Math  /  Numbers & Operations

Question12. If the list price on a pair of skates is $75\$ 75 ad the soles tax is 7%7 \%, calculate the total cost.
13. The cost of a downloaded album is $1099\$ 1099. Edded to this cost is a 10%10 \% before-tax processing fee, 5%5 \% GST, and 7%7 \% PST. What is the toted cost of the album?

Studdy Solution

STEP 1

1. The list price of the skates is \$75.
2. The sales tax rate is 7%.
3. The cost of the downloaded album is \$1099.
4. There is a 10% before-tax processing fee on the album.
5. There is a 5% GST applied to the album.
6. There is a 7% PST applied to the album.

STEP 2

1. Calculate the total cost of the skates.
2. Calculate the total cost of the downloaded album.

STEP 3

Calculate the sales tax on the skates. The sales tax is 7% of the list price.
Sales tax=0.07×75=5.25 \text{Sales tax} = 0.07 \times 75 = 5.25

STEP 4

Add the sales tax to the list price to get the total cost of the skates.
Total cost of skates=75+5.25=80.25 \text{Total cost of skates} = 75 + 5.25 = 80.25

STEP 5

Calculate the before-tax processing fee for the album. The processing fee is 10% of the album cost.
Processing fee=0.10×1099=109.90 \text{Processing fee} = 0.10 \times 1099 = 109.90

STEP 6

Add the processing fee to the original cost of the album to get the subtotal before taxes.
Subtotal before taxes=1099+109.90=1208.90 \text{Subtotal before taxes} = 1099 + 109.90 = 1208.90

STEP 7

Calculate the GST (Goods and Services Tax) on the subtotal. The GST rate is 5%.
GST=0.05×1208.90=60.445 \text{GST} = 0.05 \times 1208.90 = 60.445

STEP 8

Calculate the PST (Provincial Sales Tax) on the subtotal. The PST rate is 7%.
PST=0.07×1208.90=84.623 \text{PST} = 0.07 \times 1208.90 = 84.623

STEP 9

Add the GST and PST to the subtotal to get the total cost of the album.
Total cost of album=1208.90+60.445+84.623=1353.968 \text{Total cost of album} = 1208.90 + 60.445 + 84.623 = 1353.968

STEP 10

Round the total cost of the album to two decimal places.
Total cost of album1353.97 \text{Total cost of album} \approx 1353.97
Solution: The total cost of the skates is \$80.25. The total cost of the downloaded album is approximately \$1353.97.

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