Percentage word problems worksheet for practicing real-life math calculations.
A worksheet titled "Percentage Word Problems" with ten math problems involving calculating percentages for taxes, discounts, and tips.
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Show Answer Key & Explanations
Step-by-step solution for: Percentage Word Problems | Percent word problems, Word problems ...
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Show Answer Key & Explanations
Step-by-step solution for: Percentage Word Problems | Percent word problems, Word problems ...
Problem: Solving Percentage Word Problems
The worksheet contains 10 word problems involving percentages. Below, I will solve each problem step by step.
---
#### Problem 1:
My new speakers were $154.99 but I also had to pay the 6% tax. What did I pay for my new speakers?
- Step 1: Calculate the tax amount.
\[
\text{Tax} = 6\% \times 154.99 = 0.06 \times 154.99 = 9.2994 \approx 9.30
\]
- Step 2: Add the tax to the original price.
\[
\text{Total cost} = 154.99 + 9.30 = 164.29
\]
- Answer:
\[
\boxed{164.29}
\]
---
#### Problem 2:
My shoes were only $49.50 but I also had to pay the 4% tax. What was my total?
- Step 1: Calculate the tax amount.
\[
\text{Tax} = 4\% \times 49.50 = 0.04 \times 49.50 = 1.98
\]
- Step 2: Add the tax to the original price.
\[
\text{Total cost} = 49.50 + 1.98 = 51.48
\]
- Answer:
\[
\boxed{51.48}
\]
---
#### Problem 3:
I purchased a scooter for $200.00 but was charged an additional 5% for delivery. What was my total?
- Step 1: Calculate the delivery fee.
\[
\text{Delivery fee} = 5\% \times 200.00 = 0.05 \times 200.00 = 10.00
\]
- Step 2: Add the delivery fee to the original price.
\[
\text{Total cost} = 200.00 + 10.00 = 210.00
\]
- Answer:
\[
\boxed{210.00}
\]
---
#### Problem 4:
The new book was only $19.50 but it was another 60% if the author signed it. What will my book cost with an author's signature?
- Step 1: Calculate the additional cost for the author's signature.
\[
\text{Additional cost} = 60\% \times 19.50 = 0.60 \times 19.50 = 11.70
\]
- Step 2: Add the additional cost to the original price.
\[
\text{Total cost} = 19.50 + 11.70 = 31.20
\]
- Answer:
\[
\boxed{31.20}
\]
---
#### Problem 5:
The brakes for my old bike were $124.99 but another 40% charge for installation. What will my total cost be?
- Step 1: Calculate the installation charge.
\[
\text{Installation charge} = 40\% \times 124.99 = 0.40 \times 124.99 = 49.996 \approx 49.996
\]
- Step 2: Add the installation charge to the original price.
\[
\text{Total cost} = 124.99 + 49.996 = 174.986 \approx 174.99
\]
- Answer:
\[
\boxed{174.99}
\]
---
#### Problem 6:
My new laptop was $524.99 plus the 10% tax. What will it cost me?
- Step 1: Calculate the tax amount.
\[
\text{Tax} = 10\% \times 524.99 = 0.10 \times 524.99 = 52.499 \approx 52.50
\]
- Step 2: Add the tax to the original price.
\[
\text{Total cost} = 524.99 + 52.50 = 577.49
\]
- Answer:
\[
\boxed{577.49}
\]
---
#### Problem 7:
My new golf club was $136.50 but it's last year's model so I got a 60% discount. What will it cost me?
- Step 1: Calculate the discount amount.
\[
\text{Discount} = 60\% \times 136.50 = 0.60 \times 136.50 = 81.90
\]
- Step 2: Subtract the discount from the original price.
\[
\text{Total cost} = 136.50 - 81.90 = 54.60
\]
- Answer:
\[
\boxed{54.60}
\]
---
#### Problem 8:
$4.95 chocolate bars are now on sale for 35% off. What will the chocolate bars cost now?
- Step 1: Calculate the discount amount.
\[
\text{Discount} = 35\% \times 4.95 = 0.35 \times 4.95 = 1.7325 \approx 1.73
\]
- Step 2: Subtract the discount from the original price.
\[
\text{Total cost} = 4.95 - 1.73 = 3.22
\]
- Answer:
\[
\boxed{3.22}
\]
---
#### Problem 9:
My new car radio was $179.95 plus 20% for installation. What did I pay?
- Step 1: Calculate the installation charge.
\[
\text{Installation charge} = 20\% \times 179.95 = 0.20 \times 179.95 = 35.99
\]
- Step 2: Add the installation charge to the original price.
\[
\text{Total cost} = 179.95 + 35.99 = 215.94
\]
- Answer:
\[
\boxed{215.94}
\]
---
#### Problem 10:
Dinner was $29.00 but I left a 25% tip. What did I end up paying?
- Step 1: Calculate the tip amount.
\[
\text{Tip} = 25\% \times 29.00 = 0.25 \times 29.00 = 7.25
\]
- Step 2: Add the tip to the original price.
\[
\text{Total cost} = 29.00 + 7.25 = 36.25
\]
- Answer:
\[
\boxed{36.25}
\]
---
Final Answers:
1. \$164.29
2. \$51.48
3. \$210.00
4. \$31.20
5. \$174.99
6. \$577.49
7. \$54.60
8. \$3.22
9. \$215.94
10. \$36.25
Boxed Final Answer:
\[
\boxed{164.29, 51.48, 210.00, 31.20, 174.99, 577.49, 54.60, 3.22, 215.94, 36.25}
\]
Parent Tip: Review the logic above to help your child master the concept of solving percent problems worksheet.