Answer:
The original price of the item is $200.
Step-by-step explanation:
Given : The sale price of an item is $160 after a 20% discount.
To find : What is the original price of the item?
Solution :
Let the original price be 'x'.
The sale price of an item is $160 after a 20% discount.
i.e. original price - 20% of original price = $160
So, [tex]x-\frac{20}{100}x=160[/tex]
[tex]x-0.2x=160[/tex]
[tex]0.8x=160[/tex]
[tex]x=\frac{160}{0.8}[/tex]
[tex]x=200[/tex]
Therefore, the original price of the item is $200.