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A nimbu-paani stall mixes lemon juice and water in the ratio 8 : 12. Which of these mixtures will taste exactly the same?

Class 7Comparing QuantitiesComparing Quantities
  • A6 parts juice to 9 parts water
  • B12 parts juice to 8 parts water
  • C10 parts juice to 14 parts water
  • D4 parts juice to 8 parts water

Step-by-Step Solution

In lowest terms 8 : . Now test each mix: 6 : , so it matches. 12 : — that is the ratio turned upside down, a much stronger mix. 10 : ; the trap here is adding 2 to both terms, but ratios stay equal only when both terms are multiplied or divided by the same number, never when a number is added. 4 : , because only the first term was halved.
Answer: A) 6 parts juice to 9 parts water

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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