Worked solution
**(a) Hina - Motor Vehicles Account**
$$
\begin{array}{lr|lr}
\hline
\textbf{Debit} & \boldsymbol{\$} & \textbf{Credit} & \boldsymbol{\$}\\
\hline
\text{2023} & & \text{2023} & \\
\text{1 Jan Balance b/d} & 48,000 & \text{1 Oct Disposal Account} & 10,000 \\
\text{1 Apr Bank (Purchase)} & 15,000 & \text{31 Dec Balance c/d} & 53,000 \\
\hline
& \mathbf{63,000} & & \mathbf{63,000} \\
\hline
\text{2024} & & & \\
\text{1 Jan Balance b/d} & 53,000 & & \\
\end{array}
$$
**(b) Hina - Provision for Depreciation on Motor Vehicles Account**
*Working for Depreciation of Disposed Vehicle (Cost $10,000):*
- Year 2020: \(20\% \times \$10,000 = \$2,000\)
- Year 2021: \(20\% \times (\$10,000 - \$2,000) = \$1,600\)
- Year 2022: \(20\% \times (\$10,000 - \$3,600) = \$1,280\)
- Year 2023: None (Year of disposal)
- Total Accumulated Depreciation to date of sale = \(\$2,000 + \$1,600 + \$1,280 = \$4,880\)
*Working for Depreciation Charge for 2023 (Remaining Vehicles):*
- Remaining Original Vehicles Cost = \(\$48,000 - \$10,000 = \$38,000\)
- Remaining Original Vehicles Acc. Dep on 1 Jan 2023 = \(\$18,000 - \$4,880 = \$13,120\)
- Remaining Net Book Value = \(\$38,000 - \$13,120 = \$24,880\)
- Depreciation on Remaining Original Vehicles = \(20\% \times \$24,880 = \$4,976\)
- Depreciation on New Vehicle = \(20\% \times \$15,000 = \$3,000\)
- Total Depreciation Charge for 2023 = \(\$4,976 + \$3,000 = \$7,976\)
$$
\begin{array}{lr|lr}
\hline
\textbf{Debit} & \boldsymbol{\$} & \textbf{Credit} & \boldsymbol{\$}\\
\hline
\text{2023} & & \text{2023} & \\
\text{1 Oct Disposal Account} & 4,880 & \text{1 Jan Balance b/d} & 18,000 \\
\text{31 Dec Balance c/d} & 21,096 & \text{31 Dec Income Statement (depn)} & 7,976 \\
\hline
& \mathbf{25,976} & & \mathbf{25,976} \\
\hline
& & \text{2024} & \\
& & \text{1 Jan Balance b/d} & 21,096 \\
\end{array}
$$
**(c) Hina - Motor Vehicles Disposal Account**
$$
\begin{array}{lr|lr}
\hline
\textbf{Debit} & \boldsymbol{\$} & \textbf{Credit} & \boldsymbol{\$}\\
\hline
\text{2023} & & \text{2023} & \\
\text{1 Oct Motor Vehicles (Cost)} & 10,000 & \text{1 Oct Prov for Depn Account} & 4,880 \\
& & \text{1 Oct Cash (Proceeds)} & 3,200 \\
& & \text{31 Dec Income Statement (Loss)} & 1,920 \\
\hline
& \mathbf{10,000} & & \mathbf{10,000} \\
\hline
\end{array}
$$
Marking scheme
**(a) Motor Vehicles Account: 3 Marks**
- Opening Balance $48,000 on Debit: (1) mark
- Bank purchase $15,000 on Debit & Disposal transfer $10,000 on Credit: (1) mark
- Correct balance c/d & b/d of $53,000: (1) mark
**(b) Provision for Depreciation Account: 6 Marks**
- Opening Balance $18,000 on Credit: (1) mark
- Debit entry to Disposal Account $4,880: (1) mark (from calculation)
- Correct calculation of remaining depreciation expense ($4,976 + $3,000 = $7,976): (2) marks (1 for method, 1 for accuracy)
- Credit entry for Income Statement $7,976: (1) mark
- Closing balance c/d & b/d of $21,096: (1) mark
**(c) Disposal Account: 6 Marks**
- Debit entry of cost $10,000: (1) mark
- Credit entry of accumulated depreciation $4,880: (1) mark (of)
- Credit entry of cash proceeds $3,200: (1) mark
- Balancing figure calculation (Loss on disposal of $1,920): (2) marks (1 for method, 1 for accuracy)
- Transfer to Income statement on Credit side: (1) mark