The term mortgage refers to a loan used to purchase or maintain a home, land, or other types of real estate.
A mortgage is a loan – provided by a mortgage lender or a bank – that enables an individual to purchase a home or property. While it’s possible to take out loans to cover the entire cost of a home, it’s more common to secure a loan for about 80% of the home’s value.
We are told that the cost of the home is $400,000
Since a down payment is 20%
Let the whole cost of the home be in terms of percentage, this will be = 100%
Then the Mortgage will be
![100\text{ \%-downpayment}](https://img.qammunity.org/2023/formulas/mathematics/high-school/qpf3gagfqo1rzbuavlw57di0ernc5zet5i.png)
![100\text{ \%-20\%=80\%}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ids5zzojeiyia12w0q2oj9jfnigbtxzsv2.png)
Thus, the mortgage amount will be
![\begin{gathered} 80\text{ \%}*400,000 \\ =(80)/(100)*400,000 \\ =\text{ \$320,000} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/7ic2063fuard202wot5h27x6d0nuhooppy.png)