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We have 8 people living in the castle. Thus, the bill gets split in 8 parts.
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Each part is thus 1/8
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4 of these parts are paid by AS. Thus, AS pays 4/8th.
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Because AS pays 4/8th of the bill, we are left with 4/8th of the bill to pay.
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This remaining 4/8th is divided between the remaining 7 people. Thus, everyone else pays (4/8) * (1/7) = (4 / 56)
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Thus, we have
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AS pays (4/8) * 100 = 50%, everyone else pays (4/56) * 100 = 7.14%.
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The numbers for AS will go down more drastically as more people move in, which is fair.
- With N people, the percentages will be as follows:
- AS pays (400/N) %
- The remaining is equally divided between everyone else. The remaining share is (((N - 4)/ N)) * 100) %
| #Castle mates | AS% | Everyone else% |
|---|---|---|
| 4 | 100 | 0 |
| 5 | 80 | 5 |
| 6 | 66.67 | 6.67 |
| 7 | 57.14 | 7.14 |
| 8 | 50 | 7.14 |
| 9 | 44.44 | 6.95 |
| 10 | 40 | 6.67 |
| 11 | 36.36 | 6.36 |
| 12 | 33.33 | 6.06 |
| 13 | 30.77 | 5.77 |
| 14 | 28.57 | 5.49 |
| 15 | 26.67 | 5.24 |
