Question

An art dealer makes a 17.5% commission on every painting sold. if a painting sold for $ 1, 500 what was the commission ?

Answer 1

From the given information, we can establish the following rule of three:

`\begin{gathered} \text{ \$1500 -------- 100 \%} \\ \text{ x -------- 17.5 \%} \end{gathered}`

where x is the corresponding money to 17.5%.

Then, by cross multiplying these quantities, we have

`\text{ 100\% }* x=\text{ \$1500}*\text{ 17.5 \%}`

and by dividing both sides by 100%, we have

`\begin{gathered} x=\frac{\text{\$1500}*\text{ 17.5 \%}}{\text{ 100\%}} \\ x=\text{ \$262.50} \end{gathered}`

Therefore, the comission corrresponding to 17.5% is $ 262.50