Respuesta :
Answer: The total price of a bench is 1.008x.
Step-by-step explanation:
Since we have given that
Let the cost price be 'x'.
Mark up % = 120%
So, Mark up value would be
[tex]\dfrac{120}{100}x\\\\=1.20x[/tex]
Discount % = 20%
Amount of discount is given by
[tex]\dfrac{20}{100}\times 1.2x\\\\=0.2\times 1.2x\\\\=0.24x[/tex]
So, it becomes,
Amount after discount is given by
[tex]1.2x-0.24x\\\\=0.96x[/tex]
Sales tax = 5%
Amount of sales tax would be
[tex]\dfrac{100+5}{100}\times 0.96x\\\\=\dfrac{105}{100}\times 0.96x\\\\=1.05\times 0.96x\\\\=1.008x[/tex]
Hence, the total price of a bench is 1.008x.