Calculating the Original Price from Sale Discount: A Comprehensive Guide
When shopping during a sale, it's essential to understand how to calculate the original price of an item from the sale price and discount percentage. This guide provides you with the necessary knowledge and steps to compute the original price accurately.
Understanding Sale Discounts
Sale discounts are a common way for stores to attract customers by offering reduced prices on their products. These discounts are often specified as a percentage of the original price. For example, a 30% discount means that the customer pays 70% of the original price.
Example Calculation: Sale Discount of 30%, Sale Price is 24 Dollars
Let’s consider a practical scenario where a store offers a 30% discount, and the sale price of a dress is 24 dollars. The question is, what was the original price?
First, let's denote the original price as x. According to the discount, the sale price is 70% of the original price:
0.7x 24
To find the original price x, we need to solve for x by dividing both sides of the equation by 0.7:
x 24 / 0.7
x approximately 34.29
Verification and Practice
To verify, we can check the calculation by applying the 30% discount to the calculated original price:
0.7 * 34.29 23.99
The sale price of approximately 24 dollars is consistent with the calculation, confirming that the original price was indeed approximately 34.29 dollars.
Using Division for Clear Understanding
A simpler way to understand this problem is by using division. If we know that the sale price is 24 dollars after a 30% discount, we can use the following approach:
Original Price * 0.7 Sale Price
24 / 0.7 Original Price
24 / 0.7 approximately 34.29
Additional Examples and Practice
Let’s solve a similar problem with a different set of values.
Example 1
Birr 350 is 75% of the original price. To find the original price, we can use the following steps:
350 / 0.75 466.67
This means the original price was approximately Birr 466.67.
Example 2
If the sale price is Birr 350 after a 25% discount, we can find the original price as follows:
25% discount means the sale price is 75% of the original price. Therefore, we can set up the equation:
0.75x 350
x 350 / 0.75
x approximately 466.67
The original price was approximately Birr 466.67.
Conclusion
Calculation of the original price from the sale price is a fundamental skill in understanding discounts and prices in sales. By following the steps outlined in this guide, you can easily determine the original price of discounted items, allowing you to make informed purchasing decisions.
Additional Resources
For further practice, try solving similar problems with different percentages and sale prices. Understanding these concepts will help you in various real-life situations, such as comparing prices or negotiating deals.