+y=4300$ .....(1)

and $x-y=15\%\text{ of } 4300$

$x-y=\frac{15}{100}\times4300$

$x-y=645$ .....(2)

Solving (1) and (2) by adding them,

$x+y+x-y=4300+645$

$2x=4945$

$x=\frac{4945}{2}$

$x=2472.5$

Substitute in (1),

$x+y=4300$

$2472.5+y=4300$

$y=1827.5$

Therefore, The number of votes secured by the person is 2472.