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Math worksheet for calculating percentage increase or decrease between two values.

Worksheet titled "Percentage Increase/Decrease (A)" with 10 problems showing original and new amounts, arrows indicating increase or decrease, and a space to calculate percentage change.

Worksheet titled "Percentage Increase/Decrease (A)" with 10 problems showing original and new amounts, arrows indicating increase or decrease, and a space to calculate percentage change.

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Show Answer Key & Explanations Step-by-step solution for: Percentage Increase or Decrease of Whole Numbers with 1 Percent ...
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.

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1. Original: 600 → New: 498


- Decrease: $600 - 498 = 102$
- Percentage: $\frac{102}{600} \times 100 = 17\%$
Decrease of 17%

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2. Original: 220 → New: 253


- Increase: $253 - 220 = 33$
- Percentage: $\frac{33}{220} \times 100 = 15\%$
Increase of 15%

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3. Original: 500 → New: 555


- Increase: $555 - 500 = 55$
- Percentage: $\frac{55}{500} \times 100 = 11\%$
Increase of 11%

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4. Original: 670 → New: 603


- Decrease: $670 - 603 = 67$
- Percentage: $\frac{67}{670} \times 100 \approx 10\%$
Decrease of 10%

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5. Original: 300 → New: 258


- Decrease: $300 - 258 = 42$
- Percentage: $\frac{42}{300} \times 100 = 14\%$
Decrease of 14%

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6. Original: 500 → New: 435


- Decrease: $500 - 435 = 65$
- Percentage: $\frac{65}{500} \times 100 = 13\%$
Decrease of 13%

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7. Original: 600 → New: 642


- Increase: $642 - 600 = 42$
- Percentage: $\frac{42}{600} \times 100 = 7\%$
Increase of 7%

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8. Original: 600 → New: 618


- Increase: $618 - 600 = 18$
- Percentage: $\frac{18}{600} \times 100 = 3\%$
Increase of 3%

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9. Original: 675 → New: 729


- Increase: $729 - 675 = 54$
- Percentage: $\frac{54}{675} \times 100 = 8\%$
Increase of 8%

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10. Original: 935 → New: 748


- Decrease: $935 - 748 = 187$
- Percentage: $\frac{187}{935} \times 100 = 20\%$
Decrease of 20%

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Final Answers:



| # | Original | New | Change | % 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% |

> 💡 Note: Negative percentages mean decrease, positive means increase.

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