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A nursery charges a fixed rate per sapling: 7 saplings cost ₹196. How many saplings can a school buy for ₹560?

Class 6Ratio and ProportionRatio and Proportion
  • A80
  • B20
  • C28
  • D21

Step-by-Step Solution

One sapling costs ₹196 ÷ 7 = ₹28, so ₹560 buys 560 ÷ 28 = 20 saplings. Dividing ₹560 by 7 gives 80, which divides by the COUNT instead of the price of one. Answering 28 reports the price of a single sapling rather than the number bought.
Answer: B) 20

Key idea: Unitary method

If 5 pens cost ₹40, what do 8 pens cost? Step 1 — find the price of **one** pen: ₹40 ÷ 5 = ₹8. Step 2 — multiply by the new count: 8 × ₹8 = ₹64. The unitary method works for any 'X-many of something costs Y, what about Z-many?' problem. It's just two steps: find the unit, then scale.

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