Question

walden’s family is shopping for a reclining chair. the chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. each store is offering a different promotion.

store	promotional offer
b	10% off sale
c	5% off sale plus store pays sales tax
d	a “no tax” sale—the store pays the 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 sales tax: \( 1000 \times 0.05 = 50 \). Then total price before rebate: \( 1000 + 50 = 1050 \). Subtract rebate: \( 1050 - 75 = 975 \).

Step2: Calculate total for Store B

10% off the retail price: \( 1000 \times (1 - 0.10) = 900 \). Add sales tax: \( 900 \times 1.05 = 945 \).

Step3: Calculate total for Store C

5% off retail price: \( 1000 \times (1 - 0.05) = 950 \). Store pays tax, so total is \( 950 \).

Step4: Calculate total for Store D

Store pays tax, so total is retail price: \( 1000 \).

Answer:

Store C has the lowest total price (\$950), so the best deal is store C. The correct option is C. store C