Richard, a manager, is entitled to 1/3 of the profit. The remaining profit is shared between Richard and Joyce in the ratio of their contributions: Richard contributed GHC 5,000 and Joyce GHC 10,000.

Richard receives $\frac{1}{3}$ of the total profit as a manager.

$$\text{Richard's manager share} = \frac{1}{3} \times \text{GHC } 9,000 = \text{GHC } 3,000$$

The remaining profit is the total profit minus Richard's manager share.

$$\text{Remaining profit} = \text{GHC } 9,000 - \text{GHC } 3,000 = \text{GHC } 6,000$$

Joyce contributed GHC 10,000 and Richard contributed GHC 5,000.

$$\text{Ratio of contributions (Joyce : Richard)} = 10,000 : 5,000$$

Divide both sides by 5,000 to simplify the ratio:

$$\text{Ratio of contributions (Joyce : Richard)} = 2 : 1$$

The total parts in the ratio are $2 + 1 = 3$.

Joyce's share from the remaining profit:

$$\text{Joyce's share} = \frac{2}{3} \times \text{GHC } 6,000 = \text{GHC } 4,000$$

Richard's share from the remaining profit:

$$\text{Richard's share} = \frac{1}{3} \times \text{GHC } 6,000 = \text{GHC } 2,000$$

Joyce's total receipt is her share from the remaining profit.

$$\text{Joyce's total receipt} = \boxed{\text{GHC } 4,000}$$

Richard's total receipt is his manager share plus his share from the remaining profit.

$$\text{Richard's total receipt} = \text{GHC } 3,000 + \text{GHC } 2,000 = \boxed{\text{GHC } 5,000}$$