Percentages: Basic Concepts
and Problem Types
Simplification of Decreasing and
Increasing Percentages
Understanding the concept of percentages and how
they relate to fractions and decimals is crucial
When dealing with percentage problems, it is important
to convert the percentages to decimals or fractions
To calculate a decrease or increase in percentage, the
following formula can be used:
Final Value = Original Value * (1 ±
Percentage/100)
Finding the Change in Value and Rate
To find the change in value when the rate is increased
or decreased, use the formula:
New Rate = Original Rate * (1 ± Percentage/100)
To find the change in value when the rate is increased
or decreased, multiply the original value by the new
rate:
New Value = Original Value * New Rate
Salary Problems and Expenditure Ratio
When dealing with salary problems, it is important to
understand the relationship between the salary and the
taxes, deductions, or increases
To calculate the final salary after taxes or deductions,
use the formula:
Final Salary = Original Salary * (1 - Tax Rate)
To calculate the expenditure ratio, use the formula:
Expenditure Ratio = Expenditure / Income
and Problem Types
Simplification of Decreasing and
Increasing Percentages
Understanding the concept of percentages and how
they relate to fractions and decimals is crucial
When dealing with percentage problems, it is important
to convert the percentages to decimals or fractions
To calculate a decrease or increase in percentage, the
following formula can be used:
Final Value = Original Value * (1 ±
Percentage/100)
Finding the Change in Value and Rate
To find the change in value when the rate is increased
or decreased, use the formula:
New Rate = Original Rate * (1 ± Percentage/100)
To find the change in value when the rate is increased
or decreased, multiply the original value by the new
rate:
New Value = Original Value * New Rate
Salary Problems and Expenditure Ratio
When dealing with salary problems, it is important to
understand the relationship between the salary and the
taxes, deductions, or increases
To calculate the final salary after taxes or deductions,
use the formula:
Final Salary = Original Salary * (1 - Tax Rate)
To calculate the expenditure ratio, use the formula:
Expenditure Ratio = Expenditure / Income