An article is sold for Rs.4777 after giving discount of 15% . What is the marked price of article ?

Options

A. a) Rs.5620
B. b) Rs.5494
C. c) Rs.5348
D. d) Rs.5525

Answer

To find the marked price of an article that is sold for Rs. 4777 after a discount of 15%, we can follow these steps:

### Step 1: Understand the relationship between marked price, discount, and selling price.
The selling price (SP) is related to the marked price (MP) and the discount (D) by the formula:
\[ \text{SP} = \text{MP} - \text{D} \]
Where the discount can be expressed as a percentage of the marked price:
\[ \text{D} = \frac{\text{Discount Percentage}}{100} \times \text{MP} \]

### Step 2: Set up the equation.
Given that the discount is 15%, we can express the discount in terms of the marked price:
\[ D = \frac{15}{100} \times \text{MP} \]
Substituting this into the selling price formula gives:
\[ \text{SP} = \text{MP} - \left(\frac{15}{100} \times \text{MP}\right) \]

### Step 3: Substitute the known selling price.
We know the selling price is Rs. 4777, so we can write:
\[ 4777 = \text{MP} - \left(\frac{15}{100} \times \text{MP}\right) \]

### Step 4: Factor out the marked price.
Factoring out MP from the right side:
\[ 4777 = \text{MP} \left(1 - \frac{15}{100}\right) \]
This simplifies to:
\[ 4777 = \text{MP} \left(\frac{100 - 15}{100}\right) \]
\[ 4777 = \text{MP} \left(\frac{85}{100}\right) \]

### Step 5: Solve for the marked price.
To isolate MP, we rearrange the equation:
\[ \text{MP} = \frac{4777 \times 100}{85} \]

### Step 6: Calculate the marked price.
Now we can perform the calculation:
\[ \text{MP} = \frac{477700}{85} \]
\[ \text{MP} = 5620 \]

### Conclusion
The marked price of the article is Rs. 5620.

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