Sure, let's break this problem down step-by-step to find the cost of [tex]\(\frac{7}{20}\)[/tex] of the plot, given that [tex]\(\frac{3}{5}\)[/tex] of the plot costs ₹ 75120.
### Step 1: Determine the Cost of the Whole Plot
We know that [tex]\(\frac{3}{5}\)[/tex] of the plot costs ₹ 75120. To find the cost of the whole plot, we need to determine what [tex]\(\frac{5}{5}\)[/tex] (or the entire plot) would cost.
Given:
[tex]\[
\frac{3}{5} \text{ of the plot costs } ₹ 75120
\][/tex]
Let the total cost of the plot be [tex]\( C \)[/tex].
From the problem, we can write:
[tex]\[
\frac{3}{5} C = ₹ 75120
\][/tex]
To find [tex]\( C \)[/tex], we solve for [tex]\( C \)[/tex]:
[tex]\[
C = \frac{75120}{\frac{3}{5}} = 75120 \times \frac{5}{3} = 125200
\][/tex]
Therefore, the total cost of the whole plot [tex]\( ( C ) \)[/tex] is ₹ 125200.
### Step 2: Determine the Cost of [tex]\(\frac{7}{20}\)[/tex] of the Plot
Now, we need to find how much [tex]\(\frac{7}{20}\)[/tex] of the plot would cost.
Given:
[tex]\[
\text{Total cost of the plot } = ₹ 125200
\][/tex]
We need to find the cost of [tex]\(\frac{7}{20}\)[/tex] of the plot:
[tex]\[
\text{Cost of } \frac{7}{20} \text{ of the plot} = \frac{7}{20} \times C
\][/tex]
Substituting the total cost [tex]\( C = ₹ 125200 \)[/tex]:
[tex]\[
\text{Cost} = \frac{7}{20} \times 125200 = 7 \times \frac{125200}{20} = 7 \times 6260 = 43820
\][/tex]
Thus, the cost of [tex]\(\frac{7}{20}\)[/tex] of the plot is ₹ 43820.
