MHB Investment Decisions: Help w/ Questions 3-6 Needed

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The discussion centers on investment decisions, specifically seeking assistance with questions 3 to 6 after establishing a $50,000 investment and a 17.27% return for earlier questions. The user outlines their financial scenario, including expenses of $125,000, revenues of $200,000 and $300,000, and a potential sale price of $400,000. There is confusion regarding the initial purchase amount of $510,074.04, which is perceived as an odd figure. The conversation emphasizes the need for clarity in financial calculations and decision-making. Understanding these figures is crucial for making informed investment choices.
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So far, I have $50,000 for question 1 and 17.27% for question 2. Can someone please help me with question 3 to 6? Thank you!
 

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You are using nice round amounts:
expenses 125,000
revenue 200,000 and 300,000
sell for 400,000

...But start off with purchase of 510,074.04 !

Why is purchase such a silly amount ?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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