To solve each problem, we use the percent change formula:
>
Percent Change = (Change / Original) × 100
Where:
-
Change = After – Before
- If the result is positive → it’s an
Increase
- If the result is negative → it’s a
Decrease
We’ll go step by step for all 10 problems.
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Problem 1:
Before: 55
After: 88
Change = 88 – 55 = 33
Percent Change = (33 / 55) × 100 = 60% →
Increase
✔ Check: 55 + 60% of 55 = 55 + 33 = 88 ✔️
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Problem 2:
Before: 250
After: 310
Change = 310 – 250 = 60
Percent Change = (60 / 250) × 100 = 24% →
Increase
✔ Check: 250 + 24% of 250 = 250 + 60 = 310 ✔️
---
Problem 3:
Before: 600
After: 618
Change = 618 – 600 = 18
Percent Change = (18 / 600) × 100 = 3% →
Increase
✔ Check: 600 + 3% of 600 = 600 + 18 = 618 ✔️
---
Problem 4:
Before: 100
After: 81
Change = 81 – 100 = -19
Percent Change = (-19 / 100) × 100 = -19% →
Decrease
✔ Check: 100 – 19% of 100 = 100 – 19 = 81 ✔️
---
Problem 5:
Before: 160
After: 120
Change = 120 – 160 = -40
Percent Change = (-40 / 160) × 100 = -25% →
Decrease
✔ Check: 160 – 25% of 160 = 160 – 40 = 120 ✔️
---
Problem 6:
Before: 675
After: 621
Change = 621 – 675 = -54
Percent Change = (-54 / 675) × 100 = -8% →
Decrease
✔ Check: 675 – 8% of 675 = 675 – 54 = 621 ✔️
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Problem 7:
Before: 175
After: 182
Change = 182 – 175 = 7
Percent Change = (7 / 175) × 100 = 4% →
Increase
✔ Check: 175 + 4% of 175 = 175 + 7 = 182 ✔️
---
Problem 8:
Before: 300
After: 279
Change = 279 – 300 = -21
Percent Change = (-21 / 300) × 100 = -7% →
Decrease
✔ Check: 300 – 7% of 300 = 300 – 21 = 279 ✔️
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Problem 9:
Before: 240
After: 216
Change = 216 – 240 = -24
Percent Change = (-24 / 240) × 100 = -10% →
Decrease
✔ Check: 240 – 10% of 240 = 240 – 24 = 216 ✔️
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Problem 10:
Before: 600
After: 498
Change = 498 – 600 = -102
Percent Change = (-102 / 600) × 100 = -17% →
Decrease
✔ Check: 600 – 17% of 600 = 600 – 102 = 498 ✔️
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Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of percentage change worksheet.