a) 12000

b) 16000

c) 18850

d) 20000

Correct answer is: b) 16000

#### Explanation

Let, The total number of votes 'x' .

Given that 15\% of voters did not vote.

\therefore The number of votes cast = 85\% of 'x' , which is :

\rightarrow\left(x\times\large\frac{85}{100}\right)

\therefore 0.85x .*According to the question,*

The winning candidate received 62.5\% votes and won by 3400 votes.

\therefore The candidate who lost got \left(100\%-62.5\%\right)=37.5\% votes.*Thus,* (62.5 - 37.5)\% of 0.85x = 3400 .*Therefore,* \large\frac{25}{100} \times \large\frac{85x}{100}\normalsize = 3400 .*So,* x=\left(3400\times\large\frac{100}{25}\times\large\frac{100}{85}\right) .*Hence,* x = 16000 .**Ans:** The total number of votes is 16000.