Question

Profit earned $“p”$ by selling shoes is proportional to the number of pairs sold $“n”$. If the profit earned by selling $126$ pairs is $\$630$, then find the equation representing the relation between $“p”$ and $“n”$.

• A. $p=25n$
• B. $p=5n$
• C. $n=5p$
• D. $p=\frac{1}{2}n$

Answer 1

The correct option is B $p=5n$

Since the profit earned is proportional to the number of pairs sold, $\frac{p}{n}$ is alway constant.
For $p=630$, we have $n=126$.
Hence, $\frac{p}{n}=\frac{630}{126}=5$
Therefore, the equation is:
$p=5n$