Growth and Depreciation
Class 10: Mathematics
Definition of Growth, Formula for Population Growth, Definition of Depreciation, Formula for Value Depreciation, SEE Questions and Solutions for Growth and Depreciations
Growth
Growth refers to an increase in the value of a quantity over time, such as population, investment, or business revenue. It is often expressed as a percentage.
1. Population Growth Formula (Exponential Growth):
Where:
- \( P_T \) = Final population after growth
- \( P_0 \) = Initial Population Value (starting amount)
- \( R \) = Growth rate
- \( T\) = Time period
2. Formula for \(R_1 %\), \(R_2 %\), \(R_3 %\) Population Growth Rate Every year:
Note: It’s every year so, \(T = 1\).
Depreciation
Depreciation is the decrease in the value of an asset over time due to wear and tear, obsolescence, or usage.
1. Value Depreciation Formula (Exponential /Declining Balance Method)
Where:
- \( V_T\) = Value of asset after depreciation
- \(V_0\) = Initial value (original cost)
- \( R\) = Depreciation rate
- \( T\) = Time period
2. Formula for \(R_1 %\), \(R_2 %\), \(R_3 %\) Value Depreciation Rate Every year:
Note: It’s every year so, \(T = 1\).
