My Number Is 6500. Then I Increase My Number By 20%. What Is the New Number?

by ADMIN 77 views

Introduction

In mathematics, percentage increase problems are common and can be solved using simple formulas. In this article, we will discuss how to solve a percentage increase problem step by step. We will use a real-life example to illustrate the concept.

Understanding Percentage Increase

A percentage increase is a way to express a change in value as a percentage of the original value. For example, if a number increases by 20%, it means that the new value is 120% of the original value.

The Problem

My number is 6500. Then I increase my number by 20%. What is the new number?

Step 1: Convert the Percentage to a Decimal

To solve the problem, we need to convert the percentage to a decimal. We can do this by dividing the percentage by 100.

20% = 20 ÷ 100 = 0.20

Step 2: Calculate the Increase

Now that we have the decimal equivalent of the percentage, we can calculate the increase.

Increase = Original Value x Percentage = 6500 x 0.20 = 1300

Step 3: Calculate the New Value

Now that we have the increase, we can calculate the new value by adding the increase to the original value.

New Value = Original Value + Increase = 6500 + 1300 = 7800

Conclusion

In this article, we discussed how to solve a percentage increase problem step by step. We used a real-life example to illustrate the concept. By following the steps outlined in this article, you can solve similar problems with ease.

Tips and Tricks

  • Always convert the percentage to a decimal before calculating the increase.
  • Make sure to add the increase to the original value to get the new value.
  • Practice solving percentage increase problems to become more comfortable with the concept.

Real-Life Applications

Percentage increase problems have many real-life applications. For example, if you invest $1000 in a stock that increases by 20%, you will have $1200 after the increase. Similarly, if you have a savings account with a balance of $5000 and it increases by 15%, you will have $5750 after the increase.

Common Mistakes

  • Not converting the percentage to a decimal before calculating the increase.
  • Not adding the increase to the original value to get the new value.
  • Not practicing solving percentage increase problems to become more comfortable with the concept.

Solving Percentage Increase Problems with Different Original Values

Let's say the original value is 8000 and the percentage increase is 25%. We can solve the problem using the same steps outlined above.

Step 1: Convert the percentage to a decimal = 25 ÷ 100 = 0.25

Step 2: Calculate the increase = 8000 x 0.25 = 2000

Step 3: Calculate the new value = 8000 + 2000 = 10000

Solving Percentage Increase Problems with Different Percentage Increases

Let's say the original value is 9000 and the percentage increase is 30%. We can solve the problem using the same steps outlined above.

Step 1: Convert the percentage to a decimal = 30 ÷ 100 = 0.30

Step 2: Calculate the increase = 9000 x 0.30 = 2700

Step 3: Calculate the new value = 9000 + 2700 = 11700

Conclusion

In this article, we discussed how to solve percentage increase problems step by step. We used real-life examples to illustrate the concept. By following the steps outlined in this article, you can solve similar problems with ease. Remember to practice solving percentage increase problems to become more comfortable with the concept.

Final Tips

  • Always convert the percentage to a decimal before calculating the increase.
  • Make sure to add the increase to the original value to get the new value.
  • Practice solving percentage increase problems to become more comfortable with the concept.

References

Q: What is a percentage increase?

A: A percentage increase is a way to express a change in value as a percentage of the original value. For example, if a number increases by 20%, it means that the new value is 120% of the original value.

Q: How do I calculate a percentage increase?

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

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

Q: What is the formula for calculating a percentage increase?

A: The formula for calculating a percentage increase is:

New Value = Original Value x (1 + Percentage)

Q: How do I calculate a percentage increase when the original value is not a whole number?

A: To calculate a percentage increase when the original value is not a whole number, you can use the same formula as above. For example, if the original value is 5000 and the percentage increase is 15%, you can calculate the new value as follows:

New Value = 5000 x (1 + 0.15) = 5000 x 1.15 = 5750

Q: Can I use a calculator to calculate a percentage increase?

A: Yes, you can use a calculator to calculate a percentage increase. Simply enter the original value and the percentage increase, and the calculator will give you the new value.

Q: How do I calculate a percentage increase when the percentage is a fraction?

A: To calculate a percentage increase when the percentage is a fraction, you need to convert the fraction to a decimal first. For example, if the percentage is 1/4, you can convert it to a decimal as follows:

1/4 = 0.25

Then, you can use the formula above to calculate the new value.

Q: Can I use a percentage increase to calculate a percentage decrease?

A: Yes, you can use a percentage increase to calculate a percentage decrease. Simply use the same formula as above, but use a negative percentage instead of a positive one. For example, if the original value is 5000 and the percentage decrease is 10%, you can calculate the new value as follows:

New Value = 5000 x (1 - 0.10) = 5000 x 0.90 = 4500

Q: How do I calculate a percentage increase when there are multiple increases?

A: To calculate a percentage increase when there are multiple increases, you need to multiply the original value by each increase in turn. For example, if the original value is 5000 and there are two increases of 10% and 15%, you can calculate the new value as follows:

New Value = 5000 x (1 + 0.10) x (1 + 0.15) = 5000 x 1.10 x 1.15 = 6315

Q: Can I use a percentage increase to calculate a percentage increase on a percentage increase?

A: Yes, you can use a percentage increase to calculate a percentage increase on a percentage increase. Simply use the formula above, but use a percentage increase as the original value. For example, if the original value is 10% and the percentage increase is 20%, you can calculate the new value as follows:

New Value = 10% x (1 + 0.20) = 10% x 1.20 = 12%

Conclusion

In this article, we have answered some frequently asked questions about percentage increase. We have covered topics such as calculating a percentage increase, using a calculator to calculate a percentage increase, and calculating a percentage increase when the original value is not a whole number. We have also covered more advanced topics such as calculating a percentage increase when there are multiple increases and using a percentage increase to calculate a percentage increase on a percentage increase. We hope that this article has been helpful in answering your questions about percentage increase.