Let's analyze the offers from each store one by one:
Store A: [tex]$80 rebate
1. Retail price: $[/tex]1000
2. Sales tax rate: 5%
3. Calculate the sales tax: [tex]\( 1000 \times 0.05 = 50 \)[/tex]
4. Add the sales tax to the retail price: [tex]\( 1000 + 50 = 1050 \)[/tex]
5. Subtract the rebate: [tex]\( 1050 - 80 = 970 \)[/tex]
The final price at Store A is \[tex]$970.
Store B: 10% discount on price
1. Retail price: $[/tex]1000
2. Discount: [tex]\( 1000 \times 0.10 = 100 \)[/tex]
3. Subtract the discount from the retail price: [tex]\( 1000 - 100 = 900 \)[/tex]
4. Calculate the sales tax on the discounted price: [tex]\( 900 \times 0.05 = 45 \)[/tex]
5. Add the sales tax to the discounted price: [tex]\( 900 + 45 = 945 \)[/tex]
The final price at Store B is \[tex]$945.
Store C: Store pays all sales tax
1. Retail price: $[/tex]1000
2. No additional sales tax cost as the store pays it.
The final price at Store C is \[tex]$1000.
Store D: $[/tex]40 rebate with store paying half of sales tax
1. Retail price: [tex]$1000
2. Sales tax rate: 5%
3. Calculate the sales tax: \( 1000 \times 0.05 = 50 \)
4. Store pays half of the sales tax: \( 50 \times 0.5 = 25 \)
5. Add half of the sales tax to the retail price: \( 1000 + 25 = 1025 \)
6. Subtract the rebate: \( 1025 - 40 = 985 \)
The final price at Store D is \$[/tex]985.
Now, let's compare the final prices:
- Store A: \[tex]$970
- Store B: \$[/tex]945
- Store C: \[tex]$1000
- Store D: \$[/tex]985
The best deal is at Store B with a final price of \$945.
