
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
To celebrate International Labor Day on May 1st, a certain store is preparing to purchase a batch of clothing. After investigation, it was found that the number of items of type $A$ that can be purchased with $1000$ yuan is equal to the number of items of type $B$ that can be purchased with $800$ yuan. The cost of each item of type $A$ is $10$ yuan more than the cost of each item of type $B$. Find the cost of each item of type $B$.

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