Question

Kito makes on online purchase of a guitar case for $39.99, a tuner for $24.99 and picks for $26.99. Taxes are 6% of the total purchase price. Shipping charges are based on the following table:
Amount of Purchase
Standard Shipping
Express Shipping
up to $50
$5.10
$7.00
$50 up to $100
$6.35
$8.20
$100 up to $200
$7.80
$11.60
$200 and over
$10.50
$16.45
Kito selects express shipping and the company bills his credit card $105.69 for the total of the online purchase. Determine if Kito has been billed correctly for his purchase.
a.
Kito has been billed correctly.
b.
Kito has not been charged enough for his purchase.
c.
Kito has been over charged by $1.85 for his purchase.
d.
Kito has been over charged by $3.40 for his purchase.

Answer 1

Answer:

a. Kito has been billed correctly

Step-by-step explanation:

We simply need to check Kito's work to see if his price is accurate.

First, we can add the prices together to find the price before the sales tax is applied:  39.99 + 24.99 + 26.99 = $91.97

We can use this formula to figure out the total cost, C, after the sales tax, t is added:

C = l + (l * (t / 100)), where l = the price before applying the sales tax

C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49

We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping.  Thus we add:  97.49 + 8.20 = $105.69.

If we did not round before, we would still get the same answer when rounding:  97.4882 + 8.20 = 105.6882 = $105.69