Respuesta :

The answer is 200 because you first you divide 160 by 4 (100-20=80, 80/100 simplified is 4/5) and you get 40. Then you multiply 40 by 5 and you get 200. Their are many ways to solve it. I personally think this is the easiest.

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.