
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 is advertising goods at a discount of 30% off the original price. Subsequently, they apply an additional 15% discount on the already reduced prices and then incorrectly advertises that the items are now 45% off the original price. What is the actual percentage discount from the original price, and how much is the difference between this actual discount and the store's claimed discount?

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