
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 store offers an initial discount of 40% on all its products. Subsequently, it gives an additional discount of 10% on the already discounted prices. The store advertises that the final price of the products is 55% off the original price. What is the difference, as a percentage of the original price, between the true discount and the store's claimed discount?

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