\( A B \) and Peter bought a house for R575000 as an investment. AB payed R245000 and Peter payed the rest. They sold the house 5 years later and made a profit of R234500.

1. The total purchase price of the house is \[ 575\,000. \] 2. AB’s contribution is \[ 245\,000, \] so Peter’s contribution is \[ 575\,000 - 245\,000 = 330\,000. \] 3. Since the profit is to be shared in proportion to their initial investments, the ratio for AB is \[ \frac{245\,000}{575\,000} = \frac{49}{115}, \] and for Peter it is \[ \frac{330\,000}{575\,000} = \frac{66}{115}. \] 4. The total profit made on the sale of the house is \[ 234\,500. \] 5. AB’s share of the profit is given by \[ \text{Profit}_{\text{AB}} = \frac{49}{115} \times 234\,500. \] To simplify, note that \[ \frac{234\,500}{115} = \frac{234\,500 \div 5}{115 \div 5} = \frac{46\,900}{23}. \] Thus, \[ \text{Profit}_{\text{AB}} = \frac{46\,900 \times 49}{23}. \] When calculated, this is approximately \[ 99\,917.39. \] 6. Similarly, Peter’s share of the profit is \[ \text{Profit}_{\text{Peter}} = \frac{66}{115} \times 234\,500 = 234\,500 - 99\,917.39 \approx 134\,582.61. \] Therefore, AB received approximately \[ R99\,917.39, \] and Peter received approximately \[ R134\,582.61 \] from the profit.