
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 a discount of 25% on its products. Following this, there is an additional promotion where the reduced prices are further discounted by 15%. The store advertises that the combined discount makes the products 40% cheaper than the original price. Calculate the true total discount percentage relative to the original price and determine the difference between the true discount and the store's claimed discount.

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