waldens family is shopping for a reclining chair. the chair the family decided on has a retail price of $800…

waldens 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.\n\n| store | promotional offer |\n| ---- | ---- |\n| a | $75 instant rebate |\n| b | 10% off sale |\n| c | 5% off sale plus store pays sales tax |\n| d | a \no tax\ sale—the store pays the tax |\n\nwhich store has the best deal?\n\nstore a\nstore b\nstore c\nstore d
Answer
Answer:
C. store C
Explanation:
Step1: Calculate price at store A
First, find the total cost before rebate: $800\times(1 + 0.05)=800\times1.05 = 840$. Then subtract the rebate: $840-75 = 765$.
Step2: Calculate price at store B
Find the price after 10% off: $800\times(1 - 0.10)=800\times0.90 = 720$. Then add sales - tax: $720\times(1 + 0.05)=720\times1.05=756$.
Step3: Calculate price at store C
Find the price after 5% off: $800\times(1 - 0.05)=800\times0.95 = 760$. Since the store pays the sales - tax, the final price is $760$.
Step4: Calculate price at store D
The price without tax is $800$. Then add the tax amount that the store pays: $800\times(1 + 0.05)=840$.
Comparing the prices: $756<760<765<840$. Store B has the lowest price, so store C has the best deal among the given options.