In a problem on percentages there are three quantities that are involved. These are the base, the amount, and the rate percent. Express the relation between them in the form of an equation and explain with examples how to find each one of them given the other two quantities
In problems involving percentages, there are three main quantities: the base, the amount, and the rate percent. These quantities are related to each other through a simple equation.
The equation that relates these quantities is:
Amount = Base * (Rate percent / 100)
To find each one of these quantities given the other two, you can use this equation.
1. To find the amount: Multiply the base by the rate percent divided by 100.
For example, let's say you have a base of 500 and a rate percent of 20%. The amount can be calculated as:
Amount = 500 * (20 / 100) = 100
So, the amount is 100.
2. To find the base: Divide the amount by the rate percent divided by 100.
For example, if you have an amount of 75 and a rate percent of 30%, the base can be calculated as:
Base = 75 / (30 / 100) = 250
Therefore, the base is 250.
3. To find the rate percent: Divide the amount by the base, then multiply by 100.
For example, if you have a base of 400 and an amount of 60, you can find the rate percent as follows:
Rate percent = (60 / 400) * 100 = 15
Hence, the rate percent is 15%.
Using this equation and the steps explained, you can determine any one of the three quantities (base, amount, or rate percent) given the other two.