The discount calculator can calculate for you the original price, selling/discounted price, discount, and/or discount percent.

It will tell you not just the answers but how to calculate them.

Please provide ANY TWO of the following.

Price before disc.$\hspace{0.2em} \,=\, \hspace{0.2em}$

Price after disc. $\hspace{0.2em} \,=\, \hspace{0.2em}$

Discount $\hspace{0.2em} \,=\, \hspace{0.2em}$

Discount $\hspace{0.2em} \%\,=\, \hspace{0.2em}$

The discount calculator can calculate for you the original price, selling/discounted price, discount, and/or discount percent.

It will tell you not just the answers but how to calculate them.

For each of the inputs you may provide values in any format — integers, decimals, fractions, or even mixed numbers. Here are a few examples.

- Whole numbers or decimals → $\hspace{0.2em} 24 \hspace{0.2em}$, $\hspace{0.2em} -10 \hspace{0.2em}$, $\hspace{0.2em} 15.33 \hspace{0.2em}$
- Fractions → $\hspace{0.2em} 2/3 \hspace{0.2em}$, $\hspace{0.2em} -1/5 \hspace{0.2em}$
- Mixed numbers → $\hspace{0.2em} 15 \hspace{0.5em} 1/4 \hspace{0.2em}$

There are a few restrictions though, as listed below.

- Prices (before/after discount) must not be negative.
- Discount cannot be greater than the price before discount.
- Discount percent cannot be greater than 100.

If you would like to see an example of the calculator's working, just click the "example" button.

As mentioned earlier, the calculator won't just tell you the answer but also the steps you can follow to do the calculation yourself. The "show/hide solution" button would be available to you after the calculator has processed your input.

We would love to see you share our calculators with your family, friends, or anyone else who might find it useful.

By checking the "include calculation" checkbox, you can share your calculation as well.

Here's a quick overview of the concept of discount.

Before we talk about discount, let's discuss two terms that are fundamental to this discussion — original price and selling price.

Orignal Price — Original price (OP) refers to the list price or the price on the label of a product. It is the price before the discount and products are usually not sold at their original prices.

The original price is also referred to as the marked price or list price.

Selling Price — Selling price (SP) refers to the price at which a product is sold to a customer. It is usually the price after the discount has been deducted from the marked price.

In the context of discounts, this may also be referred to as the discounted price.

Discount — To make a deal look more enticing and encourage prospective customers into making the purchase, businesses may offer to sell a product at price lower than the original price. This reduction in the price of an item is known as the discount (D).

$\text{D} \hspace{0.2em} = \hspace{0.2em} \text{OP} - \text{SP}$

Discount Percent— Discount percent refers to the discount expressed as a percentage of the original price.

$D \hspace{0.2em} \% \hspace{0.2em} = \hspace{0.2em} \frac{\text{ D }}{\text{ OP }} \times 100 \hspace{0.25em} \%$

Example

During the sale, a store offered a $\hspace{0.2em} 60 \hspace{0.15em} \% \hspace{0.2em}$ discount on everything in the clearance section. If the original price of a pair of trousers was $\hspace{0.2em} \$49 \hspace{0.2em}$, find the discounted price.

Solution

A $\hspace{0.2em} 60 \hspace{0.15em} \% \hspace{0.2em}$ discount means the discounted price (or the selling price) is $\hspace{0.2em} 40 \hspace{0.15em} \% \hspace{0.2em}$ of the original price. So,

$\begin{align*} SP \hspace{0.25em} &= \hspace{0.25em} 40 \% \hspace{0.65em} \text{of} \hspace{0.65em} \$49 \\[1.5em] &= \hspace{0.25em} \frac{40}{100} \times \$49 \\[1.5em] &= \hspace{0.25em} \$19.6 \end{align*}$

So the discounted price was $\hspace{0.2em} \$ 19.6 \hspace{0.2em}$.

Example

After a discount of $\hspace{0.2em} 25 \hspace{0.15em} \% \hspace{0.2em}$ a podcast microphone was selling for $\hspace{0.2em} \$ 225 \hspace{0.2em}$. What was its original price?

Solution

A discount of $\hspace{0.2em} 25 \hspace{0.15em} \% \hspace{0.2em}$ means the selling price was $\hspace{0.2em} 75 \hspace{0.15em} \% \hspace{0.2em}$ of the original price. That means

$\begin{align*} 75 \hspace{0.25em} \% \hspace{0.65em} \text{of} \hspace{0.65em} OP \hspace{0.25em} &= \hspace{0.25em} 225 \\[1.5em] OP \hspace{0.25em} &= \hspace{0.25em} 225 \times \frac{100}{75} \\[1.5em] OP \hspace{0.25em} &= \hspace{0.25em} 300 \end{align*}$

So the original price was $\hspace{0.2em} \$ 300 \hspace{0.2em}$.

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