Question

The cost of some office furniture after a 20% reduction was $3,520.00

Answer 1

To find the original cost of the office furniture before the 20% reduction, we can use the formula for calculating the original price based on the sale price and the percentage reduction.

Let's denote:
- \( x \) as the original price
- The reduction percentage as 20%

After a 20% reduction, you are left with 80% of the original price. Therefore, the equation can be set up as follows:

\[
0.80x = 3520
\]

To find \( x \), we can rearrange the equation:

\[
x = \frac{3520}{0.80}
\]

Now, calculating:

\[
x = \frac{3520}{0.80} = 4400
\]

Thus, the original cost of the office furniture was **$4,400.00**.