Selling price of an article is Rs 494 and discount of 5% is offered. What is the marked price (in Rs)?

Options

A. 524.5
B. 587
C. 520
D. 540

Answer

To find the marked price of an article when the selling price and discount percentage are given, we can use the following steps:

### Step 1: Understand the relationship between Selling Price (SP), Marked Price (MP), and Discount.
The formula relating these three quantities is:
\[ SP = MP \times \left( \frac{100 - \text{Discount \%}}{100} \right) \]

### Step 2: Identify the given values.
From the question:
- Selling Price (SP) = Rs 494
- Discount = 5%

### Step 3: Substitute the known values into the formula.
Let the Marked Price be \( MP \). We can substitute the known values into the formula:
\[ 494 = MP \times \left( \frac{100 - 5}{100} \right) \]
This simplifies to:
\[ 494 = MP \times \left( \frac{95}{100} \right) \]

### Step 4: Solve for Marked Price (MP).
To isolate \( MP \), we can rearrange the equation:
\[ MP = \frac{494 \times 100}{95} \]

### Step 5: Calculate the value of Marked Price (MP).
Now, we can perform the calculation:
\[ MP = \frac{49400}{95} = 520 \]

### Conclusion:
The Marked Price (MP) of the article is Rs 520.

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