Question

In a college election between two rivals, a candidate A got $40\%$ of the total votes polled.He was defeated by his rival by $160$ votes. The total number of votes polled was ______

• A. $900$
• B. $800$
• C. $700$
• D. $600$

Answer 1

Answer: (B)

$800$

Since A got $40\%$ of votes. So, it is clear that his rival must have got 60% of votes. So, A lost by $(60-40)=20\%$ of votes.

Let, total votes be $x$ .

Now according to question,

$20\%$ of $x$ $=160$

$\frac{20}{100}\times x=160x=800$

So, correct answer is option option B.