\begin{tabular}{l} (iii) Capital: R120 000; Drawings: R9 000; Income: R45 098 and Expenses: R76 908. \\ \hline (f) Calculate how much the owner in the following situation withdrew throughout the year. \\ Capital: R150 000; Income: R30 000; Expenses: R10 000; Assets: R200 000; Liabilities: R45 000 . \\ \hline\end{tabular}

To solve the problem, we need to calculate the owner's withdrawals for both situations provided. ### Situation (iii) 1. **Known Values:** - Capital: \( C_1 = 120,000 \) - Drawings (Withdrawals): \( D_1 = 9,000 \) - Income: \( I_1 = 45,098 \) - Expenses: \( E_1 = 76,908 \) 2. **Net Profit Calculation:** \[ \text{Net Profit} = \text{Income} - \text{Expenses} = I_1 - E_1 \] \[ \text{Net Profit} = 45,098 - 76,908 \] 3. **Calculate Net Profit:** \[ \text{Net Profit} = -31,810 \] 4. **Change in Capital Calculation:** The change in capital can be calculated as: \[ \text{Change in Capital} = \text{Net Profit} - \text{Drawings} \] Since the capital at the beginning was \( C_1 \), the capital at the end can be expressed as: \[ C_2 = C_1 + \text{Change in Capital} \] 5. **Final Capital Calculation:** \[ C_2 = C_1 + (-31,810 - D_1) \] \[ C_2 = 120,000 - 31,810 - 9,000 \] ### Situation (f) 1. **Known Values:** - Capital: \( C_2 = 150,000 \) - Income: \( I_2 = 30,000 \) - Expenses: \( E_2 = 10,000 \) - Assets: \( A = 200,000 \) - Liabilities: \( L = 45,000 \) 2. **Net Profit Calculation:** \[ \text{Net Profit} = I_2 - E_2 = 30,000 - 10,000 \] 3. **Calculate Net Profit:** \[ \text{Net Profit} = 20,000 \] 4. **Change in Capital Calculation:** The change in capital can be calculated as: \[ \text{Change in Capital} = \text{Net Profit} - \text{Drawings} \] Rearranging gives us: \[ \text{Drawings} = \text{Net Profit} - (\text{Capital at the end} - \text{Capital at the beginning}) \] 5. **Calculate Drawings:** We need to find the capital at the beginning. The capital at the beginning can be calculated from the assets and liabilities: \[ C_1 = A - L = 200,000 - 45,000 \] \[ C_1 = 155,000 \] 6. **Final Calculation of Drawings:** \[ \text{Drawings} = \text{Net Profit} - (C_2 - C_1) \] \[ \text{Drawings} = 20,000 - (150,000 - 155,000) \] \[ \text{Drawings} = 20,000 - (-5,000) \] \[ \text{Drawings} = 20,000 + 5,000 \] \[ \text{Drawings} = 25,000 \] ### Summary of Results - For situation (iii), the net profit is \(-31,810\) and the capital at the end is calculated based on the drawings. - For situation (f), the owner withdrew \( R25,000 \) throughout the year. Thus, the final answer for the withdrawals in situation (f) is \( R25,000 \).