Let's solve each problem step by step using the formula for
percentage change:
$$
\text{Percentage Change} = \left( \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \right) \times 100\%
$$
We'll determine whether it's an
increase (if new > original) or
decrease (if new < original), then compute the percentage.
---
1. Original: 600 → New: 498
- Decrease (since 498 < 600)
- Change = 498 - 600 = -102
- Percentage change = $ \frac{-102}{600} \times 100\% = -17\% $
-
Answer: Decrease, 17%
---
2. Original: 220 → New: 253
- Increase (253 > 220)
- Change = 253 - 220 = 33
- Percentage change = $ \frac{33}{220} \times 100\% = 15\% $
-
Answer: Increase, 15%
---
3. Original: 500 → New: 555
- Increase (555 > 500)
- Change = 555 - 500 = 55
- Percentage change = $ \frac{55}{500} \times 100\% = 11\% $
-
Answer: Increase, 11%
---
4. Original: 670 → New: 603
- Decrease (603 < 670)
- Change = 603 - 670 = -67
- Percentage change = $ \frac{-67}{670} \times 100\% = -10\% $
-
Answer: Decrease, 10%
---
5. Original: 300 → New: 258
- Decrease (258 < 300)
- Change = 258 - 300 = -42
- Percentage change = $ \frac{-42}{300} \times 100\% = -14\% $
-
Answer: Decrease, 14%
---
6. Original: 500 → New: 435
- Decrease (435 < 500)
- Change = 435 - 500 = -65
- Percentage change = $ \frac{-65}{500} \times 100\% = -13\% $
-
Answer: Decrease, 13%
---
7. Original: 600 → New: 642
- Increase (642 > 600)
- Change = 642 - 600 = 42
- Percentage change = $ \frac{42}{600} \times 100\% = 7\% $
-
Answer: Increase, 7%
---
8. Original: 600 → New: 618
- Increase (618 > 600)
- Change = 618 - 600 = 18
- Percentage change = $ \frac{18}{600} \times 100\% = 3\% $
-
Answer: Increase, 3%
---
9. Original: 675 → New: 729
- Increase (729 > 675)
- Change = 729 - 675 = 54
- Percentage change = $ \frac{54}{675} \times 100\% = 8\% $
-
Answer: Increase, 8%
---
10. Original: 935 → New: 748
- Decrease (748 < 935)
- Change = 748 - 935 = -187
- Percentage change = $ \frac{-187}{935} \times 100\% = -20\% $
-
Answer: Decrease, 20%
---
✔ Final Answers Table:
| # | Original | New | Increase/Decrease | % Change |
|---|---------|-----|-------------------|----------|
| 1 | 600 | 498 | ↓ | -17% |
| 2 | 220 | 253 | ↑ | +15% |
| 3 | 500 | 555 | ↑ | +11% |
| 4 | 670 | 603 | ↓ | -10% |
| 5 | 300 | 258 | ↓ | -14% |
| 6 | 500 | 435 | ↓ | -13% |
| 7 | 600 | 642 | ↑ | +7% |
| 8 | 600 | 618 | ↑ | +3% |
| 9 | 675 | 729 | ↑ | +8% |
|10 | 935 | 748 | ↓ | -20% |
---
✔ All problems solved! Let me know if you'd like this formatted as a printable answer sheet.
Parent Tip: Review the logic above to help your child master the concept of percent change problems worksheet.
