
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 that a farmer bought $800$ sheep and sold $750$ of them for the price he paid for all $800$ sheep, while the remaining $50$ sheep were sold at $10\%$ higher price per head than the first $750$, calculate the percent gain on the entire transaction.

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