Percentage - Find Original Value
In this percentage course, you will learn how to determine the original value of a product using percentage concepts in two common scenarios. The first scenario involves profit, where the selling price is higher than the cost price, and you will learn how to work backwards to find the original cost. The second scenario involves loss, where the selling price is lower than the cost price, and you will similarly learn how to calculate the original value.
Related Lessons:
How To Calculate Original Price?
Whenever we want to calculate the original price of a product, be it a gain or a loss, we always take the original value to be 100%. For example, if there is a gain or loss of 20%, we adjust from this base.
- In the case of a gain, the new price becomes 120% of the original price.
- In the case of a loss, the new price becomes 80% of the original price.
By expressing the new price as a percentage of the original 100%, we can then work backwards to find the original price easily.
Find Original Value Example 1
A yacht was sold at 20% discount for $30,000. Find its original price.
Find Original Value Example 2
A shopkeeper sold a pair of shoes for $35. He made a profit of 40%. Calculate the price the shopkeeper paid for this pair of shoes.
Find Original Value Example 3
By selling an article for $304, a shopkeeper will incur a lost of 5% on its cost. At which price must he sell the article to make a profit of 15% on its cost?