The discount on a new computer was $110. This was a discount of 19%. What would a customer pay for the computer if a 3% sales tax was added to the sale price?
let the selling price be x
.19x = 110
x = 110/.19 = 578.95
less our discount = 459.95
final cost including 6% tax = 459.95(1.03) = 473.75
To find out what a customer would pay for the computer, we need to follow these steps:
Step 1: Calculate the original price of the computer.
Let's assume the original price is "x."
19% of x = $110
To find x, we divide $110 by 0.19 (or multiply it by the reciprocal of 0.19, which is 1/0.19)
x = $110 / 0.19
x ≈ $578.95 (rounded to the nearest cent)
So, the original price of the computer is approximately $578.95.
Step 2: Calculate the final price after adding sales tax.
We are told that a 3% sales tax will be added to the sale price.
3% of the sale price = (3/100) * the sale price
Final price = sale price + 3% of the sale price
Let's calculate the final price:
3% of the sale price = (3/100) * $578.95 ≈ $17.37 (rounded to the nearest cent)
Final price = $578.95 + $17.37 ≈ $596.32 (rounded to the nearest cent)
So, the customer would pay approximately $596.32 for the computer if a 3% sales tax was added to the sale price.