Shweta purchased an article and sold it Rs.1428 and get 20% profit what was the original price?

Options

A. Rs. 1190
B. Rs. 1600
C. Rs. 1800
D. Rs. 1600

Answer

To find the original price (Cost Price) of the article that Shweta purchased, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Selling Price (SP) and Profit Percentage**:
- Selling Price (SP) = Rs. 1428
- Profit Percentage = 20%

2. **Understand the Relationship Between SP, CP, and Profit**:
- The formula for Selling Price when there is a profit is:
\[ SP = CP + \text{Profit} \]
- Since Profit is calculated as a percentage of Cost Price (CP), we can express it as:
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times CP \]
- Therefore, we can rewrite the Selling Price formula as:
\[ SP = CP + \frac{20}{100} \times CP \]
- This simplifies to:
\[ SP = CP \left(1 + \frac{20}{100}\right) = CP \left(1 + 0.2\right) = CP \times 1.2 \]

3. **Set Up the Equation**:
- We can now set up the equation using the Selling Price:
\[ 1428 = CP \times 1.2 \]

4. **Solve for Cost Price (CP)**:
- To find CP, we can rearrange the equation:
\[ CP = \frac{1428}{1.2} \]
- Performing the division:
\[ CP = \frac{1428 \times 10}{12} = \frac{14280}{12} = 1190 \]

5. **Conclusion**:
- Therefore, the original price (Cost Price) of the article is Rs. 1190.