Question

kais family is shopping for a large - screen tv. the tv they decided on has a retail price of $1,000 at four stores. the state sales tax is 5%. each store is offering a different sales promotion, as listed in the table.

store	promotional offer
b	10% discount on price
c	store pays all sales tax
d	$40 rebate with store paying half of sales tax

which store has the best deal?
○ store a
○ store b
○ store c
○ store d

Explanation:

Step1: Calculate total for Store A

First, find the price after rebate: $1000 - 80 = 920$. Then add sales tax (5% of 1000? Wait, no: sales tax is on the price after rebate? Wait, the problem says "state sales tax is 5%". Wait, for Store A: the price is $1000, rebate $80, so subtotal is $920. Then sales tax is 5% of $920? Wait, no, maybe sales tax is on the original price? Wait, no, the problem says "each store is offering a different sales promotion". Let's re-read:

Store A: $80 rebate. So price before tax: $1000 - 80 = 920. Then sales tax is 5% of 920? Wait, no, maybe sales tax is on the retail price? Wait, the problem says "retail price of $1,000 at four stores. The state sales tax is 5%." So sales tax is 5% of the price (after promotion? Or before?). Let's check each store:

Store A: Rebate $80. So price before tax: 1000 - 80 = 920. Sales tax: 5% of 920 = 0.05*920 = 46. Total: 920 + 46 = 966.

Store B: 10% discount on price. So price before tax: 1000 - 0.10*1000 = 900. Sales tax: 5% of 900 = 45. Total: 900 + 45 = 945.

Store C: Store pays all sales tax. So price is $1000 (since store pays tax, so customer pays 1000, no tax). Total: 1000.

Store D: $40 rebate with store paying half of sales tax. So price before tax: 1000 - 40 = 960. Sales tax: 5% of 1000? Wait, no: store pays half of sales tax. So sales tax is 5% of 1000 = 50. Store pays half: 25. Customer pays half: 25. So total for customer: 960 (after rebate) + 25 (half tax) = 985? Wait, no: wait, the price after rebate is 1000 - 40 = 960. Then sales tax is 5% of 960? No, the problem says "store paying half of sales tax". So sales tax is 5% of the price (after rebate? Or before?). Let's clarify:

Alternative approach: For each store, calculate total cost (price + tax - rebate + tax paid by store).

Store A:
- Price: 1000
- Rebate: -80 → 920
- Tax: 5% of 920 = 46 (customer pays)
- Total: 920 + 46 = 966

Store B:
- Price: 1000
- Discount: 10% off → 1000 * 0.9 = 900
- Tax: 5% of 900 = 45 (customer pays)
- Total: 900 + 45 = 945

Store C:
- Price: 1000
- Store pays tax: so tax is 5% of 1000 = 50 (store pays), customer pays 1000
- Total: 1000

Store D:
- Price: 1000
- Rebate: -40 → 960
- Tax: 5% of 1000 = 50. Store pays half (25), customer pays half (25)
- Total: 960 + 25 = 985

Wait, that can't be right. Wait, maybe sales tax is on the price after rebate for Store D? Let's recalculate Store D:

Price after rebate: 1000 - 40 = 960. Sales tax is 5% of 960 = 48. Store pays half: 24. Customer pays 24. So total: 960 + 24 = 984. Still higher than Store B.

Wait, but Store B's total is 945, Store A is 966, Store C is 1000, Store D is 985 (or 984). So Store B has the lowest total? Wait, but let's check again.

Wait, maybe sales tax is on the original price. Let's try that:

Store A:
- Rebate: 80 → 1000 - 80 = 920
- Tax: 5% of 1000 = 50 (since tax is on retail price)
- Total: 920 + 50 = 970

Store B:
- Discount: 10% → 900
- Tax: 5% of 1000 = 50
- Total: 900 + 50 = 950

Store C:
- Store pays tax: so customer pays 1000, tax is 50 (store pays)
- Total: 1000

Store D:
- Rebate: 40 → 960
- Tax: 5% of 1000 = 50. Store pays half: 25. Customer pays 25.
- Total: 960 + 25 = 985

No, that's worse. Wait, the problem says "state sales tax is 5%". So sales tax is 5% of the price (the price the customer pays before tax). So for each store, the price before tax is (retail price - promotion), then tax is 5% of that.

Store A:
- Price before tax: 1000 - 80 = 920
- Tax: 0.05 * 920 = 46
- Total: 920 + 46 = 966

Store B:
- Price before tax: 1000 - 0.10*1000 = 900
- Tax: 0.05 * 900 = 45
- Total: 900 + 45 = 945

Store C:
- Store pays all sales tax: so price before tax is 1000, tax is 0 (store pays)
- Total: 1000

Store D:
- Price before tax: 1000 - 40 = 960
- Tax: 0.05 * 960 = 48. Store pays half: 24. Customer pays 24.
- Total: 960 + 24 = 984

Wait, but Store B's total is 945, which is lower than Store A (966), Store C (1000), Store D (984). So Store B? But wait, maybe I made a mistake. Let's check again.

Wait, Store B: 10% discount on price. So price is 1000 * 0.9 = 900. Then sales tax is 5% of 900, which is 45. So total is 900 + 45 = 945.

Store A: 80 rebate: 1000 - 80 = 920. Tax 5% of 920: 46. Total 966.

Store C: 1000 (no tax, store pays).

Store D: 40 rebate: 960. Tax 5% of 960: 48. Store pays half: 24. Customer pays 24. So 960 + 24 = 984.

So the totals are:

A: 966

B: 945

C: 1000

D: 984

So the lowest is Store B. Wait, but the options include Store B. So the answer is Store B.

Answer:

B. store B