~asap offering 15 points~ a store is having a 20% off sale. if the reduced price of an item is $89.60, what was it's original price?

If the cost of an item reduced 20 percent is $89.60, then 4/5 of the original price (let's call it x) is $89.60. So, we can now solve for x (the original price). 

4/5 x = 89.60

Now, we multiply by the reciprocal of the value in front of x to get x by itself

4/5 x * 5/4 = 89.60 * 5/4
x = 112

That means that the original price of the item was $112. 

(1+0.20)=1.20
1.20 (89.60) = $112.00
          or
(1-0.20)=0.80
89.60 / 0.80 = $112.00