The price of each item at the Dorf Gadget Store has been reduced by 20% from its original price. An MP3 player has a sale price of $112. What would the same MP3 player sell for if it was on sale for 30% off of its original price?
+781 Everything is 20$ off its original price, so each item is 80% of its original price. This $112 MP3 player is 80$ of its original cost.
\(\frac{80}{100}x=112\\ 80x=11200\\ x=140\)
Its original cost is $140. 30% off would leave 70% of $140$, which is
\(\frac{7}{10}\cdot140\\ =98\)
Therefore the MP3 player would be $98.
