Question

The sale price of an item is $160 after a 20% discount. What is the original price of the item?

Answer 1

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 2

The original price of the item is $200.

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,
`x-(20)/(100)x=160`

`x-0.2x=160`

`0.8x=160`

`x=(160)/(0.8)`

`x=200`

Therefore, the original price of the item is $200.