Question

A digital camera is on sale for 440$. This price is 18% off the original price. What was the original price? Round to the nearest cent.

Answer 1

Since the current price of $440 results from a discount of 18% on the original price, $440->100-18=82%. Thus,

`\begin{gathered} 440\to82percent \\ x\to100\text{ percent} \\ \Rightarrow(440)/(82)=(x)/(100) \end{gathered}`

Solving for x,

`\begin{gathered} \Rightarrow x=100\cdot(440)/(82) \\ \Rightarrow x=(44000)/(82)=536.58536\ldots \\ \Rightarrow x\approx536.59 \end{gathered}`

Once rounded, the answer is $536.59