Question 4

Past Exam Questions 2016 0

Question 4: One had 55% of the total valid votes in an election between two candidates. 20 percent of the votes were invalid. If the total number of votes were 75000, the other candidate’s number of valid votes was;

a. 2700 b. 2100 c. 2800

FPSC AD IB 2nd batch 2017

Solution:

We are given that;

$Total Votes =7500$

$Invalid Votes =20% Of 7500$

$\Rightarrow Invalid Votes = \frac{20}{100} \times 7500$

$\Rightarrow Invalid Votes =1500$

$\Rightarrow Valid Votes =7500-1500=6000$

So, the valid votes were 6000.

Let there be two candidates A and B. Suppose A gets 55% of valid votes i-e;

$A's Votes =55% of 6000$

$\Rightarrow A's Votes =\frac{55}{100}\times 6000$

$\Rightarrow A's Votes =3300$

So, A got 3300 of valid votes, remaining votes will have gone to candidate B;

$\Rightarrow B's Votes =6000-3300=2700$

So, the other candidate (B) got 2700 votes

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