Question

EXAMPLE 1 In an election between two candidates, the candidate
who got 57% valid votes won by a majority of 420 votes. Find the
total no. of valid votes.
SOLUTION
Winner
0.57%
Loser
0.43x
[100 - 57 = 43]
[57 - 43 = 14
0.14x
0.14 x = 420
x = 3000
Hence total valid votes = 3000
​

Answer 1

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Answer 2

Answer:

The total no. of valid votes is 3000.

Step-by-step explanation:

According to question , in an election between two candidates, the candidate who got 57% valid votes won by a majority of 420 votes.

We need to find total number of valid votes.

Let there are $x$ number of valid votes.

Winner candidate gets $x*\frac{57}{100}$ votes.

Loser candidate gets $x*\frac{43}{100}$ votes.

According to question

$x * ( \frac{57}{100} - \frac{43}{100} ) = 420\\\\or , x = 3000$

The total no. of valid votes is 3000.

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