Question

(2) During a sale, the cost of a laptop computer originally $900 was reduced by 30%. Once the sale ended, the cost of the DISCOUNTED computer was raised by 30%. Determine the new cost of the computer. (The answer is not $900)

Answer 1

ANSWER

$\text{\ 1,134.9}$

EXPLANATION

We want to find the new cost of the computer.

First, it was discounted from $900 by 30%.

This means that 30% of $900 was deducted from $900. This means that the price after this discount is:

$\begin{gathered} 900-(\frac{30}{100}\cdot900) \\ 900-27 \\ \text{ \ }873 \end{gathered}$

Then, this price was raised by 30%.

This means that 30% of $873 was added to $873.

This means that the new cost of the computer is:

$\begin{gathered} 873+(\frac{30}{100}\cdot873) \\ 873+261.90 \\ \text{ \ 1,134.9} \end{gathered}$

That is the new cost of the computer.