An article was sold for Rs 2100 at a profit of 25%. What is its cost price ?

Options

A. Rs 1,620
B. Rs 1,640
C. Rs 1,660
D. Rs 1,680

Answer

To find the cost price (CP) of the article sold for Rs 2100 at a profit of 25%, we can follow these steps:

### Step-by-step Solution:

1. **Understand the relationship between Selling Price (SP), Cost Price (CP), and Profit Percentage**:
- The selling price is the cost price plus profit.
- If the cost price is considered as 100%, then a profit of 25% means the selling price is 125% of the cost price.

2. **Set up the equation**:
- Given that the selling price (SP) is Rs 2100, we can express this as:
\[ SP = CP + Profit \]
- Since profit is 25% of CP, we can rewrite it as:
\[ SP = CP + 0.25 \times CP = 1.25 \times CP \]
- Therefore, we have:
\[ 2100 = 1.25 \times CP \]

3. **Solve for Cost Price (CP)**:
- To find CP, we rearrange the equation:
\[ CP = \frac{2100}{1.25} \]
- Now, we can simplify this calculation:
\[ CP = 2100 \times \frac{100}{125} \]
- Simplifying \(\frac{100}{125}\) gives us \(\frac{4}{5}\):
\[ CP = 2100 \times \frac{4}{5} \]
- Now, calculate:
\[ CP = 2100 \times 0.8 = 1680 \]

4. **Conclusion**:
- The cost price (CP) of the article is Rs 1680.

### Final Answer:
The cost price of the article is Rs 1680.

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