We are given a selling price of $365 and a purchase cost of $240, we are asked to find the markup. The formula for calculating the mark up is the following:
![\text{markup}=\frac{sale\text{ price-cost}}{\cos t}](https://img.qammunity.org/2023/formulas/mathematics/college/sndfga7fnhq4r8tg7b3mdl8beli4rn4s95.png)
we have that the sale price is 365 and the cost is 240. Replacing in the formula:
![\text{markup}=(365-240)/(240)](https://img.qammunity.org/2023/formulas/mathematics/college/40wgz8u6z5n2lg01j6sutyttjbmdcbsotx.png)
solving the operations we get:
![\text{markup}=(125)/(240)=0.52](https://img.qammunity.org/2023/formulas/mathematics/college/70n17y0hwjoic7j2td0nx2fjjylikol1mr.png)
This can be expressed as a percentage like this:
![\text{markup}=52\text{ percent}](https://img.qammunity.org/2023/formulas/mathematics/college/v7zizhg85gx4toxjm39hypdxz7xt9ad4t6.png)
the markup is 52%