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Ravi cracked open a savings box of ₹600 made up of ₹1, ₹2 and ₹5 coins in the ratio 1 : 2 : 1 by number. Find the percentage of coins that are ₹2 coins.

Class 7Comparing QuantitiesComparing Quantities
  • A50%
  • B25%
  • C40%
  • D20%

Step-by-Step Solution

Ratio of number of coins 1 : 2 : 1, total parts = 4. ₹2 coins are 2 parts = % of the coins.
Answer: A) 50%

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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