A man sold an article for `"Rs. 396"` and gained `10%` on it. Find cost price of the article.

Options

A. `"Rs 380"`
B. `"Rs 340"`
C. `"Rs 370"`
D. `"Rs 360"`

Answer

To find the cost price of the article sold by the man, we can follow these steps:

### Step 1: Define the variables
Let the cost price of the article be denoted as \( X \).

### Step 2: Understand the selling price and gain percentage
The selling price (SP) of the article is given as Rs. 396, and the gain percentage is 10%. This means that the selling price is 10% more than the cost price.

### Step 3: Set up the equation
Since the selling price is equal to the cost price plus the gain, we can express this relationship mathematically as:
\[ \text{Selling Price} = \text{Cost Price} + \text{Gain} \]
Given that the gain is 10% of the cost price, we can write:
\[ 396 = X + 0.10X \]
This simplifies to:
\[ 396 = 1.10X \]

### Step 4: Solve for the cost price
To find \( X \), we can rearrange the equation:
\[ X = \frac{396}{1.10} \]
Calculating this gives:
\[ X = \frac{3960}{11} = 360 \]

### Step 5: Conclusion
Thus, the cost price of the article is:
\[ \text{Cost Price} = Rs. 360 \]

---