Certainly! Let's break down the solution step-by-step:
### Given:
- The cost of [tex]\(\frac{3}{5}\)[/tex] parts of the land is Rs 36,000.
### Part (i):
Find the cost of the whole land.
To find the total cost of the land, we need to determine what 1 whole part (5/5) would cost if [tex]\(\frac{3}{5}\)[/tex] parts cost Rs 36,000.
We can set up the relationship:
[tex]\[
\text{Cost of } \frac{3}{5} \text{ parts} = 36000
\][/tex]
To find the cost of [tex]\(\frac{1}{5}\)[/tex] part, we divide the known cost (36,000) by 3:
[tex]\[
\text{Cost of } \frac{1}{5} \text{ part} = \frac{36000}{3} = 12000
\][/tex]
Then, to find the cost of the whole land (which is 5 parts), we multiply the cost of [tex]\(\frac{1}{5}\)[/tex] part by 5:
[tex]\[
\text{Cost of the whole land} = 12000 \times 5 = 60000
\][/tex]
So, the cost of the entire land is Rs 60,000.
### Part (ii):
Find the cost of [tex]\(\frac{2}{3}\)[/tex] parts of the land.
Now that we know the total cost of the whole land is Rs 60,000, we need to find what [tex]\(\frac{2}{3}\)[/tex] parts of this total land would cost.
We can set up the ratio:
[tex]\[
\text{Cost of } \frac{2}{3} \text{ parts} = \frac{2}{3} \times \text{Total cost}
\][/tex]
Substitute the known total cost (60,000):
[tex]\[
\text{Cost of } \frac{2}{3} \text{ parts} = \frac{2}{3} \times 60000 = 40000
\][/tex]
So, the cost of [tex]\(\frac{2}{3}\)[/tex] parts of the land is Rs 40,000.
