Let’s solve each problem step by step. We’re finding the
percent increase or decrease from the original amount to the new amount.
Formula:
> Percent Change = [(New Amount – Original Amount) ÷ Original Amount] × 100%
- If the result is
positive, it’s a
percent increase.
- If the result is
negative, it’s a
percent decrease.
We’ll calculate each one carefully.
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Problem 1:
Original: 300, New: 180
Change = (180 - 300) / 300 = (-120) / 300 = -0.4 →
-40%
Problem 2:
Original: 50, New: 92
Change = (92 - 50) / 50 = 42 / 50 = 0.84 →
+84%
Problem 3:
Original: 140, New: 35
Change = (35 - 140) / 140 = (-105) / 140 = -0.75 →
-75%
Problem 4:
Original: 500, New: 645
Change = (645 - 500) / 500 = 145 / 500 = 0.29 →
+29%
Problem 5:
Original: 360, New: 414
Change = (414 - 360) / 360 = 54 / 360 = 0.15 →
+15%
Problem 6:
Original: 370, New: 444
Change = (444 - 370) / 370 = 74 / 370 = 0.2 →
+20%
Problem 7:
Original: 500, New: 265
Change = (265 - 500) / 500 = (-235) / 500 = -0.47 →
-47%
Problem 8:
Original: 350, New: 581
Change = (581 - 350) / 350 = 231 / 350 = 0.66 →
+66%
Problem 9:
Original: 400, New: 76
Change = (76 - 400) / 400 = (-324) / 400 = -0.81 →
-81%
Problem 10:
Original: 250, New: 235
Change = (235 - 250) / 250 = (-15) / 250 = -0.06 →
-6%
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All calculations checked and verified.
Final Answer:
1. -40%
2. +84%
3. -75%
4. +29%
5. +15%
6. +20%
7. -47%
8. +66%
9. -81%
10. -6%
Parent Tip: Review the logic above to help your child master the concept of percent increase and decrease worksheet.