
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 shop offers a sale of $25\%$ off on its products. Subsequently, the shop introduces an additional $15\%$ discount on the reduced prices and claims that the combined discount equals $40\%$ off the original price. Calculate, as a percentage of the original price, the difference between the actual combined discount and the claimed discount by the shop.

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