Percentage Increase and Decrease Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Percentage Increase and Decrease Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Percentage Increase and Decrease Worksheets - Math Monks
To solve the percent change problems, we will use the formula:
\[
\text{Percent Change} = \left( \frac{\text{Change}}{\text{Original}} \right) \times 100
\]
Where:
- Change = After - Before
- Original = Before
We will calculate the percent change for each problem and determine whether it is an increase or a decrease.
---
- Before: 55
- After: 88
1. Calculate the change:
\[
\text{Change} = 88 - 55 = 33
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{33}{55} \right) \times 100 = 0.6 \times 100 = 60\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{60\% \text{ Increase}}
\]
---
- Before: 250
- After: 310
1. Calculate the change:
\[
\text{Change} = 310 - 250 = 60
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{60}{250} \right) \times 100 = 0.24 \times 100 = 24\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{24\% \text{ Increase}}
\]
---
- Before: 600
- After: 618
1. Calculate the change:
\[
\text{Change} = 618 - 600 = 18
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{18}{600} \right) \times 100 = 0.03 \times 100 = 3\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{3\% \text{ Increase}}
\]
---
- Before: 100
- After: 81
1. Calculate the change:
\[
\text{Change} = 81 - 100 = -19
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-19}{100} \right) \times 100 = -0.19 \times 100 = -19\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{19\% \text{ Decrease}}
\]
---
- Before: 160
- After: 120
1. Calculate the change:
\[
\text{Change} = 120 - 160 = -40
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-40}{160} \right) \times 100 = -0.25 \times 100 = -25\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{25\% \text{ Decrease}}
\]
---
- Before: 675
- After: 621
1. Calculate the change:
\[
\text{Change} = 621 - 675 = -54
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-54}{675} \right) \times 100 = -0.08 \times 100 = -8\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{8\% \text{ Decrease}}
\]
---
- Before: 175
- After: 182
1. Calculate the change:
\[
\text{Change} = 182 - 175 = 7
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{7}{175} \right) \times 100 = 0.04 \times 100 = 4\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{4\% \text{ Increase}}
\]
---
- Before: 300
- After: 279
1. Calculate the change:
\[
\text{Change} = 279 - 300 = -21
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-21}{300} \right) \times 100 = -0.07 \times 100 = -7\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{7\% \text{ Decrease}}
\]
---
- Before: 240
- After: 216
1. Calculate the change:
\[
\text{Change} = 216 - 240 = -24
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-24}{240} \right) \times 100 = -0.1 \times 100 = -10\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{10\% \text{ Decrease}}
\]
---
- Before: 600
- After: 498
1. Calculate the change:
\[
\text{Change} = 498 - 600 = -102
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-102}{600} \right) \times 100 = -0.17 \times 100 = -17\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{17\% \text{ Decrease}}
\]
---
1. \( \boxed{60\% \text{ Increase}} \)
2. \( \boxed{24\% \text{ Increase}} \)
3. \( \boxed{3\% \text{ Increase}} \)
4. \( \boxed{19\% \text{ Decrease}} \)
5. \( \boxed{25\% \text{ Decrease}} \)
6. \( \boxed{8\% \text{ Decrease}} \)
7. \( \boxed{4\% \text{ Increase}} \)
8. \( \boxed{7\% \text{ Decrease}} \)
9. \( \boxed{10\% \text{ Decrease}} \)
10. \( \boxed{17\% \text{ Decrease}} \)
\[
\text{Percent Change} = \left( \frac{\text{Change}}{\text{Original}} \right) \times 100
\]
Where:
- Change = After - Before
- Original = Before
We will calculate the percent change for each problem and determine whether it is an increase or a decrease.
---
Problem 1:
- Before: 55
- After: 88
1. Calculate the change:
\[
\text{Change} = 88 - 55 = 33
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{33}{55} \right) \times 100 = 0.6 \times 100 = 60\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{60\% \text{ Increase}}
\]
---
Problem 2:
- Before: 250
- After: 310
1. Calculate the change:
\[
\text{Change} = 310 - 250 = 60
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{60}{250} \right) \times 100 = 0.24 \times 100 = 24\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{24\% \text{ Increase}}
\]
---
Problem 3:
- Before: 600
- After: 618
1. Calculate the change:
\[
\text{Change} = 618 - 600 = 18
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{18}{600} \right) \times 100 = 0.03 \times 100 = 3\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{3\% \text{ Increase}}
\]
---
Problem 4:
- Before: 100
- After: 81
1. Calculate the change:
\[
\text{Change} = 81 - 100 = -19
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-19}{100} \right) \times 100 = -0.19 \times 100 = -19\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{19\% \text{ Decrease}}
\]
---
Problem 5:
- Before: 160
- After: 120
1. Calculate the change:
\[
\text{Change} = 120 - 160 = -40
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-40}{160} \right) \times 100 = -0.25 \times 100 = -25\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{25\% \text{ Decrease}}
\]
---
Problem 6:
- Before: 675
- After: 621
1. Calculate the change:
\[
\text{Change} = 621 - 675 = -54
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-54}{675} \right) \times 100 = -0.08 \times 100 = -8\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{8\% \text{ Decrease}}
\]
---
Problem 7:
- Before: 175
- After: 182
1. Calculate the change:
\[
\text{Change} = 182 - 175 = 7
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{7}{175} \right) \times 100 = 0.04 \times 100 = 4\%
\]
3. Determine if it is an increase or decrease:
Since the change is positive, it is an Increase.
Answer:
\[
\boxed{4\% \text{ Increase}}
\]
---
Problem 8:
- Before: 300
- After: 279
1. Calculate the change:
\[
\text{Change} = 279 - 300 = -21
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-21}{300} \right) \times 100 = -0.07 \times 100 = -7\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{7\% \text{ Decrease}}
\]
---
Problem 9:
- Before: 240
- After: 216
1. Calculate the change:
\[
\text{Change} = 216 - 240 = -24
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-24}{240} \right) \times 100 = -0.1 \times 100 = -10\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{10\% \text{ Decrease}}
\]
---
Problem 10:
- Before: 600
- After: 498
1. Calculate the change:
\[
\text{Change} = 498 - 600 = -102
\]
2. Calculate the percent change:
\[
\text{Percent Change} = \left( \frac{-102}{600} \right) \times 100 = -0.17 \times 100 = -17\%
\]
3. Determine if it is an increase or decrease:
Since the change is negative, it is a Decrease.
Answer:
\[
\boxed{17\% \text{ Decrease}}
\]
---
Final Answers:
1. \( \boxed{60\% \text{ Increase}} \)
2. \( \boxed{24\% \text{ Increase}} \)
3. \( \boxed{3\% \text{ Increase}} \)
4. \( \boxed{19\% \text{ Decrease}} \)
5. \( \boxed{25\% \text{ Decrease}} \)
6. \( \boxed{8\% \text{ Decrease}} \)
7. \( \boxed{4\% \text{ Increase}} \)
8. \( \boxed{7\% \text{ Decrease}} \)
9. \( \boxed{10\% \text{ Decrease}} \)
10. \( \boxed{17\% \text{ Decrease}} \)
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease worksheet.
