
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 type of electrical product, if sold at a discount of $20\%$ of the original price, will make a profit of $120$ yuan; if sold at a discount of $40\%$ of the original price, it will incur a loss of $20$ yuan. The cost price of each unit of this product is ______ yuan.

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