Table Of Contents
What is the Original Price?
The original price can be defined as the cost price of an item or a service. The decrease in the original price of a product or service is called the discount offered to the buyer. Generally, this discount is expressed as a percentage.
The sale price or the selling price is the price that the buyer pays for the product.
The original price, sale price and the percentage discount are related by the percent formulas:
a = p% w
Where,
a = discount or sale price
p = percentage
w = original price
Now, Sale Price = Original Price – Discount
We can also write it as, Original Price = Sale Price + Discount
Rapid Recall
Sale Price = Original Price – Discount
Original Price = Sale Price + Discount
Solved Examples
Example 1: Leslie is offering a discount of 25% on her old comic books and selling them at $15. What is the original price of the comic books?
Solution:
Here, the selling price is given as $15 and the percentage discount is 25%.
Now, we can write that the sale price is 100% – 25% = 75% of the original price.
To be calculated:
75% of which number is 15
Apply the formula,
a = p% w [Writing the percent equation]
15 = 0.75w [Substituting 15 for a and 0.75 for p%]
20 = w [Dividing both sides by 0.75]
So, the original price of the old comic books is $20.
Example 2: Amelia bought a new dress at $36 that was discounted at 10%. What was the original price of the dress?
Solution:
Here, the selling price is given as $36, and the discount percentage is 10%.
Now, we can write that the sale price is 100% – 10% = 90% of the original price.
To be calculated:
90% of which number is 36,
Apply the following formula:
a = p%w [Writing the percent equation]
36 = 0.9w [Substitute 36 for a and 0.9 for p%]
40 = w [Dividing both sides by 0.9]
Hence, w = 40.
So, the original price of the dress is $40.
Example 3: Find the sale price of a television set whose original price is $250 at a discount of 20%.
Solution:
Here, the discount percent is 20% and the original price is $250.
So, the discount is 20% of the original price, $250.
Let’s find the discount amount by using the following formula:
a = p%w [Writing the equation]
a = 0.20%250 [Substituting 0.20 for p% and 250 for w]
a = 50 [Multiply]
So, discount = $50.
Now, we will find the sale price.
As we know, Sale Price = Original Price – Discount
= 250 – 50
= $ 200
Hence, the sale price of the television set is $200.
A discount can be described as a decrease in the original price of an item.
In order to make a profit, some stores charge more than what they paid when purchasing a product (which is the cost price). The increased amount from what the shop pays compared to the selling price is called a markup.
By learning about discount, cost price and sale price, we can understand real life activities that require monetary transactions. This will help us in having a better understanding of money and its uses.
In business, the break-even point occurs when there are no profits or losses made when a product is sold. Here, both the cost price and the sale price are the same.