In other words, the television set's original cost was on 19% sale resulting in a sale price of $499.37.
Let x= the original price
Step 1. Find the reduction amount by multiplying the original cost by 0.19.
(x * 0.19)
Step 2. Set up the equation original cost - reduction amount = sale price
x - ( x * 0.19)= 499.37
Step 3. Combine like terms.
1x - 0.19x = 499.37
0.81x=499.37
Step 4. Divide 0.81 on both sides to isolate the x.
x=$616.51 (round to the nearest hundredth, two decimal places)
Therefore, the original cost was $616.51.