Question

An appliance store decreases the price of a 19-in television set 27% to a sale price of $458.81. What was the original price?The original price of the television is :(Round to the nearest cent)

Answer 1

Step 1

Use the concept of percentage decrease.

Step 2

New price = $458.81

Original price = x

Percentage decrease = 27%

Step 3

Find the decrease

`\begin{gathered} Decrease\text{ = 27\% of x} \\ \\ =\text{ 0.27x} \end{gathered}`

Step 4

New price = Original price - Decrease

`\begin{gathered} 458.81\text{ = x - 0.27x} \\ \\ 458.81\text{ = 0.73x} \end{gathered}`

Step 5

Divide both sides by 0.73

`\begin{gathered} 458.81\text{ = 0.73x} \\ \\ x\text{ = }(458.81)/(0.73) \\ \\ x\text{ = 628.506849315} \end{gathered}`

Final answer

The original price is $628.51