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Sagot :
Let's first address the missing values in the given table.
### Debt Equity Table Calculations
1. Row 1:
- Debt ratio = 0
- Debt = 0
- Equity = Br. 100,000
- Assets = Debt + Equity = 0 + Br. 100,000 = Br. 100,000
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0 & 0 & 0 & \text{Br. 100,000} & \text{Br. 100,000} \\ \hline \end{array} \][/tex]
2. Row 2:
- Debt ratio = 0.5
- Equity = Br. 75,000
- Debt = Debt ratio Equity = 0.5 Br. 75,000 = Br. 37,500
- Assets = Debt + Equity = Br. 37,500 + Br. 75,000 = Br. 112,500
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0.5 & 0.5 & \text{Br. 37,500} & \text{Br. 75,000} & \text{Br. 112,500} \\ \hline \end{array} \][/tex]
3. Row 3:
- Debt ratio = 1.5
- Assets = Br. 150,000
- Let equity be [tex]\( x \)[/tex].
- Assets = Debt + Equity
- Given a Debt ratio of 1.5: Debt = 1.5 Equity
- Therefore, Assets = (1.5 Equity) + Equity
- Br. 150,000 = (1.5 Equity) + Equity
- Br. 150,000 = 2.5 Equity
- Equity = Br. 150,000 / 2.5 = Br. 60,000
- Debt = 1.5 Equity = 1.5 Br. 60,000 = Br. 90,000
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 1.5 & 1.5 & \text{Br. 90,000} & \text{Br. 60,000} & \text{Br. 150,000} \\ \hline \end{array} \][/tex]
4. Row 4:
- Let the Debt ratio = [tex]\( x \)[/tex]
- Debt = Br. 50,000
- Assets = Br. 175,000
- Equity = Assets - Debt = Br. 175,000 - Br. 50,000 = Br. 125,000
- Debt ratio = Debt / Assets = Br. 50,000 / Br. 175,000 ≈ 0.2857
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0.2857 & 0.2857 & \text{Br. 50,000} & \text{Br. 125,000} & \text{Br. 175,000} \\ \hline \end{array} \][/tex]
### Current Ratio Calculations
Handush spare parts Enterprise has current assets of Br. 60,000 and current liabilities of Br. 30,000.
1. Initial Current Ratio:
[tex]\[ \text{Initial Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} = \frac{Br. 60,000}{Br. 30,000} = 2.0 \][/tex]
2. Transaction Impact Analysis:
- a) Collect Br. 5,000 of accounts receivable in cash:
- Collecting accounts receivable in cash will not change the total amount of current assets.
[tex]\[ \text{Current Ratio_a} = \frac{Br. 60,000}{Br. 30,000} = 2.0 \][/tex]
- b) Purchase Br. 10,000 of inventories on short-term credit:
- Current Assets increase by Br. 10,000
- Current Liabilities increase by Br. 10,000
[tex]\[ \text{Current Ratio_b} = \frac{Current Assets + Br. 10,000}{Current Liabilities + Br. 10,000} = \frac{Br. 60,000 + Br. 10,000}{Br. 30,000 + Br. 10,000} = \frac{Br. 70,000}{Br. 40,000} = 1.75 \][/tex]
- c) Sell Br. 150,000 of fixed assets for cash:
- Current Assets increase by Br. 150,000 (as cash is added)
[tex]\[ \text{Current Ratio_c} = \frac{Current Assets + Br. 150,000}{Current Liabilities} = \frac{Br. 60,000 + Br. 150,000}{Br. 30,000} = \frac{Br. 210,000}{Br. 30,000} = 7.0 \][/tex]
### Summary:
1. Debt equity table:
\begin{array}{|c|c|c|c|c|}
\hline
\text{Ratio} & \text{Debt ratio} & \text{Debt} & \text{Equity} & \text{Assets} \\
\hline
0 & 0 & 0 & \text{Br. 100,000} & \text{Br. 100,000} \\
\hline
0.5 & 0.5 & \text{Br. 37,500} & \text{Br. 75,000} & \text{Br. 112,500} \\
\hline
1.5 & 1.5 & \text{Br. 90,000} & \text{Br. 60,000} & \text{Br. 150,000} \\
\hline
0.2857 & 0.2857 & \text{Br. 50,000} & \text{Br. 125,000} & \text{Br. 175,000} \\
\hline
\end{array}
2. Current Ratio:
\begin{array}{|c|c|}
\hline
\text{Transaction} & \text{Current Ratio} \\
\hline
\text{Initial} & 2.0 \\
\hline
\text{Collect accounts receivable} & 2.0 \\
\hline
\text{Purchase inventories on credit} & 1.75 \\
\hline
\text{Sell fixed assets for cash} & 7.0 \\
\hline
\end{array}
### Debt Equity Table Calculations
1. Row 1:
- Debt ratio = 0
- Debt = 0
- Equity = Br. 100,000
- Assets = Debt + Equity = 0 + Br. 100,000 = Br. 100,000
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0 & 0 & 0 & \text{Br. 100,000} & \text{Br. 100,000} \\ \hline \end{array} \][/tex]
2. Row 2:
- Debt ratio = 0.5
- Equity = Br. 75,000
- Debt = Debt ratio Equity = 0.5 Br. 75,000 = Br. 37,500
- Assets = Debt + Equity = Br. 37,500 + Br. 75,000 = Br. 112,500
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0.5 & 0.5 & \text{Br. 37,500} & \text{Br. 75,000} & \text{Br. 112,500} \\ \hline \end{array} \][/tex]
3. Row 3:
- Debt ratio = 1.5
- Assets = Br. 150,000
- Let equity be [tex]\( x \)[/tex].
- Assets = Debt + Equity
- Given a Debt ratio of 1.5: Debt = 1.5 Equity
- Therefore, Assets = (1.5 Equity) + Equity
- Br. 150,000 = (1.5 Equity) + Equity
- Br. 150,000 = 2.5 Equity
- Equity = Br. 150,000 / 2.5 = Br. 60,000
- Debt = 1.5 Equity = 1.5 Br. 60,000 = Br. 90,000
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 1.5 & 1.5 & \text{Br. 90,000} & \text{Br. 60,000} & \text{Br. 150,000} \\ \hline \end{array} \][/tex]
4. Row 4:
- Let the Debt ratio = [tex]\( x \)[/tex]
- Debt = Br. 50,000
- Assets = Br. 175,000
- Equity = Assets - Debt = Br. 175,000 - Br. 50,000 = Br. 125,000
- Debt ratio = Debt / Assets = Br. 50,000 / Br. 175,000 ≈ 0.2857
Filled row:
[tex]\[ \begin{array}{|c|c|c|c|c|} \hline 0.2857 & 0.2857 & \text{Br. 50,000} & \text{Br. 125,000} & \text{Br. 175,000} \\ \hline \end{array} \][/tex]
### Current Ratio Calculations
Handush spare parts Enterprise has current assets of Br. 60,000 and current liabilities of Br. 30,000.
1. Initial Current Ratio:
[tex]\[ \text{Initial Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} = \frac{Br. 60,000}{Br. 30,000} = 2.0 \][/tex]
2. Transaction Impact Analysis:
- a) Collect Br. 5,000 of accounts receivable in cash:
- Collecting accounts receivable in cash will not change the total amount of current assets.
[tex]\[ \text{Current Ratio_a} = \frac{Br. 60,000}{Br. 30,000} = 2.0 \][/tex]
- b) Purchase Br. 10,000 of inventories on short-term credit:
- Current Assets increase by Br. 10,000
- Current Liabilities increase by Br. 10,000
[tex]\[ \text{Current Ratio_b} = \frac{Current Assets + Br. 10,000}{Current Liabilities + Br. 10,000} = \frac{Br. 60,000 + Br. 10,000}{Br. 30,000 + Br. 10,000} = \frac{Br. 70,000}{Br. 40,000} = 1.75 \][/tex]
- c) Sell Br. 150,000 of fixed assets for cash:
- Current Assets increase by Br. 150,000 (as cash is added)
[tex]\[ \text{Current Ratio_c} = \frac{Current Assets + Br. 150,000}{Current Liabilities} = \frac{Br. 60,000 + Br. 150,000}{Br. 30,000} = \frac{Br. 210,000}{Br. 30,000} = 7.0 \][/tex]
### Summary:
1. Debt equity table:
\begin{array}{|c|c|c|c|c|}
\hline
\text{Ratio} & \text{Debt ratio} & \text{Debt} & \text{Equity} & \text{Assets} \\
\hline
0 & 0 & 0 & \text{Br. 100,000} & \text{Br. 100,000} \\
\hline
0.5 & 0.5 & \text{Br. 37,500} & \text{Br. 75,000} & \text{Br. 112,500} \\
\hline
1.5 & 1.5 & \text{Br. 90,000} & \text{Br. 60,000} & \text{Br. 150,000} \\
\hline
0.2857 & 0.2857 & \text{Br. 50,000} & \text{Br. 125,000} & \text{Br. 175,000} \\
\hline
\end{array}
2. Current Ratio:
\begin{array}{|c|c|}
\hline
\text{Transaction} & \text{Current Ratio} \\
\hline
\text{Initial} & 2.0 \\
\hline
\text{Collect accounts receivable} & 2.0 \\
\hline
\text{Purchase inventories on credit} & 1.75 \\
\hline
\text{Sell fixed assets for cash} & 7.0 \\
\hline
\end{array}
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