A shopkeeper has announced 40% rebate on the price of TV sets at the time of sale. If a purchaser needs to have a rebate of Rs. 26,400, then how many TV sets each costing ₹6,000 should he purchase?

Options

A. 9
B. 11
C. 8
D. 12

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the discount percentage
The shopkeeper is offering a 40% rebate on the price of TV sets. This means that if the original price (market price) of a TV is ₹6000, the discount on it would be:
\[ \text{Discount} = 40\% \text{ of } 6000 = \frac{40}{100} \times 6000 = 2400 \]

### Step 2: Calculate the selling price after the discount
The selling price after the discount can be calculated as:
\[ \text{Selling Price} = \text{Market Price} - \text{Discount} = 6000 - 2400 = 3600 \]

### Step 3: Determine the total rebate needed
The purchaser needs a total rebate of ₹26,400.

### Step 4: Calculate how many TV sets are needed to achieve the desired rebate
Since the discount on one TV set is ₹2400, we can find out how many TV sets need to be purchased to achieve a total rebate of ₹26,400:
\[ \text{Number of TV sets} = \frac{\text{Total Rebate}}{\text{Discount per TV}} = \frac{26400}{2400} \]

### Step 5: Perform the division
Now, let's calculate:
\[ \frac{26400}{2400} = 11 \]

### Conclusion
The purchaser needs to buy **11 TV sets** to achieve a rebate of ₹26,400.

### Final Answer
The answer is **11**.

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