The three bags are in the ratio 5 : 1 : 4. The total mass of 20 kg is split into 10 units.

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• Total units → 5 + 1 + 4 = 10
• 10 units → 20 kg
• $$\frac{1}{1}$$ unit → 20 ÷ 10 = 2 kg
• Bag B → 1 × 2 = 2 kg
• Bag C → 4 × 2 = 8 kg
• Difference → 8 − 2 = 6 kg

The difference between the mass of Bag B and the mass of Bag C is 6 kg.
Check: Bag A = 5 × 2 = 10 kg. Total: 10 + 2 + 8 = 20 kg. ✓