A man sold an article for ₹495 and gained 10% on it Find the cost price of the article.

Answer

To find the cost price of the article sold for ₹495 with a gain of 10%, we can follow these steps:

### Step 1: Understand the given information
- Selling Price (SP) = ₹495
- Gain Percentage = 10%

### Step 2: Set up the equation
Let the Cost Price (CP) be represented as \( X \).

### Step 3: Express the gain in terms of CP
The gain can be expressed as:
\[ \text{Gain} = \text{Gain Percentage} \times \text{Cost Price} = \frac{10}{100} \times X = 0.1X \]

### Step 4: Relate Selling Price, Cost Price, and Gain
From the relationship between Selling Price, Cost Price, and Gain, we have:
\[ SP = CP + \text{Gain} \]
Substituting the values we have:
\[ 495 = X + 0.1X \]

### Step 5: Combine like terms
Combine \( X \) and \( 0.1X \):
\[ 495 = 1.1X \]

### Step 6: Solve for Cost Price (CP)
To find \( X \), divide both sides by 1.1:
\[ X = \frac{495}{1.1} \]

### Step 7: Calculate the value
Now, perform the division:
\[ X = 450 \]

### Conclusion
The Cost Price of the article is ₹450.

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