By selling an article for Rs 432, a shopkeeper gains `20%`. Find the price of the article.

Answer

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

### Step-by-Step Solution:

1. **Identify the Selling Price (SP) and Gain Percentage**:
- Selling Price (SP) = Rs 432
- Gain Percentage = 20%

2. **Understand the Relationship Between Selling Price, Cost Price (CP), and Profit**:
- The formula for profit in terms of cost price is:
\[ \text{Profit} = \text{SP} - \text{CP} \]

3. **Express Profit in Terms of Cost Price**:
- Since the gain percentage is given as 20%, we can express profit as:
\[ \text{Profit} = \frac{20}{100} \times \text{CP} = \frac{1}{5} \times \text{CP} \]

4. **Set Up the Equation**:
- From the profit formula, we can substitute the profit into the equation:
\[ \text{SP} = \text{CP} + \text{Profit} \]
- Substituting the values we have:
\[ 432 = \text{CP} + \frac{1}{5} \times \text{CP} \]

5. **Combine Like Terms**:
- Rewrite the equation:
\[ 432 = \text{CP} + \frac{1}{5} \text{CP} = \frac{5}{5} \text{CP} + \frac{1}{5} \text{CP} = \frac{6}{5} \text{CP} \]

6. **Solve for Cost Price (CP)**:
- Rearranging the equation gives:
\[ 432 = \frac{6}{5} \text{CP} \]
- To isolate CP, multiply both sides by \( \frac{5}{6} \):
\[ \text{CP} = 432 \times \frac{5}{6} \]

7. **Calculate the Value**:
- First, divide 432 by 6:
\[ 432 \div 6 = 72 \]
- Then multiply by 5:
\[ 72 \times 5 = 360 \]

8. **Final Answer**:
- Therefore, the cost price (CP) of the article is Rs 360.

### Summary:
The cost price of the article is Rs 360.