The Selling price of a radio was ₹255 when `15%`discount was allowed. Then the marked price of the radio was ?

Options

A. ₹ 400
B. ₹ 300
C. ₹ 350
D. ₹ 275

Answer

To find the marked price of the radio when a selling price of ₹255 is given after allowing a 15% discount, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**:
The selling price (SP) after a discount is given by the formula:
\[ SP = MP \times \left(1 - \frac{D}{100}\right) \]
where:
- SP = Selling Price
- MP = Marked Price
- D = Discount Percentage

2. **Substitute the Known Values**:
Here, the selling price (SP) is ₹255 and the discount (D) is 15%. We can substitute these values into the formula:
\[ 255 = MP \times \left(1 - \frac{15}{100}\right) \]

3. **Calculate the Discount Factor**:
Calculate \(1 - \frac{15}{100}\):
\[ 1 - \frac{15}{100} = 1 - 0.15 = 0.85 \]
So, the equation becomes:
\[ 255 = MP \times 0.85 \]

4. **Solve for Marked Price (MP)**:
To find the marked price (MP), rearrange the equation:
\[ MP = \frac{255}{0.85} \]

5. **Perform the Division**:
Calculate \(MP\):
\[ MP = \frac{255}{0.85} = 300 \]

### Conclusion:
The marked price of the radio is ₹300.