Find The Unknown Value In The Percent Proportion:${ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} }$Given:- Part = 10- Percent = 2Find The Whole.

Mar 8, 2025 by ADMIN 163 views

Find the Unknown Value in the Percent Proportion

Understanding the Percent Proportion Formula

The percent proportion formula is a fundamental concept in mathematics that helps us understand the relationship between a part, a whole, and a percentage. The formula is given by: ${ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} }$. This formula is used to find the unknown value in a percent proportion problem.

Given Values in the Problem

In this problem, we are given two values: the part, which is 10, and the percent, which is 2. We need to find the whole value using the percent proportion formula.

Applying the Percent Proportion Formula

To find the whole value, we can use the percent proportion formula. We can start by substituting the given values into the formula: $ \frac{10}{\text{whole}} = \frac{2}{100} }$. Now, we can solve for the whole value by cross-multiplying ${ 10 \times 100 = 2 \times \text{whole }$. This simplifies to: $ 1000 = 2 \times \text{whole} }$. To find the whole value, we can divide both sides of the equation by 2 ${ \text{whole = \frac1000}{2} }$. This simplifies to ${ \text{whole = 500 }$. Therefore, the whole value is 500.

Importance of the Percent Proportion Formula

The percent proportion formula is an essential tool in mathematics that helps us understand the relationship between a part, a whole, and a percentage. It is used in a variety of real-world applications, such as finance, business, and science. For example, it can be used to calculate interest rates, sales tax, and percentages of a total value.

Real-World Applications of the Percent Proportion Formula

The percent proportion formula has numerous real-world applications. For example, it can be used to calculate the interest rate on a loan or credit card. If a credit card has an interest rate of 2% per month, and the balance is $1000, we can use the percent proportion formula to calculate the interest charged: $ \frac{2}{100} = \frac{\text{interest}}{1000} }$. Solving for the interest, we get ${ \text{interest = \frac2}{100} \times 1000 }$. This simplifies to ${ \text{interest = 20 }$. Therefore, the interest charged is $20.

Conclusion

In conclusion, the percent proportion formula is a fundamental concept in mathematics that helps us understand the relationship between a part, a whole, and a percentage. It is used in a variety of real-world applications, such as finance, business, and science. By applying the percent proportion formula, we can solve for the unknown value in a percent proportion problem. In this problem, we found the whole value to be 500.

Frequently Asked Questions

What is the percent proportion formula? The percent proportion formula is a fundamental concept in mathematics that helps us understand the relationship between a part, a whole, and a percentage. The formula is given by: ${ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} }$.
How do I apply the percent proportion formula? To apply the percent proportion formula, you can substitute the given values into the formula and solve for the unknown value.
What are the real-world applications of the percent proportion formula? The percent proportion formula has numerous real-world applications, such as finance, business, and science.

Additional Resources

Khan Academy: Percent Proportion Formula
Mathway: Percent Proportion Formula
Wolfram Alpha: Percent Proportion Formula

References

"Percent Proportion Formula" by Math Open Reference
"Percent Proportion Formula" by Purplemath
"Percent Proportion Formula" by Math Is Fun

Understanding the Percent Proportion Formula

Q&A Section

Q: What is the percent proportion formula?

A: The percent proportion formula is a fundamental concept in mathematics that helps us understand the relationship between a part, a whole, and a percentage. The formula is given by: ${ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} }$.

Q: How do I apply the percent proportion formula?

A: To apply the percent proportion formula, you can substitute the given values into the formula and solve for the unknown value. For example, if you are given the part, percent, and whole, you can use the formula to find the unknown value.

Q: What are the real-world applications of the percent proportion formula?

A: The percent proportion formula has numerous real-world applications, such as finance, business, and science. For example, it can be used to calculate interest rates, sales tax, and percentages of a total value.

Q: How do I calculate the interest rate on a loan or credit card using the percent proportion formula?

A: To calculate the interest rate on a loan or credit card using the percent proportion formula, you can use the formula: ${ \frac{\text{interest}}{\text{balance}} = \frac{\text{interest rate}}{100} }$. For example, if the interest rate is 2% per month and the balance is $1000, you can use the formula to calculate the interest charged.

Q: How do I calculate the sales tax on a purchase using the percent proportion formula?

A: To calculate the sales tax on a purchase using the percent proportion formula, you can use the formula: ${ \frac{\text{sales tax}}{\text{purchase price}} = \frac{\text{sales tax rate}}{100} }$. For example, if the sales tax rate is 8% and the purchase price is $100, you can use the formula to calculate the sales tax charged.

Q: What is the difference between the percent proportion formula and the percentage change formula?

A: The percent proportion formula is used to find the unknown value in a percent proportion problem, while the percentage change formula is used to find the percentage change in a value. The percentage change formula is given by: ${ \text{percentage change} = \frac{\text{change in value}}{\text{original value}} \times 100 }$.

Q: How do I calculate the percentage change in a value using the percentage change formula?

A: To calculate the percentage change in a value using the percentage change formula, you can use the formula: ${ \text{percentage change} = \frac{\text{change in value}}{\text{original value}} \times 100 }$. For example, if the original value is $100 and the change in value is $20, you can use the formula to calculate the percentage change.