If books bought at price from Rs. 150 to Rs. 300 are sold at prices ranging from Rs. 250 to Rs. 350. What is the greatest possible profit that can made in selling 15 books?

Answer

To find the greatest possible profit from selling 15 books, we will follow these steps:

### Step 1: Identify the Cost Price (CP) Range
The cost price of the books ranges from Rs. 150 to Rs. 300. To maximize profit, we will consider the minimum cost price.
- **Minimum CP = Rs. 150**

### Step 2: Identify the Selling Price (SP) Range
The selling price of the books ranges from Rs. 250 to Rs. 350. To maximize profit, we will consider the maximum selling price.
- **Maximum SP = Rs. 350**

### Step 3: Calculate Profit per Book
Profit is calculated as the difference between the selling price and the cost price.
- **Profit per book = SP - CP**
- **Profit per book = Rs. 350 - Rs. 150 = Rs. 200**

### Step 4: Calculate Total Profit for 15 Books
To find the total profit from selling 15 books, we multiply the profit per book by the number of books sold.
- **Total Profit = Profit per book × Number of books**
- **Total Profit = Rs. 200 × 15 = Rs. 3000**

### Final Answer
The greatest possible profit that can be made in selling 15 books is **Rs. 3000**.

---