A farmer sells wheat . He mixes the two types of wheat he grows . 30 kg of the first group costs him Rs 900 and 20 kg of the other group costs him Rs 1100 . At what price per kg should he sell the mixture so as to earn 25% on his average cost ?

Options

A. Rs 40
B. Rs 42
C. Rs 50
D. Rs 48

Answer

To solve the problem step by step, we will first calculate the average cost of the wheat mixture and then determine the selling price required to achieve a 25% profit.

### Step 1: Calculate the total cost of each type of wheat.
- The cost of the first type of wheat (30 kg) is Rs. 900.
- The cost of the second type of wheat (20 kg) is Rs. 1100.

### Step 2: Calculate the total cost of the mixture.
Total cost = Cost of first type + Cost of second type
Total cost = Rs. 900 + Rs. 1100 = Rs. 2000

### Step 3: Calculate the total weight of the mixture.
Total weight = Weight of first type + Weight of second type
Total weight = 30 kg + 20 kg = 50 kg

### Step 4: Calculate the average cost per kg of the mixture.
Average cost per kg = Total cost / Total weight
Average cost per kg = Rs. 2000 / 50 kg = Rs. 40 per kg

### Step 5: Calculate the selling price to achieve a 25% profit.
To find the selling price for a 25% profit, we can use the formula:
Selling Price = Cost Price + Profit
Profit = 25% of Cost Price
Profit = 25% of Rs. 40 = (25/100) * 40 = Rs. 10

Now, add the profit to the cost price:
Selling Price = Cost Price + Profit
Selling Price = Rs. 40 + Rs. 10 = Rs. 50

### Conclusion:
The farmer should sell the mixture at Rs. 50 per kg to earn a 25% profit on his average cost.

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