Finding the Change in Value
and Rate
Percentages
A percentage is a number or ratio expressed as a
fraction of 100. It is often denoted using the symbol
"%".
Change in Value
To find the change in value, we need to find the
difference between the final value and the initial
value.
The change in value can be represented as a
percentage of the initial value or the final value.
Example
The initial value of a car is $20,000 and it decreased by
10%. What is the change in value?
Final value = Initial value - (Initial value x Decrease in
percentage) = $20,000 - ($20,000 x 0.10) = $20,000 -
$2,000 = $18,000
Change in value = Final value - Initial value = $18,000 -
$20,000 = -$2,000
The car lost $2,000 in value.
Change in Rate
The change in rate can be calculated by finding
the difference between the final rate and the
initial rate.
The change in rate can be represented as a
percentage of the initial rate or the final rate.
Example
The initial interest rate of a loan is 5% and it increased
by 2%. What is the change in rate?
and Rate
Percentages
A percentage is a number or ratio expressed as a
fraction of 100. It is often denoted using the symbol
"%".
Change in Value
To find the change in value, we need to find the
difference between the final value and the initial
value.
The change in value can be represented as a
percentage of the initial value or the final value.
Example
The initial value of a car is $20,000 and it decreased by
10%. What is the change in value?
Final value = Initial value - (Initial value x Decrease in
percentage) = $20,000 - ($20,000 x 0.10) = $20,000 -
$2,000 = $18,000
Change in value = Final value - Initial value = $18,000 -
$20,000 = -$2,000
The car lost $2,000 in value.
Change in Rate
The change in rate can be calculated by finding
the difference between the final rate and the
initial rate.
The change in rate can be represented as a
percentage of the initial rate or the final rate.
Example
The initial interest rate of a loan is 5% and it increased
by 2%. What is the change in rate?
