[Math] Computing the rate of commission

word problem

Benyamin receives 45% of the commission on every painting he sells. If he recently sold a painting of \$256,000 and received a commission of \$7,488, what was the total rate of commission?

I am not getting what exactly is being asked since we do not know the total number of painting?

My Try:

Let $x$ be the total commission.
then $(0.45)x=\$7488$ and so $x=\$16640$.
Now we have got total commission; how to proceed?

Best Answer

Let $A$ denote the sales price, $B$ denote the commission, and $C$ denote Benyamin's share of that commission.

We have $C=0.45B$ and $B=xA$, where $x$ is what we want to learn. We also know $A=256000$ and $C=7488$.

Can you finish from here?

Related Question