
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 promotion on a selected range of products, initially giving a discount of 25%. Later, an additional 15% discount is applied to the already reduced prices. The store advertises that the final sale price is 40% off the original price. What is the actual percentage discount obtained by a customer, and how does it differ from the store's claimed discount?

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