Lagaan is levied on the 40% of the total land in Village Sitapur. The revenue department collected total Rs. 4,48,800 through the lagaan from the village. Hari, a very rich farmer, paid only Rs. 580 as lagaan for his piece of land. The percentage of total land of Hari over the total taxable land of the village (approx) is:

Solution

Given:
– Lagaan is levied on 40% of the total land in Village Sitapur.
– Total lagaan collected from the village is Rs. 4,48,800.
– Hari paid Rs. 580 as lagaan for his piece of land.

Step 1: Find the land corresponding to Rs. 1 of lagaan

If Rs. 4,48,800 is collected from 40% of the total land, then the land corresponding to Rs. 1 of lagaan is:
\[ \frac{0.4x}{448800} \text{ (where } x \text{ is the total land)} \]

Step 2: Calculate the taxable land of Hari

Hari paid Rs. 580 as lagaan, so the taxable land of Hari is:
\[ 580 \times \frac{0.4x}{448800} \]

Step 3: Convert taxable land of Hari to total land of Hari

Since the taxable land is only 40% of the total land, the total land of Hari is:
\[ \frac{100}{40} \times 580 \times \frac{0.4x}{448800} \]

Step 4: Calculate the percentage of Hari’s total land over the total taxable land of the village

The percentage of Hari’s total land over the total taxable land of the village is:
\[ \frac{\frac{100 \times 580 \times 0.4x}{40 \times 448800}}{0.4x} \times 100 = \frac{580 \times 100}{448800} \times 100 \approx 0.323\% \]

Conclusion

The percentage of total land of Hari over the total taxable land of the village is approximately 0.323%.