Question

In an election, there are two candidates, $A$ and $B$ and total of 1,10,000 voters . $75\%$ of the voters go to the polls, out of which, $55\%$ vote for $A$. How many votes does candidate $B$ get?

• A. 33,000
• B. 37,125
• C. 41,250
• D. 45,375

Answer 1

The correct option is B 37,125

Total votes = 1,10,000
Polled votes $=75\%$
Let ${}^{\prime }{p}^{\prime }$ represents the $75\%$ of total votes.
$\frac{P}{110000}=\frac{75}{100}$
$\therefore P=\frac{75\times 110000}{100}=82500\text{votes}$
Votes obtained by candidate $A=55\%$ of 82,500 votes
Then votes obtained by candidate $B\left(V_B\right)=(100-55)\%$ of 82,500 $=45\%$ of 82,500
$\frac{V_B}{82500}=\frac{45}{100}$
$V_B=\frac{45\times 82500}{100}=37,125\text{votes}$