Math question about sales tax..and show work please?

Question

he discount on a new computer was $140. This was a discount of %16. What would a customer pay for the computer if a 4% sales tax was added to the sales price. and show work

Answer 1

To find out the sales price we need to find the original price.  We know 16% of the price is $140. 

Let P = original price

 

(16/100)P = 140

P = 140(100/16)

P= $875.

 

Let S= sales price

S = P - 140

S = 875-140=$735

 

We need to find 4% of sales price and add that back

to the sales price

 

(4/100)S + S = final price

(4/100)(735)+735

$764.40 is final price paid