To resolve the question, we need to understand the relationship between assets, total liabilities and capital.
Capital is the value of the investment in the business by the owner.
Liabilities are the debts owed by the firm
The relationship below can be used to calculate the answer
We can then apply the formula
![\begin{gathered} \text{Assets}-\text{liabilities}-\text{capital=0} \\ \text{capital=Assets-Liabilities} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/96dpir9pxa69hdrjiz7nxv127csvq3lpbr.png)
The given values are
![\begin{gathered} \text{Assets}=\text{ +\$10000} \\ \text{Liabilities =- \$10000 (Because it decreases)} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/icu4ajrxzpbz9xwgkmq3uz4md1a820tjxj.png)
Hence, the capital will be
![\begin{gathered} \text{Capital= 10000-(-10000)} \\ \text{Capital= \$10000+ \$10000} \\ \text{Capital= \$20000} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ducg6kckrs8x0405az0zukxi9vpzozf15t.png)
This means that the capital will increase by $20,000