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Twelve kilograms of rice cost ₹660. How many kilograms of the same rice can be bought for ₹385?

Class 7Comparing QuantitiesComparing Quantities
  • A5 kg
  • B32 kg
  • C6.4 kg
  • D7 kg

Step-by-Step Solution

Find the rate first: per kg. Then kg. Check: . The trap in 32 kg is dividing ₹385 by 12 instead of by the price per kilogram of ₹55 — divide money by a rate in ₹/kg to get kilograms. 5 kg comes from working with the ₹275 shortfall, and 6.4 kg from rounding the rate to ₹60 per kg.
Answer: D) 7 kg

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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