Question

A store employee notices that desks that cost his store $21 are being sold for $63. What percentage is the mark-up?

Write your answer using a percent sign (%).

Answer 1

To calculate the percentage mark-up, we can use the following formula:

\[
\text{Mark-up percentage} = \left( \frac{\text{Selling Price} - \text{Cost Price}}{\text{Cost Price}} \right) \times 100
\]

In this case:

- Cost Price = $21
- Selling Price = $63

Now, we can substitute the values into the formula:

\[
\text{Mark-up percentage} = \left( \frac{63 - 21}{21} \right) \times 100
\]
\[
= \left( \frac{42}{21} \right) \times 100
\]
\[
= 2 \times 100
\]
\[
= 200\%
\]

Therefore, the mark-up percentage is **200%**.