
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
The price of a new video game is $\$60$. The store is offering a discount of $\$10$ and a $25\%$ discount. A savvy buyer wants to know which order of applying the discounts will save him more money. Calculate the difference in savings between the two methods of applying the discounts, and express the answer in cents.

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