Question

A football team has won $10$ games and lost $5$ games. If the team wins the remaining games of the season, it will have won $80$ percent of its games. How many games in total will have been played?

• A. $15$
• B. $20$
• C. $25$
• D. $30$

Answer 1

Answer: (C)

$25$

Let the total no of games played $=x$

Number of lost game $=5$

$\therefore$ Number of win game $=$ $x-5$

Then according to the question:

$\Rightarrow$ $80\%$ of $x=x-5$

$\Rightarrow \frac{80}{100}\times x=x-5$

$\Rightarrow \frac{4}{5}x=x-5$

$\Rightarrow \frac{4}{5}x-x=-5$

$\Rightarrow \frac{-x}{5}=-5$

$\Rightarrow -x=-25$

$\Rightarrow x=25$