Discount Calculator

How the Calculator Works:

The Discount Calculator is designed to calculate one of the following three values based on the input you provide:

1. List Price (the original price before the discount is applied),
2. Discount (the percentage off the list price),
3. Sale Price (the final price after the discount is applied).

You can choose which value to calculate by selecting the appropriate option from the dropdown menu. After that, you enter the required input values in the remaining fields, and the calculator will provide the desired result along with the discount amount.

Formulas Used:

1. Calculating List Price:

   • Formula: $$\text{List Price} = \frac{\text{Sale Price}}{1 – \frac{\text{Discount}}{100}}$$
   • Example:
     • If the Sale Price is $50 and the Discount is 40%, the formula becomes:
     $$\text{List Price} = \frac{50}{1 – \frac{40}{100}} = \frac{50}{0.6} = 83.33$$
     • Therefore, the List Price is $83.33, and the Discount Amount is:
     $$\text{Discount Amount} = \text{List Price} – \text{Sale Price} = 83.33 – 50 = 33.33$$
     • Result:
       • List Price = $83.33
       • Discount Amount = $33.33

2. Calculating Discount Percentage:

   • Formula: $$\text{Discount (\%)} = \frac{(\text{List Price} – \text{Sale Price})}{\text{List Price}} \times 100$$
   • Example:
     • If the List Price is $100 and the Sale Price is $70, the formula becomes:
     $$\text{Discount} = \frac{(100 – 70)}{100} \times 100 = \frac{30}{100} \times 100 = 30\%$$
     • Therefore, the Discount is 30%, and the Discount Amount is:
     $$\text{Discount Amount} = \text{List Price} – \text{Sale Price} = 100 – 70 = 30$$
     • Result:
       • Discount = 30%
       • Discount Amount = $30

3. Calculating Sale Price:

   • Formula: $$\text{Sale Price} = \text{List Price} \times \left(1 – \frac{\text{Discount}}{100}\right)$$
   • Example:
     • If the List Price is $80 and the Discount is 25%, the formula becomes:
     $$\text{Sale Price} = 80 \times \left(1 – \frac{25}{100}\right) = 80 \times 0.75 = 60$$
     • Therefore, the Sale Price is $60, and the Discount Amount is:
     $$\text{Discount Amount} = \text{List Price} – \text{Sale Price} = 80 – 60 = 20$$
     • Result:
       • Sale Price = $60
       • Discount Amount = $20

Quick Tips:

• Always ensure you’re entering values only for the required fields based on the selected calculation option.
• Make sure that all values are positive numbers.
• If any input field is left blank or incorrect data is entered, the calculator will return a message asking for valid inputs.