After allowing 15% discount , the selling price of a radio becomes Rs. 255. The mared price is

Options

A. Rs. 500
B. Rs 600
C. Rs. 400
D. Rs. 300

Answer

To find the marked price of the radio after a 15% discount leads to a selling price of Rs. 255, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- Selling Price (SP) = Rs. 255
- Discount = 15%

2. **Express the Marked Price (MP)**:
- Let the Marked Price be denoted as \( x \).

3. **Calculate the Selling Price in terms of Marked Price**:
- When a discount of 15% is applied, the selling price can be expressed as:
\[ SP = MP - \text{Discount} \]
- The discount can also be expressed as:
\[ \text{Discount} = 15\% \text{ of } MP = \frac{15}{100} \times x = 0.15x \]
- Therefore, we can write:
\[ SP = x - 0.15x = 0.85x \]

4. **Set up the equation**:
- Now, substituting the value of SP:
\[ 0.85x = 255 \]

5. **Solve for Marked Price (MP)**:
- To find \( x \), divide both sides by 0.85:
\[ x = \frac{255}{0.85} \]

6. **Calculate the value**:
- Performing the division:
\[ x = \frac{255 \times 100}{85} = \frac{25500}{85} = 300 \]

7. **Conclusion**:
- Therefore, the Marked Price (MP) of the radio is Rs. 300.

### Final Answer:
The marked price of the radio is Rs. 300.

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