A discount of 14% on the marked price of an article is allowed and then the article is sold for Rs 387. The marked price of the article is

Options

A. Rs. 450
B. Rs. 427
C. Rs. 500
D. Rs. 440

Answer

To find the marked price (MP) of the article given that a discount of 14% is applied and the selling price (SP) is Rs 387, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between marked price, discount, and selling price**:
The selling price after a discount can be calculated using the formula:
\[ SP = MP \times \left(1 - \frac{D}{100}\right) \]
where \(D\) is the discount percentage.

2. **Substitute the known values into the formula**:
Here, the discount \(D\) is 14% and the selling price \(SP\) is Rs 387. Therefore, we can write:
\[ 387 = MP \times \left(1 - \frac{14}{100}\right) \]

3. **Calculate the effective percentage after discount**:
The effective percentage of the marked price after a 14% discount is:
\[ 1 - \frac{14}{100} = \frac{86}{100} = 0.86 \]

4. **Rewrite the equation with the effective percentage**:
Now we can rewrite the equation:
\[ 387 = MP \times 0.86 \]

5. **Solve for the marked price (MP)**:
To find the marked price, rearrange the equation:
\[ MP = \frac{387}{0.86} \]

6. **Calculate the value**:
Performing the division:
\[ MP = \frac{387}{0.86} \approx 450 \]

### Final Answer:
The marked price of the article is Rs 450.