Given,
Sales tax rate=5%
Sales tax on bike=$7
Now, we will find purchase price.
Let purchase price = x
We know given sales tax = 5% of x
Total price = purchase price + sales tax
So,
Sales tax = 5% of x
Now, to find x
![\begin{gathered} 7=\text{ 5\% of x} \\ 7=(5)/(100)\text{ of x} \\ x\text{ = }(7*100)/(5) \\ x=140 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/bd75mnm7ikn2lkab5rjxy0bw6h8u1i2cvj.png)
So, purchase price is $140.
Total price of bicycle,
Total price = purchase price + sales tax
total price = 140 + 7
=147
Hence, 147 is the required answer.