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.

Step 1: Calculate Richard's share as a manager. Richard receives (1)/(3) of the total profit as a manager. Richard's manager share = (1)/(3) × GHC 9,000 = GHC 3,000 Step 2: Calculate the remaining profit to be shared. The remaining profit is the total profit minus Richard's manager share. Remaining profit = GHC 9,000 - GHC 3,000 = GHC 6,000 Step 3: Determine the ratio of contributions. Joyce contributed GHC 10,000 and Richard contributed GHC 5,000. Ratio of contributions (Joyce : Richard) = 10,000 : 5,000 Divide both sides by 5,000 to simplify the ratio: Ratio of contributions (Joyce : Richard) = 2 : 1 The total parts in the ratio are 2 + 1 = 3. Step 4: Share the remaining profit according to the contribution ratio. Joyce's share from the remaining profit: Joyce's share = (2)/(3) × GHC 6,000 = GHC 4,000 Richard's share from the remaining profit: Richard's share = (1)/(3) × GHC 6,000 = GHC 2,000 Step 5: Calculate the total amount received by Joyce and Richard. Joyce's total receipt is her share from the remaining profit. Joyce's total receipt = GHC 4,000 Richard's total receipt is his manager share plus his share from the remaining profit. Richard's total receipt = GHC 3,000 + GHC 2,000 = GHC 5,000 Send me the next one 📸