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A school cricket team won 12 of its 20 matches last season and 15 of its 25 matches this season. What has happened to its winning percentage?

Class 7Comparing QuantitiesComparing Quantities
  • AIt rose from 60% to 75%
  • BIt rose, because the team won 3 more matches than last season
  • CIt fell from 60% to 50%
  • DIt stayed the same at 60%

Step-by-Step Solution

Last season: . This season: . The percentage is unchanged. The trap of "3 more wins" ignores the fact that the team also played 5 more matches. The 75% option is , pairing this season's wins with last season's number of matches.
Answer: D) It stayed the same at 60%

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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