Let's solve each problem step by step using the formula for
percent increase or decrease:
✔ Formula:
$$
\text{Percent Change} = \left( \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \right) \times 100\%
$$
- If the result is
positive, it's a
percent increase.
- If the result is
negative, it's a
percent decrease.
---
1. Original: 300, New: 180
$$
\frac{180 - 300}{300} \times 100 = \frac{-120}{300} \times 100 = -40\%
$$
✔ Decrease by 40%
---
2. Original: 50, New: 92
$$
\frac{92 - 50}{50} \times 100 = \frac{42}{50} \times 100 = 84\%
$$
✔ Increase by 84%
---
3. Original: 140, New: 35
$$
\frac{35 - 140}{140} \times 100 = \frac{-105}{140} \times 100 = -75\%
$$
✔ Decrease by 75%
---
4. Original: 500, New: 645
$$
\frac{645 - 500}{500} \times 100 = \frac{145}{500} \times 100 = 29\%
$$
✔ Increase by 29%
---
5. Original: 360, New: 414
$$
\frac{414 - 360}{360} \times 100 = \frac{54}{360} \times 100 = 15\%
$$
✔ Increase by 15%
---
6. Original: 370, New: 444
$$
\frac{444 - 370}{370} \times 100 = \frac{74}{370} \times 100 = 20\%
$$
✔ Increase by 20%
---
7. Original: 500, New: 265
$$
\frac{265 - 500}{500} \times 100 = \frac{-235}{500} \times 100 = -47\%
$$
✔ Decrease by 47%
---
8. Original: 350, New: 581
$$
\frac{581 - 350}{350} \times 100 = \frac{231}{350} \times 100 = 66\%
$$
✔ Increase by 66%
---
9. Original: 400, New: 76
$$
\frac{76 - 400}{400} \times 100 = \frac{-324}{400} \times 100 = -81\%
$$
✔ Decrease by 81%
---
10. Original: 250, New: 235
$$
\frac{235 - 250}{250} \times 100 = \frac{-15}{250} \times 100 = -6\%
$$
✔ Decrease by 6%
---
✔ Final Answers:
| Problem | Percent Change | Increase or Decrease? |
|--------|----------------|-----------------------|
| 1 | -40% | Decrease |
| 2 | +84% | Increase |
| 3 | -75% | Decrease |
| 4 | +29% | Increase |
| 5 | +15% | Increase |
| 6 | +20% | Increase |
| 7 | -47% | Decrease |
| 8 | +66% | Increase |
| 9 | -81% | Decrease |
| 10 | -6% | Decrease |
---
Let me know if you'd like this in a printable format or with explanations for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of percent increase or decrease worksheet.