Question

A football team played $A$ games last year.

They lost $B$ of those games.

What was their winning percentage?

• A. $100\times \frac{B}{A}$
• B. $100\times \frac{A}{B}$
• C. $\frac{A-B}{A}\times 100$
• D. $\frac{B-A}{B}\times 100$
• E. $A-\frac{B\left(100\right)}{10}$

Answer 1

The correct option is C

$\frac{A-B}{A}\times 100$

Determine the winning percentage:

The explanation for the correct option:

Option $\left(C\right)$:

Let $\mathrm{A}$ be the total number of games played last year.

And $\mathrm{B}$ be the number of lost games.

Thus,

$$\begin{gathered} \mathrm{The}\mathrm{number}\mathrm{of}\mathrm{winning}\mathrm{games}=\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{games}\mathrm{played}-\mathrm{number}\mathrm{of}\mathrm{games}\mathrm{lost} \\ =\mathrm{A}-\mathrm{B} \end{gathered}$$

Calculate the winning percentage :

$$\begin{gathered} \mathrm{Winning}\mathrm{percentage}=\mathrm{ratio}\mathrm{of}\mathrm{the}\mathrm{number}\mathrm{of}\mathrm{games}\mathrm{won}\mathrm{by}\mathrm{the}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{game}\mathrm{times}\times 100 \\ =\frac{\mathrm{A}-\mathrm{B}}{\mathrm{A}}\times 100 \end{gathered}$$

So the correct option is Option $C$,

The explanation for the incorrect option:

option $A$, option $B$, and Option $D$ :

Here, the winning percentage is asked to find out.

So no need to find out the other ratios and percentages.

Thus option $A$, Option $B$, and Option $D$ is incorrect options

Therefore, the option $\mathrm{C}$ is the correct answer.