If books bought at prices ranging from Rs. 200 to Rs. 325 are sold at prices ranging from Rs. 300 to Rs. 450. what is the greatest possible profit that might be made in selling eight books?

Options

A. Rs. 400
B. Rs. 600
C. Cannot be determined
D. Rs. 2000

Answer

To find the greatest possible profit from selling eight books, we can follow these steps:

### Step 1: Determine the Cost Price (CP) of the Books
The cost price of the books is given to be in the range of Rs. 200 to Rs. 325. To maximize profit, we should consider the lowest cost price for purchasing the books.

- **Lowest Cost Price for 8 Books**:
\[ \text{Lowest CP} = 8 \times 200 = 1600 \text{ Rs.} \]

### Step 2: Determine the Selling Price (SP) of the Books
The selling price of the books is given to be in the range of Rs. 300 to Rs. 450. To maximize profit, we should consider the highest selling price for selling the books.

- **Highest Selling Price for 8 Books**:
\[ \text{Highest SP} = 8 \times 450 = 3600 \text{ Rs.} \]

### Step 3: Calculate the Greatest Possible Profit
The profit can be calculated by subtracting the total cost price from the total selling price.

- **Greatest Possible Profit**:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} = 3600 - 1600 = 2000 \text{ Rs.} \]

### Conclusion
The greatest possible profit that might be made in selling eight books is Rs. 2000.

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