
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 certain item has a retail price of $900$ yuan per unit. In order to adapt to market competition, a store decides to reduce the price by $10\%$ and offer a discount of $48$ yuan, while still making a profit of $20\%$. What is the cost price of this item per unit?

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