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If 5 books weigh 2 kg, what do 15 books weigh (in kg)?

Class 6Ratio and ProportionRatio and Proportion
  • A6 kg
  • B12 kg
  • C30 kg
  • D7.5 kg

Step-by-Step Solution

Going from 5 to 15 multiplies the count by 3. So weight also multiplies by 3: kg. (Or unitary: 1 book = kg, 15 books kg.)
Answer: A) 6 kg

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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