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A number is increased by 25%. By what percentage must the new number be decreased to get back the original number?

Class 7Comparing QuantitiesComparing Quantities
  • A20%
  • B25%
  • C30%
  • D15%

Step-by-Step Solution

Take 100. Increased by 25% gives 125. To return to 100, decrease = 25 out of .
Answer: A) 20%

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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