
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
At the end of 2002, someone spent 1 million yuan to buy a house, paying 300,000 yuan upfront and taking out a 700,000 yuan commercial loan. The monthly interest rate for the loan was 0.5‰, and it was calculated using compound interest. The loan was to be repaid in equal monthly installments over 10 years, starting from the month following the loan's issuance.

(1) How much must this person repay each month?
(2) To curb high housing prices, the government introduced the "National Five Articles," which require a 20% tax on the profit from selling a house. If this person now sells the house for 1.5 million yuan, and the seller bears the tax on the profit, how much profit does the seller make approximately? (Reference data: $(1+0.005)^{120}\approx1.8$)

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