Calculating Percent Increase in Salary

Understanding how to calculate the percent increase is a fundamental skill, often applied in real-life scenarios like salary changes, price changes, or population growth. The percent increase tells us how much a value has grown relative to its original amount, expressed as a percentage.

Steps to Calculate Percent Increase

To find the percent increase, we follow these steps:

1. Find the amount of increase. This is the difference between the new value and the original value.
2. Divide the amount of increase by the original value. This gives us the proportional increase.
3. Multiply the result by 100 to express it as a percentage.

Applying the Formula to Aniket's Salary Increase

In this problem, we are given:

• Original Salary: Rs. 1000000
• New Salary: Rs. 1400000

Let's apply the steps:

Step 1: Find the amount of increase.

Amount of Increase = New Salary - Original Salary

Amount of Increase = \( \text{Rs. } 1400000 - \text{Rs. } 1000000 \)

Amount of Increase = \( \text{Rs. } 400000 \)

Step 2: Divide the amount of increase by the original salary.

Proportional Increase = \( \frac{\text{Amount of Increase}}{\text{Original Salary}} \)

Proportional Increase = \( \frac{400000}{1000000} \)

Proportional Increase = \( \frac{4}{10} \)

Proportional Increase = \( 0.4 \)

Step 3: Multiply by 100 to get the percent increase.

Percent Increase = Proportional Increase \( \times 100\% \)

Percent Increase = \( 0.4 \times 100\% \)

Percent Increase = \( 40\% \)

So, the percent increase in Aniket's annual salary is 40%.

Summary of Salary Increase Calculation

The percent increase in Aniket's salary from Rs. 1000000 to Rs. 1400000 is 40%.

Revision Table: Key Concepts

Additional Information: Related Percentage Concepts

Besides percent increase, it's useful to understand related concepts:

• Percent Decrease: This is used when a value goes down. The formula is similar, but you calculate the amount of decrease and divide by the original value.
  \( \text{Percent Decrease} = \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \times 100\% \)
• Percentage Change: This is a general term that can refer to either a percent increase or a percent decrease.
• Finding the New Value after a Percent Change: If you know the original value and the percent change, you can find the new value.
  • For a P% increase: New Value = Original Value \( \times (1 + \frac{P}{100}) \)
  • For a P% decrease: New Value = Original Value \( \times (1 - \frac{P}{100}) \)

These concepts are widely applicable in finance, economics, and everyday calculations.