Let's solve each problem step by step using the
percent change formula:
$$
\text{Percent Change} = \left( \frac{\text{Change}}{\text{Original}} \right) \times 100
$$
Where:
-
Change = After - Before
- If
After > Before, it's an
increase
- If
After < Before, it's a
decrease
---
1) Before: 55, After: 88
- Change = 88 - 55 = 33
- Percent Change = $ \frac{33}{55} \times 100 = 60\% $
-
✔ Increase
✔ Answer: 60% Increase
---
2) Before: 250, After: 310
- Change = 310 - 250 = 60
- Percent Change = $ \frac{60}{250} \times 100 = 24\% $
-
✔ Increase
✔ Answer: 24% Increase
---
3) Before: 600, After: 618
- Change = 618 - 600 = 18
- Percent Change = $ \frac{18}{600} \times 100 = 3\% $
-
✔ Increase
✔ Answer: 3% Increase
---
4) Before: 100, After: 81
- Change = 81 - 100 = -19
- Percent Change = $ \frac{-19}{100} \times 100 = -19\% $
- So,
19% decrease
✔ Answer: 19% Decrease
---
5) Before: 160, After: 120
- Change = 120 - 160 = -40
- Percent Change = $ \frac{-40}{160} \times 100 = -25\% $
- So,
25% decrease
✔ Answer: 25% Decrease
---
6) Before: 675, After: 621
- Change = 621 - 675 = -54
- Percent Change = $ \frac{-54}{675} \times 100 = -8\% $
- So,
8% decrease
✔ Answer: 8% Decrease
---
7) Before: 175, After: 182
- Change = 182 - 175 = 7
- Percent Change = $ \frac{7}{175} \times 100 = 4\% $
-
✔ Increase
✔ Answer: 4% Increase
---
8) Before: 300, After: 279
- Change = 279 - 300 = -21
- Percent Change = $ \frac{-21}{300} \times 100 = -7\% $
- So,
7% decrease
✔ Answer: 7% Decrease
---
9) Before: 240, After: 216
- Change = 216 - 240 = -24
- Percent Change = $ \frac{-24}{240} \times 100 = -10\% $
- So,
10% decrease
✔ Answer: 10% Decrease
---
10) Before: 600, After: 498
- Change = 498 - 600 = -102
- Percent Change = $ \frac{-102}{600} \times 100 = -17\% $
- So,
17% decrease
✔ Answer: 17% Decrease
---
✔ Final Answers:
| # | Percent Change | Increase/Decrease |
|---|----------------|-------------------|
| 1 | 60% | Increase |
| 2 | 24% | Increase |
| 3 | 3% | Increase |
| 4 | 19% | Decrease |
| 5 | 25% | Decrease |
| 6 | 8% | Decrease |
| 7 | 4% | Increase |
| 8 | 7% | Decrease |
| 9 | 10% | Decrease |
|10 | 17% | Decrease |
---
Let me know if you'd like this formatted for printing or as a table!
Parent Tip: Review the logic above to help your child master the concept of percentage increase and decrease worksheet pdf.
