Lagaan is levied on the `60%`of the cultivated land. The revenue department collected total₹3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer, paid only ₹480 as lagaan. The percentage of total land of Sukhiya over the total taxable land taxable land of the village is :

Options

A. A)`0.15%`
B. B)`15%`
C. C)`0.125%
D. D)none of these

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Understand the information given
We know that:
- Lagaan is levied on 60% of the cultivated land.
- The total revenue collected from lagaan is ₹3,84,000.
- Sukhiya, a farmer, paid ₹480 as lagaan.

### Step 2: Calculate the total taxable land of the village
Since lagaan is collected from 60% of the cultivated land, we can find the total taxable land (T) of the village using the total revenue collected.

Let’s denote the total taxable land as T. The lagaan collected from T is given as ₹3,84,000.

The lagaan per unit of land can be calculated as:
\[ \text{Lagaan per unit} = \frac{\text{Total Revenue}}{\text{Total Taxable Land}} \]

### Step 3: Calculate the lagaan per unit of land
The total lagaan collected is ₹3,84,000, and this is for 60% of the total land. Therefore, we can express it as:
\[ \text{Lagaan per unit} = \frac{3,84,000}{0.6 \cdot T} \]

### Step 4: Find the total taxable land (T)
We know that Sukhiya paid ₹480 as lagaan. Since this is also based on the lagaan per unit, we can set up the equation:
\[ 480 = \frac{3,84,000}{0.6 \cdot T} \cdot \text{Land of Sukhiya} \]

Let’s denote the land of Sukhiya as L. Since lagaan is levied on 60% of the land, we can express L as:
\[ L = \frac{480}{\text{Lagaan per unit}} \]

### Step 5: Calculate the land of Sukhiya
From the previous steps, we can rearrange to find L:
\[ L = \frac{480 \cdot 0.6 \cdot T}{3,84,000} \]

### Step 6: Calculate the percentage of Sukhiya's land over total taxable land
Now we need to find the percentage of Sukhiya's land over the total taxable land:
\[ \text{Percentage} = \left( \frac{L}{T} \right) \times 100 \]

### Step 7: Substitute and calculate
Substituting L from above:
\[ \text{Percentage} = \left( \frac{480 \cdot 0.6 \cdot T}{3,84,000 \cdot T} \right) \times 100 \]

This simplifies to:
\[ \text{Percentage} = \left( \frac{480 \cdot 0.6}{3,84,000} \right) \times 100 \]

### Step 8: Calculate the final value
Calculating the above expression:
1. Calculate \( 480 \cdot 0.6 = 288 \)
2. Now calculate \( \frac{288}{3,84,000} \)
3. Finally, multiply by 100 to get the percentage.

Calculating:
\[ \frac{288}{3,84,000} \approx 0.00075 \]
\[ 0.00075 \times 100 = 0.075\% \]

### Conclusion
The percentage of total land of Sukhiya over the total taxable land of the village is approximately **0.075%**.