Question

This weekend, the Nintendo Switch Mini is on sale for $413.68. The original cost was $521.73. what is the percentage change?

Answer 1

To calculate the percentage change, you can use the following formula:

\[
\text{Percentage change} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100
\]

In this case:
- Old Value (original cost) = $521.73
- New Value (sale price) = $413.68

Now, plug in the values:

\[
\text{Percentage change} = \left( \frac{413.68 - 521.73}{521.73} \right) \times 100
\]

Calculate the difference:

\[
413.68 - 521.73 = -108.05
\]

Now plug this back into the formula:

\[
\text{Percentage change} = \left( \frac{-108.05}{521.73} \right) \times 100
\]

Now calculate the division:

\[
\frac{-108.05}{521.73} \approx -0.2063
\]

Now multiply by 100 to get the percentage:

\[
-0.2063 \times 100 \approx -20.63
\]

Therefore, the percentage change is approximately **-20.63%**, indicating a decrease in price.