
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Mr. A starts with $\textdollar 15000$ and a house, while Mr. B starts with $\textdollar 20000$. Initially, the house is valued at $\textdollar 15000$. Mr. A sells the house to Mr. B for $\textdollar 20000$. Later, the house's value decreases by 15%, and then Mr. B sells the house back to Mr. A for its depreciated value.
A) Mr. A gains $\textdollar{5000}$; Mr. B loses $\textdollar{7250}$
B) Mr. A gains $\textdollar{6500}$; Mr. B loses $\textdollar{6500}$
C) No change in money for Mr. A and Mr. B
D) Mr. A loses $\textdollar{5000}$; Mr. B gains $\textdollar{7250}$

Present the answer in LaTex format: \boxed{Your answer}
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