← Year 9 topics
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Percentage Change

One multiplier does the whole job: ×1.2 is +20%, ×0.85 is −15%.

MultipliersPercentage increase & decreaseReverse percentagesCompound interest

📖 Learn

Multipliers

Increase by 30% → × 1.3. Decrease by 30% → × 0.7.

Reverse

After a 20% rise it's £60. Original = 60 ÷ 1.2 = £50.

Compound

Interest on interest: £100 at 10% for 2 years = 100 × 1.1² = £121.

Worked example

Increase £80 by 15%

  1. 1Multiplier = 1.15
  2. 280 × 1.15 = 92
  3. 3£92 ✅

⭐ Practise

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