Find The Percent Cost Of The Total Spent On Each:- Equipment: \$238 - Fees: \$151- Transportation: \$48 Options: A. $48\%, 32\%, 20\%$ B. $54\%, 35\%, 11\%$ C. $55\%, 30\%, 25\%$ D. $50\%, 40\%, 10\%$

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Understanding Percentages

Percentages are a way to express a value as a fraction of a whole. In this article, we will explore how to calculate the percent cost of the total spent on each item: Equipment, Fees, and Transportation.

Calculating Percentages: A Formula

To calculate the percentage of a value, we use the following formula:

Percentage = (Value / Total) x 100

Calculating the Percent Cost of Each Item

Let's calculate the percent cost of each item:

  • Equipment: $238
  • Fees: $151
  • Transportation: $48

Step 1: Calculate the Total Cost

First, we need to calculate the total cost of all items:

Total Cost = Equipment + Fees + Transportation = $238 + $151 + $48 = $437

Step 2: Calculate the Percent Cost of Each Item

Now, we can calculate the percent cost of each item using the formula:

  • Equipment: Percentage = ($238 / $437) x 100 = 54.43%
  • Fees: Percentage = ($151 / $437) x 100 = 34.53%
  • Transportation: Percentage = ($48 / $437) x 100 = 11.04%

Comparing the Options

Now, let's compare the calculated percentages with the given options:

  • A. $48%, 32%, 20%
  • B. $54%, 35%, 11%
  • C. $55%, 30%, 25%
  • D. $50%, 40%, 10%

Conclusion

Based on the calculations, the correct answer is:

  • Equipment: 54.43%
  • Fees: 34.53%
  • Transportation: 11.04%

The closest option is:

B. $54%, 35%, 11%

Therefore, the correct answer is option B.

Discussion

This problem requires a basic understanding of percentages and how to calculate them. It also requires the ability to compare and contrast different options. In real-life scenarios, calculating percentages is essential in various fields such as finance, business, and economics.

Tips and Tricks

  • Always calculate the total cost first.
  • Use the formula to calculate the percentage of each item.
  • Compare the calculated percentages with the given options.
  • Make sure to round the percentages to the nearest whole number.

Practice Problems

Try solving the following problems:

  • A store sells three types of shirts: A, B, and C. The prices of the shirts are $20, $30, and $40 respectively. If the total sales of the shirts are $1000, what is the percent cost of each type of shirt?
  • A company has three departments: A, B, and C. The salaries of the employees in each department are $5000, $6000, and $7000 respectively. If the total salary of the employees is $15000, what is the percent cost of each department?
    Calculating Percentages: A Q&A Guide =====================================

Frequently Asked Questions

In this article, we will answer some of the most frequently asked questions about calculating percentages.

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of a whole. It is a number that represents a part of a whole as a fraction of 100.

Q: How do I calculate a percentage?

A: To calculate a percentage, you can use the following formula:

Percentage = (Value / Total) x 100

Q: What is the total in the formula?

A: The total is the sum of all the values that you are calculating the percentage for.

Q: How do I calculate the total?

A: To calculate the total, you simply add up all the values that you are calculating the percentage for.

Q: What if I have a decimal value?

A: If you have a decimal value, you can multiply it by 100 to convert it to a percentage.

Q: How do I round a percentage?

A: To round a percentage, you can round the value to the nearest whole number.

Q: What if I have a negative value?

A: If you have a negative value, you can simply ignore the negative sign and calculate the percentage as usual.

Q: Can I calculate a percentage of a percentage?

A: Yes, you can calculate a percentage of a percentage by multiplying the two percentages together.

Q: How do I calculate a percentage increase?

A: To calculate a percentage increase, you can use the following formula:

Percentage Increase = ((New Value - Old Value) / Old Value) x 100

Q: How do I calculate a percentage decrease?

A: To calculate a percentage decrease, you can use the following formula:

Percentage Decrease = ((Old Value - New Value) / Old Value) x 100

Q: What is the difference between a percentage increase and a percentage decrease?

A: A percentage increase is a change in value that is greater than the original value, while a percentage decrease is a change in value that is less than the original value.

Q: Can I use a calculator to calculate percentages?

A: Yes, you can use a calculator to calculate percentages. Simply enter the values and the calculator will do the rest.

Q: Are there any shortcuts for calculating percentages?

A: Yes, there are several shortcuts for calculating percentages. For example, you can use the following shortcuts:

  • To calculate a percentage of a number, multiply the number by the percentage.
  • To calculate a percentage increase or decrease, use the formulas above.

Conclusion

Calculating percentages is a simple process that can be done with a few basic formulas and shortcuts. By following the steps outlined in this article, you should be able to calculate percentages with ease.

Practice Problems

Try solving the following problems:

  • A store sells three types of shirts: A, B, and C. The prices of the shirts are $20, $30, and $40 respectively. If the total sales of the shirts are $1000, what is the percent cost of each type of shirt?
  • A company has three departments: A, B, and C. The salaries of the employees in each department are $5000, $6000, and $7000 respectively. If the total salary of the employees is $15000, what is the percent cost of each department?
  • A person invests $1000 in a stock that increases by 20% in the first year. What is the new value of the stock?
  • A person invests $1000 in a stock that decreases by 20% in the first year. What is the new value of the stock?