1. **State the problem:**
Calculate the total amount Bong'i has to pay for water usage based on the tariffs and quantities given, including 15% VAT.
2. **Given data:**
- Bracket 1: 6.110 kilolitres @ 16.929000 per kilolitre
- Bracket 2: 4.073 kilolitres @ 10.323610 per kilolitre
- Bracket 3: 2.871 kilolitres @ 24.063710 per kilolitre
- VAT = 15%
3. **Formula:**
Total amount before VAT = \(\sum (\text{quantity} \times \text{rate})\)
Amount including VAT = Total before VAT \times (1 + \text{VAT rate})
4. **Calculate amount before VAT:**
- Bracket 1: \(6.110 \times 16.929000 = 103.44119\)
- Bracket 2: \(4.073 \times 10.323610 = 42.05668\)
- Bracket 3: \(2.871 \times 24.063710 = 69.08344\)
Sum before VAT = \(103.44119 + 42.05668 + 69.08344 = 214.58131\)
5. **Calculate amount including VAT:**
\[\text{Total with VAT} = 214.58131 \times 1.15 = 246.7685\]
6. **Compare with given answers:**
- Kurt-Lee's answer: 263.48
- Damian's answer: 258.48
Our calculated amount including VAT is \(246.77\), which is less than both answers.
7. **Check if VAT was applied correctly:**
If VAT was applied only on the total amount, our calculation is correct.
8. **Conclusion:**
Neither Kurt-Lee nor Damian's answers match the calculated total including VAT of \(246.77\).
Therefore, Bong'i's claim that Damian was correct is **not** supported by the calculations.
**Final answer:** \(\boxed{246.77}\) is the correct amount Bong'i has to pay including VAT.
Water Tariff Calculation
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