A businessman purchased 30TV sets in Rs300000. If the average cost of 15TV sets is Rs9000, then find out the average cost of remaining TV sets.

Options

A. 20000
B. 12000
C. 11000
D. 10000

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the total cost of the 30 TV sets.
The businessman purchased 30 TV sets for a total of Rs. 300,000.

### Step 2: Calculate the total cost of the first 15 TV sets.
Given that the average cost of 15 TV sets is Rs. 9,000, we can find the total cost of these 15 sets by multiplying the average cost by the number of sets:
\[ \text{Total cost of 15 TV sets} = \text{Average cost} \times \text{Number of sets} = 9000 \times 15 = 135000 \]

### Step 3: Calculate the total cost of the remaining TV sets.
To find the total cost of the remaining 15 TV sets, we subtract the total cost of the first 15 TV sets from the total cost of all 30 TV sets:
\[ \text{Total cost of remaining TV sets} = \text{Total cost of all TV sets} - \text{Total cost of first 15 TV sets} = 300000 - 135000 = 165000 \]

### Step 4: Calculate the average cost of the remaining TV sets.
Now, we can find the average cost of the remaining 15 TV sets by dividing the total cost of the remaining TV sets by the number of remaining sets:
\[ \text{Average cost of remaining TV sets} = \frac{\text{Total cost of remaining TV sets}}{\text{Number of remaining TV sets}} = \frac{165000}{15} = 11000 \]

### Final Answer:
The average cost of the remaining TV sets is Rs. 11,000.

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