Question

Question 9

Answer 1

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:

$c=p(1-d)$

#Now let $C_t$ be the sale price after taxation.

-The sales tax is added to the listed price to determine the final sale price:

$C_t=c(1+t), t=sales \ tax, c=p(1-d)\\\\C_t=p(1-d)(1+t)$

We substitute our values in the sale's equation to calculate the final sofa price:

$C_t=p(1-d)(1+t)\ ,t=0.09875,d=0.3125, p=796\\\\=796(1-0.3125)(1+0.09875)\\\\=601.29$

Hence, the final price of the sofa is $601.29