A trader purchased 132 dozens of mangoes at Rs.475 per dozen and could sell only 125 dozens at Rs 530 per dozen. What is the value of stock of mangoes in band (in rupees)?

Options

A. 3325
B. 4250
C. 3710
D. 4620

Answer

To find the value of the stock of mangoes in hand, we can follow these steps:

### Step 1: Calculate the total number of dozens purchased
The trader purchased 132 dozens of mangoes.

### Step 2: Calculate the total number of dozens sold
The trader sold 125 dozens of mangoes.

### Step 3: Calculate the number of dozens remaining in stock
To find the remaining stock, subtract the number of dozens sold from the number of dozens purchased:
\[ \text{Remaining stock} = \text{Purchased} - \text{Sold} = 132 - 125 = 7 \text{ dozens} \]

### Step 4: Determine the purchase price per dozen
The purchase price was Rs. 475 per dozen.

### Step 5: Calculate the value of the remaining stock
To find the total value of the remaining stock, multiply the number of dozens remaining by the purchase price per dozen:
\[ \text{Value of stock in hand} = \text{Remaining stock} \times \text{Price per dozen} = 7 \times 475 \]

### Step 6: Perform the multiplication
Calculating the value:
\[ 7 \times 475 = 3325 \]

### Conclusion
The value of the stock of mangoes in hand is Rs. 3325.

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