A farmer has a rectangular field which measures 350 m by 240 m. He hopes that by sowing a variety of wheat, the yield will be 25 quintals per hectare. And it will sell in the market at Rs. 160 per quintal. What will be his expected income ?

Answer

To find the expected income of the farmer from his rectangular field, we will follow these steps:

### Step 1: Calculate the Area of the Rectangular Field
The area \( A \) of a rectangle is given by the formula:
\[ A = \text{Length} \times \text{Breadth} \]
Given:
- Length = 350 m
- Breadth = 240 m

Calculating the area:
\[ A = 350 \, \text{m} \times 240 \, \text{m} = 84000 \, \text{m}^2 \]

### Step 2: Convert the Area from Square Meters to Hectares
1 hectare is equal to 10,000 square meters. To convert the area from square meters to hectares, we use the formula:
\[ \text{Area in hectares} = \frac{\text{Area in m}^2}{10000} \]
Calculating the area in hectares:
\[ \text{Area in hectares} = \frac{84000 \, \text{m}^2}{10000} = 8.4 \, \text{hectares} \]

### Step 3: Calculate the Total Yield in Quintals
The yield is given as 25 quintals per hectare. To find the total yield, we multiply the area in hectares by the yield per hectare:
\[ \text{Total yield} = \text{Area in hectares} \times \text{Yield per hectare} \]
Calculating the total yield:
\[ \text{Total yield} = 8.4 \, \text{hectares} \times 25 \, \text{quintals/hectare} = 210 \, \text{quintals} \]

### Step 4: Calculate the Expected Income
The selling price is given as Rs. 160 per quintal. To find the expected income, we multiply the total yield by the selling price:
\[ \text{Expected Income} = \text{Total yield} \times \text{Selling price per quintal} \]
Calculating the expected income:
\[ \text{Expected Income} = 210 \, \text{quintals} \times 160 \, \text{Rs/quintal} = 33600 \, \text{Rs} \]

### Final Answer
The expected income of the farmer from his rectangular field is Rs. 33,600.

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