48 this question is worth 3 credits. a furniture store is advertising a 20% discount on the price of sofas…

48 this question is worth 3 credits. a furniture store is advertising a 20% discount on the price of sofas. scott chooses a sofa with a discounted price of $460.00. he must also pay an 8% sales tax. how much money will scott save on the discounted sofa, including tax, compared to the originally priced sofa, including tax? show your work.

48 this question is worth 3 credits. a furniture store is advertising a 20% discount on the price of sofas. scott chooses a sofa with a discounted price of $460.00. he must also pay an 8% sales tax. how much money will scott save on the discounted sofa, including tax, compared to the originally priced sofa, including tax? show your work.

Answer

Explanation:

Step1: Find the original price of the sofa

Let the original price be $x$. After a 20% discount, the price is $0.8x$. Given $0.8x = 460$, then $x=\frac{460}{0.8}=575$.

Step2: Calculate the tax - inclusive price of the original sofa

The sales tax rate is 8%. The tax - inclusive price of the original sofa is $575\times(1 + 0.08)=575\times1.08 = 621$.

Step3: Calculate the tax - inclusive price of the discounted sofa

The tax - inclusive price of the discounted sofa is $460\times(1 + 0.08)=460\times1.08 = 496.8$.

Step4: Calculate the savings

The savings is $621-496.8 = 124.2$.

Answer:

$124.2$