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Express 60 paise : ₹4 as a ratio in simplest form (₹1 = 100 paise).

Class 6Ratio and ProportionRatio and Proportion
  • A15 : 1
  • B3 : 20
  • C20 : 3
  • D3 : 200

Step-by-Step Solution

Make the units the same first: ₹4 = 400 paise. Ratio = 60 : 400, and the HCF is 20, so 60÷20 : 400÷20 = 3 : 20. Writing 60 : 4 = 15 : 1 is the classic slip of comparing paise with rupees without converting; 3 : 200 converts ₹4 to 4000 instead of 400.
Answer: B) 3 : 20

Key idea: What a ratio means

The ratio 2 : 3 says: for every 2 of one thing, there are 3 of another. In a fruit basket of 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3. **Order matters** — the ratio of oranges to apples in the same basket is 3 : 2. The two quantities must be in the same unit (you can't ratio apples to kilograms unless you convert).

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