Note-books are boughtat 16 for ₹700 and sold at 11 for ₹500. How many notebooks should be sold to gain ₹450?

Options

A. 272
B. 260
C. 254
D. 264

Answer

To solve the problem of how many notebooks should be sold to gain ₹450, we will follow these steps:

### Step 1: Calculate the Cost Price (CP) of One Notebook
The cost price for 16 notebooks is ₹700. Therefore, the cost price for one notebook (CP) can be calculated as:

\[ CP = \frac{700}{16} = 43.75 \text{ (approximately)} \]

### Step 2: Calculate the Selling Price (SP) of One Notebook
The selling price for 11 notebooks is ₹500. Therefore, the selling price for one notebook (SP) can be calculated as:

\[ SP = \frac{500}{11} \approx 45.45 \text{ (approximately)} \]

### Step 3: Calculate the Profit for One Notebook
Profit for one notebook can be calculated using the formula:

\[ \text{Profit} = SP - CP \]

Substituting the values we calculated:

\[ \text{Profit} = 45.45 - 43.75 = 1.70 \text{ (approximately)} \]

### Step 4: Determine the Number of Notebooks to Sell for a Profit of ₹450
To find out how many notebooks need to be sold to achieve a profit of ₹450, we can use the formula:

\[ \text{Number of Notebooks} = \frac{\text{Desired Profit}}{\text{Profit per Notebook}} \]

Substituting the values:

\[ \text{Number of Notebooks} = \frac{450}{1.70} \approx 264.71 \]

Since we cannot sell a fraction of a notebook, we will round this up to the nearest whole number:

\[ \text{Number of Notebooks} = 265 \]

### Final Answer
To gain ₹450, **265 notebooks** should be sold.

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