An article is sold for Rs 6552 after a discount of 22%. What is the marked price (in Rs) of the article?

Options

A. 8450
B. 8425
C. 8400
D. 8750

Answer

To find the marked price (MP) of the article given that it is sold for Rs 6552 after a discount of 22%, we can follow these steps:

### Step 1: Understand the relationship between Selling Price (SP), Marked Price (MP), and Discount
The relationship can be expressed as:
\[ SP = MP - \text{Discount} \]
or
\[ SP = MP \times \left(1 - \frac{\text{Discount Rate}}{100}\right) \]

### Step 2: Substitute the known values into the equation
Given:
- Selling Price (SP) = Rs 6552
- Discount Rate = 22%

We can substitute these values into the equation:
\[ 6552 = MP \times \left(1 - \frac{22}{100}\right) \]
\[ 6552 = MP \times 0.78 \]

### Step 3: Solve for the Marked Price (MP)
To find MP, we can rearrange the equation:
\[ MP = \frac{6552}{0.78} \]

### Step 4: Calculate the value of MP
Now, perform the division:
\[ MP = \frac{6552}{0.78} \approx 8400 \]

### Step 5: Conclusion
Thus, the marked price of the article is Rs 8400.