Answer: The total price of a bench is 1.008x.
Explanation:
Since we have given that
Let the cost price be 'x'.
Mark up % = 120%
So, Mark up value would be
![(120)/(100)x\\\\=1.20x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6v3i0cvdefg6op86ipseyg8jb74nvsj768.png)
Discount % = 20%
Amount of discount is given by
![(20)/(100)* 1.2x\\\\=0.2* 1.2x\\\\=0.24x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2x3t17io6hyh2bcow7gzuacan7lph3k8cf.png)
So, it becomes,
Amount after discount is given by
![1.2x-0.24x\\\\=0.96x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pzwcow7gy4ew45o2tyb9nd72gga6pgkcua.png)
Sales tax = 5%
Amount of sales tax would be
![(100+5)/(100)* 0.96x\\\\=(105)/(100)* 0.96x\\\\=1.05* 0.96x\\\\=1.008x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bb8z5oi0u3ga9plcd6wum1234lccpbcqcm.png)
Hence, the total price of a bench is 1.008x.