An article is sold for Rs. 5330 after a discount of 18%. What is the marked price (in Rs.) of the article ?

Options

A. 6250
B. 6450
C. 6800
D. 6500

Answer

To find the marked price of the article after a discount, we can follow these steps:

### Step 1: Understand the relationship between Selling Price, Marked Price, and Discount
The relationship can be expressed as:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]

### Step 2: Express the discount in terms of the marked price
Given that the discount is 18%, we can express the discount as:
\[ \text{Discount} = 0.18 \times \text{Marked Price} \]

### Step 3: Substitute the discount in the selling price formula
We can rewrite the selling price formula as:
\[ \text{Selling Price} = \text{Marked Price} - (0.18 \times \text{Marked Price}) \]
This simplifies to:
\[ \text{Selling Price} = \text{Marked Price} \times (1 - 0.18) \]
\[ \text{Selling Price} = \text{Marked Price} \times 0.82 \]

### Step 4: Set up the equation with the given selling price
We know that the selling price is Rs. 5330, so we can set up the equation:
\[ 5330 = \text{Marked Price} \times 0.82 \]

### Step 5: Solve for the marked price
To find the marked price, we can rearrange the equation:
\[ \text{Marked Price} = \frac{5330}{0.82} \]

### Step 6: Calculate the marked price
Now, we perform the division:
\[ \text{Marked Price} = \frac{5330}{0.82} \approx 6500 \]

Thus, the marked price of the article is Rs. 6500.

### Summary of the solution:
- Selling Price = Rs. 5330
- Discount = 18%
- Marked Price = Rs. 6500