Prasad bought 12 TV sets at Rs. 18,000 each and sold all of them at a total price of Rs. 2, 59, 200 . Find his profit or loss percentage

Options

A. Profit 15 %
B. Loss 15%
C. Loss 20%
D. Profit 20%

Answer

To solve the problem, we need to calculate the total cost price, the total selling price, and then determine the profit or loss percentage.

### Step 1: Calculate the Total Cost Price (CP)
Prasad bought 12 TV sets at Rs. 18,000 each.

\[ \text{Total Cost Price (CP)} = \text{Number of TV sets} \times \text{Cost Price per TV set} \]
\[ \text{Total CP} = 12 \times 18,000 = 216,000 \]

### Step 2: Identify the Total Selling Price (SP)
The total selling price is given as Rs. 2,59,200.

\[ \text{Total Selling Price (SP)} = 2,59,200 \]

### Step 3: Calculate Profit or Loss
To find out if there is a profit or loss, we subtract the total cost price from the total selling price.

\[ \text{Profit or Loss} = \text{Total SP} - \text{Total CP} \]
\[ \text{Profit or Loss} = 2,59,200 - 2,16,000 = 43,200 \]

Since the result is positive, Prasad made a profit of Rs. 43,200.

### Step 4: Calculate Profit Percentage
To find the profit percentage, we use the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{43,200}{2,16,000} \right) \times 100 \]
\[ \text{Profit Percentage} = 0.2 \times 100 = 20\% \]

### Final Answer
Prasad's profit percentage is **20%**.

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