What is the calculated value of the land if a property is valued at $150,000 and has a land to building ratio of 1:4?

To determine the calculated value of the land based on the provided property value and land to building ratio, you start by understanding the components of the ratio. In a land to building ratio of 1:4, this means for every 1 part of land, there are 4 parts of the building.

First, you can think of the total value of the property as being made up of 1 part land and 4 parts building, which together make 5 parts in total. Given that the overall value of the property is $150,000, you can calculate the value of one part by dividing the total value by the total number of parts:

[

\text{Total Value} = 1 , (\text{land}) + 4 , (\text{building}) = 5 \text{ parts}

]

Now, dividing the total property value by the total number of parts gives:

[

\text{Value per part} = \frac{150,000}{5} = 30,000

]

Since the land accounts for 1 part, the calculated value of the land is $30,000.

This result directly aligns with the choice given, confirming that the correct answer