
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
The purchase price of a certain commodity is $a$ yuan per item, and the retail price is 1100 yuan per item. The store sells it at a discount of 80% of the retail price and still makes a profit of 10% (relative to the purchase price). Find the value of $a$.

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