Question

In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?
A) 3241
B) 2457
C) 2642
D) 2834

Answer 1

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Answer 2

Hey mate ^_^

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Answer:
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Let the total number of votes polled in the election be $100k$.

Number of valid votes

$= 100k - 20\%(100k)$

$= 80k$

Let the number of votes polled in favour of K and L be 'a' and 'b' respectively.

$a - b = 15\%(100k)$

$a = b + 15k$

$a + b = b + 15k + b$

Now,

$2b + 15k = 80k$

Hence,

$b = 32.5k$

It is given that,

$100k = 8720$

$32.5k = \frac{32.5k}{100k} \times 8720 = 2834$

The number of valid votes polled in favour of L is 2834.

Therefore,

Correct option D) 2834

#Be Brainly❤️