If a person sells a pen drive for ₹3192, making a profit of 33%, then the cost price (in ₹) 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 the selling price and profit percentage, we can follow these steps:

### Step 1: Identify the given values
- Selling Price (SP) = ₹3192
- Profit Percentage (P%) = 33%

### Step 2: Understand the relationship between Selling Price, Cost Price, and Profit
The formula to calculate Selling Price when the Cost Price (CP) and Profit Percentage are known is:
\[ SP = CP + (P\% \times CP) \]
This can be rewritten as:
\[ SP = CP \times \left(1 + \frac{P\%}{100}\right) \]

### Step 3: Substitute the known values into the formula
Substituting the values we have:
\[ 3192 = CP \times \left(1 + \frac{33}{100}\right) \]
This simplifies to:
\[ 3192 = CP \times \left(\frac{133}{100}\right) \]

### Step 4: Solve for Cost Price (CP)
To isolate CP, we rearrange the equation:
\[ CP = \frac{3192 \times 100}{133} \]

### Step 5: Calculate the Cost Price
Now we perform the calculation:
1. Multiply 3192 by 100:
\[ 3192 \times 100 = 319200 \]
2. Divide by 133:
\[ CP = \frac{319200}{133} \]
Performing the division:
\[ CP = 2400 \]

### Conclusion
The Cost Price of the pen drive is ₹2400.

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