Percent Worksheets - Free Printable

It seems like you've uploaded an image containing a set of percentage word problems. Since the image itself isn't directly visible in this context, I'll provide a general explanation and solution approach for each type of problem typically found in such exercises. If you can describe or transcribe any specific problem from the image, I can tailor the solution to that exact question.

General Approach to Percentage Word Problems

Percentage problems usually involve calculating:
1. Percentages: Finding what percentage one number is of another.
2. Percent Increase/Decrease: Calculating how much a quantity has increased or decreased in percentage terms.
3. Discounts and Markups: Determining the final price after applying discounts or markups.
4. Estimation and Error Analysis: Evaluating the accuracy of estimates based on percentages.

Let’s break down the types of problems you might encounter:

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Problem 1: Percent Increase/Decrease

Example Problem:
A person bought a product for $50 and sold it for $60. What was the percent increase in the selling price?

Solution:
1. Identify the change: The increase in price is $60 - $50 = $10.
2. Calculate the percentage increase:
\[
\text{Percent Increase} = \left( \frac{\text{Increase}}{\text{Original Price}} \right) \times 100 = \left( \frac{10}{50} \right) \times 100 = 20\%
\]
3. Answer: The percent increase is 20%.

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Problem 2: Discounts

Example Problem:
A store marked down a shirt originally priced at $80 by 25%. What was the sale price?

Solution:
1. Calculate the discount amount:
\[
\text{Discount} = \text{Original Price} \times \text{Discount Rate} = 80 \times 0.25 = 20
\]
2. Calculate the sale price:
\[
\text{Sale Price} = \text{Original Price} - \text{Discount} = 80 - 20 = 60
\]
3. Answer: The sale price is $60.

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Problem 3: Estimation and Error Analysis

Example Problem:
A student estimated the length of a table to be 120 cm, but upon measuring it, the actual length was 115 cm. What was the percent error in the student's estimate?

Solution:
1. Calculate the absolute error:
\[
\text{Error} = \text{Estimated Value} - \text{Actual Value} = 120 - 115 = 5 \, \text{cm}
\]
2. Calculate the percent error:
\[
\text{Percent Error} = \left( \frac{\text{Error}}{\text{Actual Value}} \right) \times 100 = \left( \frac{5}{115} \right) \times 100 \approx 4.35\%
\]
3. Answer: The percent error is approximately 4.35%.

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Problem 4: Markup

Example Problem:
A retailer buys a product for $40 and sells it for $50. What is the markup percentage?

Solution:
1. Calculate the markup amount:
\[
\text{Markup} = \text{Selling Price} - \text{Cost Price} = 50 - 40 = 10
\]
2. Calculate the markup percentage:
\[
\text{Markup Percentage} = \left( \frac{\text{Markup}}{\text{Cost Price}} \right) \times 100 = \left( \frac{10}{40} \right) \times 100 = 25\%
\]
3. Answer: The markup percentage is 25%.

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Problem 5: Sales Tax

Example Problem:
A customer purchased an item for $150, and the sales tax rate is 8%. What was the total amount paid including tax?

Solution:
1. Calculate the sales tax:
\[
\text{Sales Tax} = \text{Item Price} \times \text{Tax Rate} = 150 \times 0.08 = 12
\]
2. Calculate the total amount paid:
\[
\text{Total Amount} = \text{Item Price} + \text{Sales Tax} = 150 + 12 = 162
\]
3. Answer: The total amount paid is $162.

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Final Answer

If you can provide the specific problem from your image, I can solve it directly. For now, the general approach and examples above should help you tackle similar percentage word problems.

If you have a specific problem, feel free to describe it, and I’ll solve it for you!

Boxed Final Answer (General):
\[
\boxed{\text{See solutions above for specific problem types.}}
\]