The cost price of an article is Rs. 200. If 20% profit is made after giving 20% discount on the maked price.The marked price is :

Options

A. Rs. 300
B. Rs. 320
C. Rs. 420
D. Rs. 450

Answer

To find the marked price of the article given the cost price, profit percentage, and discount percentage, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Cost Price (CP) = Rs. 200
- Profit Percentage = 20%
- Discount Percentage = 20%

2. **Calculate the Selling Price (SP)**:
- The selling price can be calculated using the formula:
\[ SP = CP + (Profit \% \times CP) \]
- Substitute the values:
\[ SP = 200 + (20\% \times 200) = 200 + 40 = Rs. 240 \]

3. **Relate Selling Price to Marked Price (MP)**:
- The selling price is also related to the marked price through the discount:
\[ SP = MP - (Discount \% \times MP) \]
- This can be rewritten as:
\[ SP = MP \times (1 - \frac{Discount \%}{100}) \]
- Substitute the discount percentage:
\[ SP = MP \times (1 - 0.20) = MP \times 0.80 \]

4. **Set Up the Equation**:
- Now we can set up the equation using the selling price calculated:
\[ 240 = MP \times 0.80 \]

5. **Solve for Marked Price (MP)**:
- Rearranging the equation gives:
\[ MP = \frac{240}{0.80} \]
- Now calculate the marked price:
\[ MP = 240 \div 0.80 = 300 \]

6. **Conclusion**:
- The marked price of the article is Rs. 300.

### Final Answer:
The marked price is Rs. 300.

---