A man sells a product for Rs 333 with a profit of 10%. What is the cost price of the product ?

Options

A. Rs 290
B. Rs 298
C. Rs 302.72
D. Rs 299.7

Answer

To find the cost price of the product when a man sells it for Rs. 333 with a profit of 10%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit.
The relationship can be expressed as:
\[ \text{Selling Price (SP)} = \text{Cost Price (CP)} + \text{Profit} \]

### Step 2: Express Profit in terms of Cost Price.
Since the profit is given as 10% of the Cost Price, we can write:
\[ \text{Profit} = 10\% \text{ of CP} = \frac{10}{100} \times \text{CP} = 0.1 \times \text{CP} \]

### Step 3: Substitute the Profit in the Selling Price formula.
Now substituting the profit in the SP formula:
\[ \text{SP} = \text{CP} + 0.1 \times \text{CP} \]
\[ \text{SP} = 1.1 \times \text{CP} \]

### Step 4: Rearrange the equation to find Cost Price.
We know that the Selling Price (SP) is Rs. 333, so we can set up the equation:
\[ 333 = 1.1 \times \text{CP} \]

### Step 5: Solve for Cost Price (CP).
To find CP, we rearrange the equation:
\[ \text{CP} = \frac{333}{1.1} \]

### Step 6: Calculate the Cost Price.
Now, performing the division:
\[ \text{CP} = \frac{3330}{11} \]
\[ \text{CP} = 302.7272... \]
Rounding to two decimal places, we get:
\[ \text{CP} \approx 302.73 \]

### Final Answer:
The cost price of the product is approximately Rs. 302.73.

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