Ben Earns K7 In A Fortnight. His Pay Is Increased By $3.5%$. Find His New Fortnightly Salary.

Introduction

In this article, we will delve into the world of mathematics and explore the concept of percentage increase. We will use a real-life scenario to demonstrate how to calculate the new salary after a percentage increase. Ben earns K7 in a fortnight, and his pay is increased by $3.5\%$. Our goal is to find his new fortnightly salary.

Understanding Percentage Increase

Before we dive into the calculation, let's understand what a percentage increase means. A percentage increase is a way to express a change in value as a percentage of the original value. In this case, Ben's pay is increased by $3.5\%$, which means his new salary will be $3.5\%$ more than his original salary.

Calculating the New Salary

To calculate the new salary, we need to find $3.5\%$ of Ben's original salary and add it to his original salary. We can use the following formula:

New Salary = Original Salary + (Original Salary x Percentage Increase)

In this case, the original salary is K7, and the percentage increase is $3.5\%$. We can plug these values into the formula:

New Salary = K7 + (K7 x 0.035)

To calculate the new salary, we need to multiply K7 by 0.035, which is the decimal equivalent of $3.5\%$. We can then add the result to K7.

Performing the Calculation

Let's perform the calculation:

K7 x 0.035 = K0.245

Now, we add K0.245 to K7:

New Salary = K7 + K0.245 New Salary = K7.245

Conclusion

Ben's new fortnightly salary is K7.245. This means that after a $3.5\%$ increase, Ben's pay will be K7.245 per fortnight.

Real-World Applications

Percentage increase is a common concept in real-life scenarios, such as:

• Salary increases: Employers may increase an employee's salary by a certain percentage.
• Inflation: The general price level of goods and services may increase by a certain percentage, affecting the purchasing power of consumers.
• Investment returns: Investments may earn a certain percentage return, which can affect the investor's wealth.

Tips for Calculating Percentage Increase

When calculating percentage increase, remember to:

• Convert the percentage to a decimal by dividing by 100.
• Multiply the original value by the decimal equivalent of the percentage increase.
• Add the result to the original value to find the new value.

Common Mistakes to Avoid

When calculating percentage increase, avoid the following common mistakes:

• Forgetting to convert the percentage to a decimal.
• Multiplying the original value by the percentage increase instead of the decimal equivalent.
• Not adding the result to the original value to find the new value.

Conclusion

In conclusion, calculating percentage increase is a simple yet important concept in mathematics. By understanding how to calculate percentage increase, we can apply this concept to real-life scenarios, such as salary increases, inflation, and investment returns. Remember to convert the percentage to a decimal, multiply the original value by the decimal equivalent, and add the result to the original value to find the new value.

Introduction

In our previous article, we explored the concept of percentage increase and calculated Ben's new fortnightly salary after a $3.5\%$ increase. In this article, we will answer some frequently asked questions related to percentage increase and provide additional examples to help you understand this concept better.

Q&A

Q1: What is percentage increase?

A1: Percentage increase is a way to express a change in value as a percentage of the original value. It is a common concept in mathematics and is used to calculate the new value after a certain percentage increase.

Q2: How do I calculate percentage increase?

A2: To calculate percentage increase, you need to follow these steps:

1. Convert the percentage to a decimal by dividing by 100.
2. Multiply the original value by the decimal equivalent of the percentage increase.
3. Add the result to the original value to find the new value.

Q3: What is the formula for percentage increase?

A3: The formula for percentage increase is:

New Value = Original Value + (Original Value x Percentage Increase)

Q4: How do I calculate the percentage increase?

A4: To calculate the percentage increase, you need to divide the change in value by the original value and multiply by 100.

Q5: What is the difference between percentage increase and percentage decrease?

A5: Percentage increase is a way to express a change in value as a percentage of the original value, whereas percentage decrease is a way to express a change in value as a percentage of the original value, but in the opposite direction.

Q6: Can I use percentage increase to calculate the new value after a percentage decrease?

A6: Yes, you can use percentage increase to calculate the new value after a percentage decrease. However, you need to use a negative percentage increase.

Q7: How do I calculate the percentage increase when the original value is a decimal?

A7: To calculate the percentage increase when the original value is a decimal, you need to multiply the decimal equivalent of the percentage increase by the original value.

Q8: Can I use percentage increase to calculate the new value after a percentage increase and a percentage decrease?

A8: Yes, you can use percentage increase to calculate the new value after a percentage increase and a percentage decrease. However, you need to apply the percentage increase and percentage decrease in the correct order.

Examples

Example 1: Calculating Percentage Increase

Original Value = K10 Percentage Increase = 20% New Value = ?

To calculate the new value, we need to follow these steps:

1. Convert the percentage to a decimal by dividing by 100.
2. Multiply the original value by the decimal equivalent of the percentage increase.
3. Add the result to the original value to find the new value.

Decimal Equivalent of Percentage Increase = 20/100 = 0.2 New Value = K10 + (K10 x 0.2) New Value = K10 + K2 New Value = K12

Example 2: Calculating Percentage Decrease

Original Value = K15 Percentage Decrease = 15% New Value = ?

To calculate the new value, we need to follow these steps:

1. Convert the percentage to a decimal by by 100.
2. Multiply the original value by the decimal equivalent of the percentage decrease.
3. Subtract the result from the original value to find the new value.

Decimal Equivalent of Percentage Decrease = 15/100 = 0.15 New Value = K15 - (K15 x 0.15) New Value = K15 - K2.25 New Value = K12.75

Example 3: Calculating Percentage Increase and Percentage Decrease

Original Value = K20 Percentage Increase = 10% Percentage Decrease = 5% New Value = ?

To calculate the new value, we need to follow these steps:

1. Calculate the new value after the percentage increase.
2. Calculate the new value after the percentage decrease.

New Value after Percentage Increase = K20 + (K20 x 0.1) New Value after Percentage Increase = K20 + K2 New Value after Percentage Increase = K22

New Value after Percentage Decrease = K22 - (K22 x 0.05) New Value after Percentage Decrease = K22 - K1.1 New Value after Percentage Decrease = K20.9

Conclusion

In conclusion, percentage increase is a common concept in mathematics that is used to calculate the new value after a certain percentage increase. By understanding how to calculate percentage increase, you can apply this concept to real-life scenarios, such as salary increases, inflation, and investment returns. Remember to convert the percentage to a decimal, multiply the original value by the decimal equivalent, and add the result to the original value to find the new value.