Q1
In inverse proportion, when one quantity doubles, the other:
Ahalves
Bdoubles
Cstays the same
Dtriples
CBSEClass 8 (CBSE)MathematicsCh 10 · Topic 1
Understanding Inverse Proportion
Learning to identify situations where two quantities are inversely related.
Core concept
A classic example: if 4 workers complete a task in 6 days, then fewer workers would take proportionally longer, while more workers would finish proportionally faster — the total 'work' (workers × days) stays constant. Recognising when a real-world situation follows inverse proportion, rather than direct proportion, is crucial, since applying the wrong type of reasoning would lead to completely incorrect answers.
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• Inverse proportion: one quantity increases as the other decreases, keeping their product constant.
• If one quantity doubles, the other (in inverse proportion) halves, and vice versa.
• Example: workers and days for a fixed task — more workers means fewer days needed.
• Recognising direct vs inverse proportion correctly is crucial for solving problems accurately.