
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
A farmer bought $900$ sheep. He sold $850$ of them for the price he paid for the $900$ sheep. The remaining $50$ sheep were sold at an increased price of $20\%$ per head compared to the original price. Calculate the percent gain on the entire transaction.
**A)** $10.5\%$  
**B)** $11.11\%$  
**C)** $9.75\%$  
**D)** $12\%$  
**E)** $13\%$

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