Veenu purchased two types of wheat, one costing Rs. 20 per kg and the other Rs. 25 per kg in quantities having ratio `5:4` He mixed the two and sold the mixture at Rs. 24 per kg. In the transaction he got

Options

A. `2%` loss
B. `2%` gain
C. `8%` gain
D. `8%` loss

Answer

To solve the problem, we will follow these steps:

### Step 1: Determine the quantities of each type of wheat
Let the quantity of the first type of wheat (costing Rs. 20 per kg) be \(5x\) kg and the quantity of the second type of wheat (costing Rs. 25 per kg) be \(4x\) kg.

### Step 2: Calculate the cost of each type of wheat
- The cost of the first type of wheat:
\[ \text{Cost of first type} = 5x \times 20 = 100x \text{ Rs.} \]

- The cost of the second type of wheat:
\[ \text{Cost of second type} = 4x \times 25 = 100x \text{ Rs.} \]

### Step 3: Calculate the total cost of the mixture
The total cost of the mixture is the sum of the costs of both types of wheat:
\[ \text{Total Cost} = 100x + 100x = 200x \text{ Rs.} \]

### Step 4: Calculate the total quantity of the mixture
The total quantity of the mixture is:
\[ \text{Total Quantity} = 5x + 4x = 9x \text{ kg.} \]

### Step 5: Calculate the selling price of the mixture
Veenu sold the mixture at Rs. 24 per kg. Therefore, the total selling price is:
\[ \text{Total Selling Price} = 24 \times 9x = 216x \text{ Rs.} \]

### Step 6: Calculate the profit
Profit is calculated as the difference between the total selling price and the total cost:
\[ \text{Profit} = \text{Total Selling Price} - \text{Total Cost} = 216x - 200x = 16x \text{ Rs.} \]

### Step 7: Conclusion
Thus, the profit Veenu made from the transaction is \(16x\) Rs.

---