Question

In an election between two candidates, the candidate who gets 30% of the votes is defeated by 8,000 votes. Find the number of votes for the winning candidate.

• A. 14,000
• B. 6,000
• C. 20,000
• D. 22,000

Answer 1

The correct option is A 14,000

Assume total $x$ number of people voted in the election.

As given losing candidate got 30% votes.
$⟹$wining candidate will get 70% votes.

$⟹$ Number of votes that losing candidate got $=30\%\text{of}x=x\times \frac{30}{100}=\frac{3x}{10}$
And,
Number of votes that winning candidate got $=70\%\text{of}x=x\times \frac{70}{100}=\frac{7x}{10}$

As given difference of their votes are 8,000.
$⟹\frac{7x}{10}-\frac{3x}{10}=8000⟹\frac{4x}{10}=8000⟹x=20000$

Now as we already find out votes of winning candidate is $\frac{7x}{10}.$
$⟹\frac{7\times 20000}{10}=14000$

Hence, option 'a' is correct.