
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 high-end fruit wholesaler finds that if they make a profit of 10 yuan per kilogram, they can sell 500 kilograms per day. Market research has shown that, with the purchase price remaining the same, if the price per kilogram is increased by 1 yuan, the daily sales volume will decrease by 20 kilograms. Now, the wholesaler wants to ensure a daily profit of 6000 yuan while also providing value to customers. How much should the price per kilogram be increased?

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