Field Measurement and Crop Revenue
A Patwari measures three adjoining plots during a field verification. Plot A is a trapezium with parallel sides 40 m and 60 m, and the perpendicular distance between them is 25 m. Plot B is rectangular, 30 m by 45 m. Plot C is triangular with base 36 m and height 20 m. The three plots are to be recorded as one consolidated holding. The local revenue rate is ₹1,800 per hectare for irrigated land and ₹1,200 per hectare for rainfed land. Only Plot B has assured irrigation; Plots A and C are rainfed. The farmer has grown wheat on Plot B with an expected yield of 2.4 tonnes per hectare and a market price of ₹2,250 per quintal. Harvesting and transport costs are ₹9,000 per hectare. The farmer also claims a 10% rebate for prompt payment of land revenue.
1. Calculate the total area of the consolidated holding in hectares, and the irrigated and rainfed areas separately.
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Area A = ½ × (40 + 60) × 25 = ½ × 100 × 25 = 1,250 m². Area B = 30 × 45 = 1,350 m². Area C = ½ × 36 × 20 = 360 m². Total = 1,250 + 1,350 + 360 = 2,960 m². Since 1 hectare = 10,000 m², total = 0.296 ha. Irrigated area = Plot B = 1,350 m² = 0.135 ha. Rainfed area = Plots A + C = 1,250 + 360 = 1,610 m² = 0.161 ha. Check: 0.135 + 0.161 = 0.296 ha.
2. Compute the land revenue before and after the 10% rebate.
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Revenue on irrigated Plot B = 0.135 ha × ₹1,800/ha = ₹243. Revenue on rainfed plots = 0.161 ha × ₹1,200/ha = ₹193.20. Total revenue before rebate = ₹243 + ₹193.20 = ₹436.20. Rebate = 10% of ₹436.20 = ₹43.62. Revenue after rebate = ₹436.20 − ₹43.62 = ₹392.58. The Patwari should record the rates plot-wise, not apply a single rate to the whole holding, because only Plot B is irrigated.
3. Calculate the net income from wheat on Plot B.
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Wheat production = 0.135 ha × 2.4 tonnes/ha = 0.324 tonnes. Convert to quintals: 0.324 × 10 = 3.24 quintals. Gross income = 3.24 quintals × ₹2,250/quintal = ₹7,290. Harvesting and transport cost = 0.135 ha × ₹9,000/ha = ₹1,215. Net income = ₹7,290 − ₹1,215 = ₹6,075. The calculation uses the irrigated area only, because wheat was grown on Plot B. If the farmer's claimed yield is checked by crop-cutting, the Patwari should use the verified yield, not the expected figure.