This **article aims to find the original price of the ticket, given the discounted price and discount**. The article uses the definitions of the **original price**, **discount**, and **discounted price**. To calculate **original price** of a discounted or sale item, you need to know the sale price and **discount percentage.** The **calculations** involve a simple formula that **divides the sales price** by $ 1 $ **minus the percentage discount**.

Use this **formula to calculate the original or list price of an item**.

\[ OP = \dfrac { price } { 1 – discount } \]

The term **“discount”** refers to a pricing system in which the price of a commodity (goods or service) is lower than its marked listed price. Simply put, a **“discount”** is a percentage of the** listed price.** A **discount** is a type of price reduction on products that are recorded in **consumer transactions** where buyers have proposed a **certain percentage** of discounts on various products to promote sales. This discount offered by the seller to the buyer is called a** discount.**

The **discount is always calculated from the stated price**, taking into account the **selling price**.

**“Listed price”** is the usual price of the goods without any discount.

**“Sales Price”** is the amount we actually pay to obtain the commodity at the time of purchase.

**Expert Answer**

**Given information:**

The **discounted theme park ticket cost** $ \$ 12.95 $ less than the original price $ p $. The **price after the discount** is $ \$ 44 $.

The **original price is the sum of the discounted price and the discount.**

\[ Original\: price = discounted\: price + discount \]

\[ p = 44 + 12.95 \]

\[ p = \$ 56.95 \]

The **original price** $ p = \$ 56.95 $.

**Numerical Result**

The **original price** $p =\$ 56.95$.

**Example**

**A discounted theme park ticket costs $ \$ 14 $ less than the original price $ p $. Write and solve the equation to find the original price.**

**Solution:**

\[ p = original\: price\: of \: the \: ticket \]

Let

\[ x = the \: discounted \: price \]

The **discounted price** is $ \$ 14 $ less than the **original price.** Therefore:

\[ x = p \: – \: 14 \]

Add $ 14 $ on both sides.

\[ p = x + 14 \]

Let’s suppose that the **discounted price is** $ \$ 20 $.

\[ p = 34 \]

The** original price** is $ \$ 34 $.