Double Discount Calculator

Formula

The formula to calculate the Final Price (FP) after applying two discounts is:

\[ FP = IP \times (1 - 1D) \times (1 - 2D) \]

Where:

$FP$ is the Final Price (\$)
$IP$ is the Initial Price (\$)
$1D$ is the first discount (as a decimal)
$2D$ is the second discount (as a decimal)

What is a Double Discount?

A double discount is defined as the final price of an item after two separate discounts have been applied to the original price. This is often used in sales promotions where an initial discount is applied, followed by a subsequent discount on the reduced price.

Example Calculation

Let's assume the following values:

Initial Price (IP) = \$100
First Discount (1D) = 10%
Second Discount (2D) = 20%

Using the formula to calculate the Final Price (FP):

\[ FP = IP \times (1 - 1D) \times (1 - 2D) = 100 \times (1 - 0.10) \times (1 - 0.20) = 100 \times 0.90 \times 0.80 = 72 \]

The Final Price (FP) is \$72.00.