If a persons sells a pen drive for Rs. 3192, making a profit of `33%` then the cost price (in Rs.) of the pen drive is :

Options

A. 2400
B. 2800
C. 2750
D. 3000

Answer

To find the cost price of the pen drive given that it is sold for Rs. 3192 with a profit of 33%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit Percentage
The profit percentage is given as 33%. This means that if the cost price is 100%, the selling price will be 100% + 33% = 133%.

### Step 2: Set up the equation
Let the cost price (CP) be represented as 100 units. Therefore, the selling price (SP) can be represented as 133 units. We know that:
- SP = 133% of CP

### Step 3: Substitute the known selling price
From the question, we know that the selling price (SP) is Rs. 3192. We can set up the equation:
\[ 133 \text{ units} = 3192 \text{ Rs.} \]

### Step 4: Find the value of 1 unit
To find the value of 1 unit, we divide the selling price by 133:
\[ 1 \text{ unit} = \frac{3192}{133} \]

### Step 5: Calculate the value of 1 unit
Now, we perform the division:
\[ 1 \text{ unit} = 24 \text{ Rs.} \]

### Step 6: Calculate the cost price
Since the cost price is represented as 100 units, we can find the cost price by multiplying the value of 1 unit by 100:
\[ \text{CP} = 100 \times 24 = 2400 \text{ Rs.} \]

### Conclusion
Thus, the cost price of the pen drive is Rs. 2400.

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