Question

Answer the questions based on the given information. In an election, there were only 2 candidates. The losing candidate received $66\frac{2}{3}$% of the votes the winner got. If the votes polled in loser were 60 less than that of winner, then how many votes did the loser get?

• A. 200
• B. 150
• C. 120
• D. 160

Answer 1

The correct option is C 120

Let winner get $x$ votes
Then looser get $x-60$

Losing candidate received $66\frac{2}{3}\%\times x$
According to the question
$x\times \frac{200}{3}\times \frac{1}{100}=x-60$
$200x=300x-18000$
$-100x=-18000$
$x=180$

Hence winner get $180$ votes
Looser get $180-60=120$ votes