Let the cost of the purse be x,
6 % of x = 15
[tex]\begin{gathered} \frac{6}{100}\text{ }\times\text{ x = 15} \\ \frac{6x}{100}\text{ =15} \\ \text{cross}-\text{ multiply} \\ 6x\text{ = 15 x 100 = 1500} \\ x\text{ = 1500/ 6} \\ x\text{ = \$ 250 } \end{gathered}[/tex]