
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
Given the profit from each piece of winter clothing is 25% of the factory price, and the factory price is reduced by 10% in October while the number of pieces sold increases by 80%, find the percentage increase in the total profit from selling this type of winter clothing in October compared to September.

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