Math worksheet featuring percentage calculation problems for educational practice.
A math worksheet with 12 word problems involving percentages, including discounts, sales tax, interest, and price increases.
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Step-by-step solution for: Percent Increase and Percent Decrease Word Problems (7.RP.3)
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Show Answer Key & Explanations
Step-by-step solution for: Percent Increase and Percent Decrease Word Problems (7.RP.3)
It looks like you've uploaded a text-based image containing several math problems, but I can't view images directly. However, I can help solve the problems if you provide the text or describe them.
From your message, here are the problems listed (I’ll assume they’re numbered correctly):
---
3. You are buying a DVD that originally costs $12. It was marked 25% off. There is an 8% sales tax. What is the price you will pay at the register (including discount and tax)?
4. You are selling snacks for your school's fundraiser. You buy them for $0.25 and sell them for $1.00. What percent markup is that?
5. Your parents are buying a new car for $13,000. They pay 3.5% sales tax. How much do they pay for the car including tax?
6. Myra opened a savings account with $500. The interest rate per month is 0.5%. How much money will she have in the account after one month?
7. A credit card company charges 2.5% for each transaction. If a store receives $1000 in credit card charges, how much will they have to pay in fees?
8. A scale model is 100 pounds at 97 pounds. What is the percent error?
9. The price per share of a company increases from $15.00 to $20.00. What is the percent increase on the price per share of the company?
a. 2.5%
b. 4%
c. 20%
d. 33.3%
---
Let me solve each problem step by step:
---
Original price: $12
Discount: 25% off
First, calculate the discount amount:
$$
25\% \text{ of } 12 = 0.25 \times 12 = 3
$$
So, discounted price:
$$
12 - 3 = 9
$$
Now apply 8% sales tax on the discounted price:
$$
8\% \text{ of } 9 = 0.08 \times 9 = 0.72
$$
Final price:
$$
9 + 0.72 = 9.72
$$
✔ Answer: $9.72
---
Cost price: $0.25
Selling price: $1.00
Markup amount:
$$
1.00 - 0.25 = 0.75
$$
Percent markup based on cost:
$$
\frac{0.75}{0.25} \times 100 = 300\%
$$
✔ Answer: 300% markup
---
Car price: $13,000
Sales tax: 3.5%
Tax amount:
$$
0.035 \times 13,000 = 455
$$
Total cost:
$$
13,000 + 455 = 13,455
$$
✔ Answer: $13,455
---
Initial amount: $500
Monthly interest rate: 0.5% = 0.005
Interest earned in one month:
$$
500 \times 0.005 = 2.50
$$
Amount after one month:
$$
500 + 2.50 = 502.50
$$
✔ Answer: $502.50
---
Transaction amount: $1000
Fee rate: 2.5%
Fee charged:
$$
0.025 \times 1000 = 25
$$
✔ Answer: $25
---
This seems ambiguous. "A scale model is 100 pounds at 97 pounds" — likely means the actual weight is 100 pounds, and the measured weight is 97 pounds.
Percent error formula:
$$
\text{Percent Error} = \frac{|\text{Actual} - \text{Measured}|}{\text{Actual}} \times 100
$$
$$
= \frac{|100 - 97|}{100} \times 100 = \frac{3}{100} \times 100 = 3\%
$$
✔ Answer: 3%
---
Old price: $15.00
New price: $20.00
Increase:
$$
20 - 15 = 5
$$
Percent increase:
$$
\frac{5}{15} \times 100 = 33.\overline{3}\% \approx 33.3\%
$$
✔ Answer: d. 33.3%
---
3. $9.72
4. 300%
5. $13,455
6. $502.50
7. $25
8. 3%
9. d. 33.3%
Let me know if any part needs clarification!
From your message, here are the problems listed (I’ll assume they’re numbered correctly):
---
3. You are buying a DVD that originally costs $12. It was marked 25% off. There is an 8% sales tax. What is the price you will pay at the register (including discount and tax)?
4. You are selling snacks for your school's fundraiser. You buy them for $0.25 and sell them for $1.00. What percent markup is that?
5. Your parents are buying a new car for $13,000. They pay 3.5% sales tax. How much do they pay for the car including tax?
6. Myra opened a savings account with $500. The interest rate per month is 0.5%. How much money will she have in the account after one month?
7. A credit card company charges 2.5% for each transaction. If a store receives $1000 in credit card charges, how much will they have to pay in fees?
8. A scale model is 100 pounds at 97 pounds. What is the percent error?
9. The price per share of a company increases from $15.00 to $20.00. What is the percent increase on the price per share of the company?
a. 2.5%
b. 4%
c. 20%
d. 33.3%
---
Let me solve each problem step by step:
---
Problem 3:
Original price: $12
Discount: 25% off
First, calculate the discount amount:
$$
25\% \text{ of } 12 = 0.25 \times 12 = 3
$$
So, discounted price:
$$
12 - 3 = 9
$$
Now apply 8% sales tax on the discounted price:
$$
8\% \text{ of } 9 = 0.08 \times 9 = 0.72
$$
Final price:
$$
9 + 0.72 = 9.72
$$
✔ Answer: $9.72
---
Problem 4:
Cost price: $0.25
Selling price: $1.00
Markup amount:
$$
1.00 - 0.25 = 0.75
$$
Percent markup based on cost:
$$
\frac{0.75}{0.25} \times 100 = 300\%
$$
✔ Answer: 300% markup
---
Problem 5:
Car price: $13,000
Sales tax: 3.5%
Tax amount:
$$
0.035 \times 13,000 = 455
$$
Total cost:
$$
13,000 + 455 = 13,455
$$
✔ Answer: $13,455
---
Problem 6:
Initial amount: $500
Monthly interest rate: 0.5% = 0.005
Interest earned in one month:
$$
500 \times 0.005 = 2.50
$$
Amount after one month:
$$
500 + 2.50 = 502.50
$$
✔ Answer: $502.50
---
Problem 7:
Transaction amount: $1000
Fee rate: 2.5%
Fee charged:
$$
0.025 \times 1000 = 25
$$
✔ Answer: $25
---
Problem 8:
This seems ambiguous. "A scale model is 100 pounds at 97 pounds" — likely means the actual weight is 100 pounds, and the measured weight is 97 pounds.
Percent error formula:
$$
\text{Percent Error} = \frac{|\text{Actual} - \text{Measured}|}{\text{Actual}} \times 100
$$
$$
= \frac{|100 - 97|}{100} \times 100 = \frac{3}{100} \times 100 = 3\%
$$
✔ Answer: 3%
---
Problem 9:
Old price: $15.00
New price: $20.00
Increase:
$$
20 - 15 = 5
$$
Percent increase:
$$
\frac{5}{15} \times 100 = 33.\overline{3}\% \approx 33.3\%
$$
✔ Answer: d. 33.3%
---
✔ Final Answers Summary:
3. $9.72
4. 300%
5. $13,455
6. $502.50
7. $25
8. 3%
9. d. 33.3%
Let me know if any part needs clarification!
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease word problems worksheet with answers.