Answer :
To find out which store offers the best deal, we need to calculate the final price of the reclining chair at each store, factoring in their respective promotions. The retail price of the chair is [tex]$800$[/tex], and there is a [tex]$5\%$[/tex] sales tax.
### Store A: $75 Instant Rebate
1. Calculate the sales tax: \( 800 \times 0.05 = 40 \)
2. Add the sales tax to the retail price: \( 800 + 40 = 840 \)
3. Subtract the instant rebate: \( 840 - 75 = 765 \)
The total cost at Store A is \$765.
### Store B: 10\% Off Sale
1. Calculate the discount: \( 800 \times 0.10 = 80 \)
2. Subtract the discount from the retail price: \( 800 - 80 = 720 \)
3. Calculate the sales tax on the discounted price: \( 720 \times 0.05 = 36 \)
4. Add the sales tax to the discounted price: \( 720 + 36 = 756 \)
The total cost at Store B is \$756.
### Store C: 5\% Off Sale Plus Store Pays Sales Tax
1. Calculate the discount: \( 800 \times 0.05 = 40 \)
2. Subtract the discount from the retail price: \( 800 - 40 = 760 \)
3. Since the store pays the sales tax, there is no additional tax to be added.
The total cost at Store C is \$760.
### Store D: "No Tax" Sale - The Store Pays the Tax
1. The store pays the sales tax, so the final cost is simply the retail price: \( 800 \)
The total cost at Store D is \$800.
### Conclusion
Now we compare the total costs at each store:
- Store A: \$765
- Store B: \$756
- Store C: \$760
- Store D: \$800
The store with the lowest total cost offers the best deal. Therefore, the best deal is at Store B with a total cost of [tex]\(\$756\)[/tex].
### Store A: $75 Instant Rebate
1. Calculate the sales tax: \( 800 \times 0.05 = 40 \)
2. Add the sales tax to the retail price: \( 800 + 40 = 840 \)
3. Subtract the instant rebate: \( 840 - 75 = 765 \)
The total cost at Store A is \$765.
### Store B: 10\% Off Sale
1. Calculate the discount: \( 800 \times 0.10 = 80 \)
2. Subtract the discount from the retail price: \( 800 - 80 = 720 \)
3. Calculate the sales tax on the discounted price: \( 720 \times 0.05 = 36 \)
4. Add the sales tax to the discounted price: \( 720 + 36 = 756 \)
The total cost at Store B is \$756.
### Store C: 5\% Off Sale Plus Store Pays Sales Tax
1. Calculate the discount: \( 800 \times 0.05 = 40 \)
2. Subtract the discount from the retail price: \( 800 - 40 = 760 \)
3. Since the store pays the sales tax, there is no additional tax to be added.
The total cost at Store C is \$760.
### Store D: "No Tax" Sale - The Store Pays the Tax
1. The store pays the sales tax, so the final cost is simply the retail price: \( 800 \)
The total cost at Store D is \$800.
### Conclusion
Now we compare the total costs at each store:
- Store A: \$765
- Store B: \$756
- Store C: \$760
- Store D: \$800
The store with the lowest total cost offers the best deal. Therefore, the best deal is at Store B with a total cost of [tex]\(\$756\)[/tex].
