To determine the adjusted capital as of December 31, 2007, we need to consider the initial capital, the net loss, the drawings, and any additional capital introduced during the period. Let's break this down step-by-step.
Step-by-Step Calculation
- Initial Capital:
-
The initial capital as of January 1, 2007, is given as #35,000.
-
Drawings:
-
Drawings represent the amount taken out of the business by the owner for personal use. In this case, the drawings amount to #3,500. This amount reduces the capital because it is money taken out of the business.
-
Net Loss:
-
A net loss of #2,500 indicates that the business incurred more expenses than income during the year. This loss also reduces the capital.
-
Additional Capital:
- The owner introduced additional capital of #10,000 into the business. This amount increases the capital.
Adjusted Capital Calculation
Now, we can calculate the adjusted capital using the following formula:
[
\text{Adjusted Capital} = \text{Initial Capital} - \text{Drawings} - \text{Net Loss} + \text{Additional Capital}
]
Substituting the values we have:
[
\text{Adjusted Capital} = 35,000 - 3,500 - 2,500 + 10,000
]
Now, let's perform the calculations step-by-step:
-
Subtract Drawings:
[
35,000 - 3,500 = 31,500
]
-
Subtract Net Loss:
[
31,500 - 2,500 = 29,000
]
-
Add Additional Capital:
[
29,000 + 10,000 = 39,000
]
Thus, the adjusted capital as of December 31, 2007, is
#39,000.
Explanation of Options
-
Option A: #45,000: This option is incorrect because it does not account for the drawings and the net loss. It seems to assume that the additional capital was added without considering the losses and withdrawals.
-
Option B: #39,000: This is the correct answer. It accurately reflects the calculations made by considering all factors affecting the capital.
-
Option C: #35,000: This option ignores the impact of the drawings and the net loss. It simply restates the initial capital without any adjustments.
-
Option D: #46,000: This option is also incorrect as it seems to add the additional capital without deducting the drawings and the net loss, leading to an inflated capital figure.
Common Pitfalls
-
Ignoring Drawings: Students often forget to deduct drawings from the capital, which can lead to an overstatement of the adjusted capital.
-
Not Accounting for Net Loss: Failing to consider the net loss can also result in an incorrect calculation, as it reduces the overall capital.
-
Misunderstanding Additional Capital: Some may confuse additional capital as a mere increase without recognizing that it must be netted against losses and withdrawals.
Revision Summary
- Adjusted capital is calculated by starting with initial capital, subtracting drawings and net losses, and adding any additional capital.
- The formula to remember is:
[
\text{Adjusted Capital} = \text{Initial Capital} - \text{Drawings} - \text{Net Loss} + \text{Additional Capital}
]
- Always ensure to account for all components affecting capital to avoid common pitfalls.
- The correct adjusted capital in this scenario is #39,000.