
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. $A$ owns a home worth $200,000$. He sells it to Mr. $B$ at a $15\%$ profit. Later, Mr. $B$ finds himself needing to move and sells the house back to Mr. $A$ at a $20\%$ loss. Calculate how much gain or loss Mr. $A$ makes through these transactions.
A) A makes a $46,000 profit
B) A makes a $30,000 profit
C) A suffers a $46,000 loss
D) A suffers a $30,000 loss

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