
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
Solve the fractional equation application problem:<br/>A certain shopping mall sells a certain item. In the first month, the selling price of this item is the cost price plus a $20\%$ markup, resulting in a profit of $6000$ yuan. In the second month, the shopping mall held a promotion, and the selling price of the item was increased by $10\%$ over the cost price. The sales volume in the second month increased by $100$ items compared to the first month, and the shopping mall made an additional profit of $2000$ yuan in the second month compared to the first month. What is the cost price of this item? How many items were sold in the second month?

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