The amount the entrepreneur funded from her own savings is:
$470,000 x 40% = $188,000
So the amount funded by the investor is:
$470,000 - $188,000 = $282,000
After three years of operation, the entrepreneur received $13,500 in profits, so her total return is:
$13,500 + $188,000 = $201,500
The investor received $80,000 in profits, so the total return for the investor is:
$80,000 + $282,000 = $362,000
The three-year return on investment for the entrepreneur is the percentage increase in her investment, which is calculated as:
[(total return / initial investment) - 1] x 100
So the three-year return on investment for the entrepreneur is:
[($201,500 / $188,000) - 1] x 100 = 7.08%
Therefore, the three-year return on investment for the entrepreneur is 7.08%.