Question

$\frac{2}{5}$ of the voters promise to vote for $P$ and the rest promised to vote for $Q$. Of these on the last day $25$ $\%$ of the voters went back on their promise to vote for $P$ and $15$ $\%$ of the voters went back on their promise to vote for $Q$ and reserved their votes. $Q$ lost by $44$ votes. The total number of votes is

• A. $200$
• B. $210$
• C. $220$
• D. $110$

Answer 1

The correct option is A $200$

Let the total number of voters be $500x$

Given that,

$200x$ voters promise to vote for $P$

$300x$ voters promise to vote for $Q$

Total number of votes $P$ gets $=200x-\frac{25}{100}\times 200x+\frac{15}{100}\times 300x=195x$

Total number of votes $Q$ gets $=500x-195x=305x$

$Q$ wins by $44$ votes

$\therefore 110x=44$

$x=0.4$

$\Rightarrow$ Total number of voters $=500\times 0.4=200$

Correction : $Q$ wins by $44$ votes, question wrongly says that $Q$ lost.