Triple Discount Calculator

Formula

To calculate the final price after applying three discounts:

\[ FP = IP \times (1 - \frac{1D}{100}) \times (1 - \frac{2D}{100}) \times (1 - \frac{3D}{100}) \]

Where:

$ FP $ is the final price after all discounts
$ IP $ is the initial price
$ 1D $ is the first discount percentage
$ 2D $ is the second discount percentage
$ 3D $ is the third discount percentage

Triple Discount Definition

A triple discount is a reduction in the price of a good by applying three separate discounts in sequence. Each discount is applied to the price after the previous discount has been applied, which means the final price is progressively reduced with each discount.

Example Calculation 1

Let's assume the following values:

Initial Price (IP) = $100.00
First Discount (1D) = 10%
Second Discount (2D) = 5%
Third Discount (3D) = 2%

Using the formula:

\[ FP = 100.00 \times (1 - \frac{10}{100}) \times (1 - \frac{5}{100}) \times (1 - \frac{2}{100}) = 100.00 \times 0.90 \times 0.95 \times 0.98 = 100.00 \times 0.855 \approx 85.50 \]

The final price is $85.50.

Example Calculation 2

Let's assume the following values:

Initial Price (IP) = $200.00
First Discount (1D) = 20%
Second Discount (2D) = 10%
Third Discount (3D) = 5%

Using the formula:

\[ FP = 200.00 \times (1 - \frac{20}{100}) \times (1 - \frac{10}{100}) \times (1 - \frac{5}{100}) = 200.00 \times 0.80 \times 0.90 \times 0.95 = 200.00 \times 0.684 \approx 136.80 \]

The final price is $136.80.