Discount Calculator

Information about Discounts

Discounts are a great way to save money. They are a percentage of the original price that is taken off the total.

For example, if an item is $100 and there is a 10% discount, the price of the item would be $90.

This is because 10% of $100 is $10, so the price of the item would be $100 - $10 = $90.

This calculator can help you calculate the price of an item after a discount has been applied.

Methods to calculate Discounts

1. Calculatiing Discount from List Price and Sale Price

To calculate the discount, you need to know the list price and the sale price. The formula to calculate the discount is:

Let us assume, D is the discount, LP is the list price, and SP is the sale price.

\text{D = } \frac{\text{LP - SP}}{\text{LP}} \times 100

The discount is calculated by subtracting the sale price from the list price, dividing the result by the list price, and then multiplying by 100 to get a percentage.

Let's see an example

If the list price of an item is $100 and the sale price is $80, the discount would be:

\text{D = } \frac{100 - 80}{100} \times 100

\text{D = } \frac{20}{100} \times 100

\text{D = } 0.2 \times 100

\text{D = } 20\%

The discount is 20%.

How much did you save?

To calculate how much you saved, you can use the formula:

\text{Savings = LP - SP}

If the list price of an item is $100 and the sale price is $80, the savings would be:

\text{Savings = 100 - 80}

\text{Savings = 20}

2. Calculating Sale Price from List Price and Discount

To calculate the sale price, you need to know the list price and the discount. The formula to calculate the sale price is:

Let us assume, D is the discount, LP is the list price, and SP is the sale price.

\text{SP = LP - } \frac{D}{100} \times LP

The sale price is calculated by multiplying the discount by the list price, subtracting the result from the list price.

Let's see an example

If the list price of an item is $100 and the discount is 20%, the sale price would be:

\text{SP = 100 - } \frac{20}{100} \times 100

\text{SP = } 100 - 0.2 \times 100

\text{SP = 100 - 20}

\text{SP = 80}

The sale price is $80.

3. Calculating List Price from Sale Price and Discount

To calculate the list price, you need to know the sale price and the discount. The formula to calculate the list price is:

Let us assume, D is the discount, LP is the list price, and SP is the sale price.

\text{LP = } \frac{100}{100 - D} \times SP

The list price is calculated by dividing the sale price by 1 minus the discount percentage.

Let's see an example

If the sale price of an item is $80 and the discount is 20%, the list price would be:

\text{LP = } \frac{100}{100 - 20} \times 80

\text{LP = } \frac{100}{80} \times 80

\text{LP = } 1.25 \times 80

\text{LP = } 100

The list price is $100.