Solution:
Loan amount = $90,000
Given that this loan is 75% of purchase price of the new home.
We are required to to determine the amount paid for the home.
Let the amount paid for the home be x
[tex]\begin{gathered} From\text{ the information given, } \\ 75\text{ \% of x = 90,000} \\ \frac{75}{100}x=90,000 \\ 0.75x=90,000 \\ x=\frac{90000}{0.75} \\ x=120,000 \end{gathered}[/tex]The amount she paid for the home is $120,000 (Dollars)