Answer:
$601.29
Step-by-step explanation:
-Given that the item has a discount of 31.25% and that the sales tax is at 9.875%
Let c be the sale price, p the regular price and d the discount rate.
#The cost of the item, c before sales tax is:
[tex]c=p(1-d)[/tex]
#Now let [tex]C_t[/tex] be the sale price after taxation.
-The sales tax is added to the listed price to determine the final sale price:
[tex]C_t=c(1+t), t=sales \ tax, c=p(1-d)\\\\C_t=p(1-d)(1+t)[/tex]
We substitute our values in the sale's equation to calculate the final sofa price:
[tex]C_t=p(1-d)(1+t)\ ,t=0.09875,d=0.3125, p=796\\\\=796(1-0.3125)(1+0.09875)\\\\=601.29[/tex]
Hence, the final price of the sofa is $601.29
