Carcass wrote:
Liam has been saving money to buy a trendy but expensive toy. It goes on sale at a local toy store for 15% less than the original price. Before Liam can buy the toy, however, the toy store raises the new price by 20%. If the 15% off sale price was $119 , the final price is what percent of the original price ?
(A) 95%
(B) 98%
(C) 102%
(D) 105%
(E) 120%
Let the original price be \($x\)
After increasing the price by 20%, new price is \($1.2x\)
Now, after the sale of 15%, Final price = \($119 = 0.85 (1.2x) = 1.02x\)
i.e. \(x = $116.66\)
Therefore, \(119 = x% of 116.66\)
\(\frac{119}{116.66}(100) = x = 102\)
Hence, option C