The cost price of an article is 40% of the selling price. What percent of the cost price is the selling price?

Options

A. 1.4
B. 2
C. 2.2
D. 2.5

Answer

To solve the problem, we need to find out what percent of the cost price (CP) is the selling price (SP) given that the cost price is 40% of the selling price.

### Step-by-step Solution:

1. **Define the Selling Price (SP)**:
Let's assume the selling price (SP) of the article is \( x \).

2. **Calculate the Cost Price (CP)**:
According to the problem, the cost price (CP) is 40% of the selling price. Therefore:
\[ CP = 40\% \text{ of } SP = 0.4x \]

3. **Find the Percentage of Selling Price with Respect to Cost Price**:
We need to find what percent the selling price (SP) is of the cost price (CP). The formula to find the percentage is:
\[ \text{Percentage} = \left( \frac{SP}{CP} \right) \times 100 \]
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{x}{0.4x} \right) \times 100 \]

4. **Simplify the Expression**:
The \( x \) in the numerator and denominator cancels out:
\[ \text{Percentage} = \left( \frac{1}{0.4} \right) \times 100 \]
Now calculate \( \frac{1}{0.4} \):
\[ \frac{1}{0.4} = 2.5 \]
Therefore:
\[ \text{Percentage} = 2.5 \times 100 = 250\% \]

5. **Conclusion**:
The selling price is 250% of the cost price.

### Final Answer:
The selling price is 250% of the cost price.

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