
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 costs $a$ yuan per unit. Originally, the selling price was set at a $20\%$ markup over cost, but now due to overstock, it is being sold at $90\%$ of the selling price.<br/>$(1)$ The current selling price of the item is ______ yuan? (Write down the result directly, expressed in terms of $a$)<br/>$(2)$ How much profit is made by selling 1000 units of this item? (Express your answer in terms of $a$)

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