Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Let's break this down step-by-step:
### Step 1: Given Values
1. Initial Capital: \[tex]$45,000 2. Creditors: \$[/tex]1,500
3. Stock: \[tex]$2,500 4. Cash at Bank: \$[/tex]3,000
### Step 2: The Balance Sheet Equation
The balance sheet equation states that:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Capital} \][/tex]
In other words:
[tex]\[ \text{Total Assets} = \text{Creditors} + \text{Stock} + \text{Cash at Bank} + \text{Debtors} \][/tex]
### Step 3: Calculate Debtors
We need to find the value of the Debtors to balance the equation. Rearranging the equation to solve for Debtors, we get:
[tex]\[ \text{Debtors} = \text{Initial Capital} - \text{Creditors} - (\text{Stock} + \text{Cash at Bank}) \][/tex]
Substituting the given values:
[tex]\[ \text{Total Assets (Stock + Cash at Bank)} = 2500 + 3000 = \$5500 \][/tex]
Next:
[tex]\[ \text{Debtors} = 45000 - 1500 - 5500 = 45000 - 7000 = \$38,000 \][/tex]
### Step 4: Total Assets Including Debtors
Now, we add the Debtors back to the Total Assets calculated.
[tex]\[ \text{Balance on the Trial Balance} = \text{Stock} + \text{Cash at Bank} + \text{Debtors} \][/tex]
Substituting the values:
[tex]\[ \text{Balance on the Trial Balance} = 2500 + 3000 + 38000 = \$43,500 \][/tex]
### Step 5: Matching Options
1. For the amount of Debtors:
- The correct answer is \[tex]$38,000, but the closest matching options were: - A. \$[/tex]3,000
- B. \[tex]$2,500 - C. \$[/tex]2,000
- D. \[tex]$1,500 - E. \$[/tex]1,000
Since none directly matches \[tex]$38,000, we'll acknowledge that none of the options listed seem to fit Debtors directly. 2. For the balance on the trial balance: - The correct answer is \$[/tex]43,500, but the closest matching options were:
- A. \[tex]$6500 - B. \$[/tex]5000
- C. \[tex]$4500 - D. \$[/tex]3000
- E. \[tex]$1000 The most fitting option among the given choices is C. \$[/tex]4500 (which likely is an error in options given)
### Conclusion
1. The amount of debtors is none of the options given.
2. The balance on the trial balance is \[tex]$43,500 that is closest of the given options C. \$[/tex]4500.
### Step 1: Given Values
1. Initial Capital: \[tex]$45,000 2. Creditors: \$[/tex]1,500
3. Stock: \[tex]$2,500 4. Cash at Bank: \$[/tex]3,000
### Step 2: The Balance Sheet Equation
The balance sheet equation states that:
[tex]\[ \text{Assets} = \text{Liabilities} + \text{Capital} \][/tex]
In other words:
[tex]\[ \text{Total Assets} = \text{Creditors} + \text{Stock} + \text{Cash at Bank} + \text{Debtors} \][/tex]
### Step 3: Calculate Debtors
We need to find the value of the Debtors to balance the equation. Rearranging the equation to solve for Debtors, we get:
[tex]\[ \text{Debtors} = \text{Initial Capital} - \text{Creditors} - (\text{Stock} + \text{Cash at Bank}) \][/tex]
Substituting the given values:
[tex]\[ \text{Total Assets (Stock + Cash at Bank)} = 2500 + 3000 = \$5500 \][/tex]
Next:
[tex]\[ \text{Debtors} = 45000 - 1500 - 5500 = 45000 - 7000 = \$38,000 \][/tex]
### Step 4: Total Assets Including Debtors
Now, we add the Debtors back to the Total Assets calculated.
[tex]\[ \text{Balance on the Trial Balance} = \text{Stock} + \text{Cash at Bank} + \text{Debtors} \][/tex]
Substituting the values:
[tex]\[ \text{Balance on the Trial Balance} = 2500 + 3000 + 38000 = \$43,500 \][/tex]
### Step 5: Matching Options
1. For the amount of Debtors:
- The correct answer is \[tex]$38,000, but the closest matching options were: - A. \$[/tex]3,000
- B. \[tex]$2,500 - C. \$[/tex]2,000
- D. \[tex]$1,500 - E. \$[/tex]1,000
Since none directly matches \[tex]$38,000, we'll acknowledge that none of the options listed seem to fit Debtors directly. 2. For the balance on the trial balance: - The correct answer is \$[/tex]43,500, but the closest matching options were:
- A. \[tex]$6500 - B. \$[/tex]5000
- C. \[tex]$4500 - D. \$[/tex]3000
- E. \[tex]$1000 The most fitting option among the given choices is C. \$[/tex]4500 (which likely is an error in options given)
### Conclusion
1. The amount of debtors is none of the options given.
2. The balance on the trial balance is \[tex]$43,500 that is closest of the given options C. \$[/tex]4500.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.