Question

A furniture store has a sale during which the sale price of the sofa is 1/3 off its original price the original price of the sofa is 1,029.00, a customer can get an additional 5%off discount off the sale price for paying with cash , at checkout a 6.5% sales tax on the final price is added to the cost of the sofa . what is the total cost of the sofa ,including sales tax , for a customer paying with cash ? will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

1/3 off 1,029= 686
5% off 686 = 651.7
651.7 + 6.5% = 694.06

Answer 2

The total cost of the sofa of furniture store, including sales tax ,for a customer paying with cash after the sale is 694.06.

What is percentage ?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'.

The original price of the sofa is 1,029.00. A furniture store has a sale during which the sale price of the sofa is 1/3 off its original price.

The one third price of sofa is,

$C=\dfrac{1}{3}\times1029\\C=343$

The price of the sofa after the sale is,

$P=1029-343\\P=686$

A customer can get an additional 5% off discount off the sale price for paying with cash. Thus, the price of sofa after the discount price is,

$P=\dfrac{100-5}{100}\times686\\P=\dfrac{95}{100}\times686\\P=651.7$

At checkout a 6.5% sales tax on the final price is added to the cost of the sofa. Thus, the price of sofa after the sales tax is,

$P=\dfrac{100+6.5}{100}\times651.7\\P=\dfrac{106..5}{100}\times651.7\\P=694.06$

Thus, the total cost of the sofa of furniture store, including sales tax ,for a customer paying with cash after the sale is 694.06.

Learn more about the percentage here;

https://brainly.com/question/24304697