After a discount of 34% an article is sold for Rs.3168. What is the marked price (in Rs) of the article?

Options

A. 4750
B. 4800
C. 4850
D. 5000

Answer

To find the marked price of the article after a discount of 34% when it is sold for Rs. 3168, we can follow these steps:

### Step 1: Understand the relationship between marked price, discount, and selling price.
The selling price (SP) after a discount can be calculated using the formula:
\[ SP = MP - \text{Discount} \]
Where:
- SP = Selling Price
- MP = Marked Price
- Discount = Percentage of the marked price

### Step 2: Express the discount in terms of the marked price.
Given that the discount is 34%, we can express the discount in terms of the marked price (MP):
\[ \text{Discount} = 34\% \text{ of MP} = \frac{34}{100} \times MP = 0.34 \times MP \]

### Step 3: Substitute the discount into the selling price formula.
Now we can substitute the discount into the selling price formula:
\[ SP = MP - 0.34 \times MP \]
This simplifies to:
\[ SP = MP (1 - 0.34) \]
\[ SP = MP \times 0.66 \]

### Step 4: Set the selling price equal to Rs. 3168.
We know that the selling price (SP) is Rs. 3168, so we can set up the equation:
\[ 3168 = MP \times 0.66 \]

### Step 5: Solve for the marked price (MP).
To find the marked price (MP), we can rearrange the equation:
\[ MP = \frac{3168}{0.66} \]
Now, calculate the value:
\[ MP = 4800 \]

### Conclusion:
The marked price of the article is Rs. 4800.

---