
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
Given a retailer buys clothing items at a discount of $30\%$ of the retail price and to earn a profit of $30\%$ on the final selling price, calculate the percent of the retail price that the retailer should mark up the products such that a discount of $10\%$ of the marked price can be offered on sale.

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