We will investigate how to determine a selling price of a product given at a discounted rate.
The original price ( O ) of the computer that Alex bought is:
![O\text{ = \$1200}](https://img.qammunity.org/2023/formulas/mathematics/college/v5y8r4mhycecuq4e5mdaesghyd49qrubk9.png)
The selling price of the computer is expressed as a fraction of the original price ( O ) as follows:
![S\text{ = }(5)/(6)\cdot O](https://img.qammunity.org/2023/formulas/mathematics/college/99w6vntjai6gzzi18ya7e7f121bfjitsus.png)
Using the above expression we will plug in the value of original price of the computer and solve for its selling price as follows:
![\begin{gathered} S\text{ = }(5)/(6)\cdot1200 \\ \\ S\text{ = \$1000} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/toyvm97mox3owxcqs37dafufqn87kythmz.png)
Alex paid at the selling price ( S ) for the computer with a discount of ( D ) as follows:
![\text{Alex paid ( S = \$1000 ) with a discount of ( D = 1200 - 1000 = \$200 )}](https://img.qammunity.org/2023/formulas/mathematics/college/w07crxydvuyauvnznauzv7umxpmxrt69xl.png)