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**Â of a discounted or sale item, you need to know the sale price and **discount percentage.**Â The **calculations**Â involve a simple formula that **divides the sales price**Â 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”**Â 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”**Â is a percentage of the**Â listed price.**Â A **discount**Â is a type of price reduction on products that are recorded in **consumer transactions**Â where buyers have proposed a **certain percentage**Â of discounts on various products to promote sales. This discount offered by the seller to the buyer is called a**Â discount.**

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

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

**“Sales Price”**Â 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**Â $ \$ 12.95 $ less than the original price $ p $. The **price after the discount**Â is $ \$ 44 $.

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

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

\[ p = 44 + 12.95 \]

\[ p = \$ 56.95 \]

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

**Numerical Result**

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

**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

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

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

\[ x = p \: – \: 14 \]

Add $ 14 $ on both sides.

\[ p = x + 14 \]

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

\[ p = 34 \]

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