An article is sold for Rs. 5845 after giving discount of 12.5%. What is the marked price of article?

Options

A. Rs6800
B. Rs6700
C. Rs6600
D. Rs6680

Answer

To find the marked price of the article after a discount of 12.5%, we can follow these steps:

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

### Step 2: Express the discount in terms of the marked price.
If the marked price is considered as 100%, then the selling price after a discount of 12.5% can be expressed as:
\[ \text{SP} = \text{MP} \times (1 - \text{Discount Rate}) \]
\[ \text{SP} = \text{MP} \times (1 - 0.125) \]
\[ \text{SP} = \text{MP} \times 0.875 \]

### Step 3: Substitute the known selling price into the equation.
We know that the selling price (SP) is Rs. 5845. Thus, we can set up the equation:
\[ 5845 = \text{MP} \times 0.875 \]

### Step 4: Solve for the marked price (MP).
To find the marked price, rearrange the equation:
\[ \text{MP} = \frac{5845}{0.875} \]

### Step 5: Calculate the marked price.
Now, perform the division:
\[ \text{MP} = \frac{5845}{0.875} \approx 6680 \]

### Conclusion:
The marked price of the article is Rs. 6680.