After giving a discount of 15% an article is sold at Rs. 2550, what is its marked price?

Options

A. Rs 3200
B. Rs 3000
C. Rs 2900
D. Rs 3700

Explanation

To find the marked price of the article 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) after a discount is given by the formula:
\[ SP = MP - \text{Discount} \]
where MP is the marked price.

### Step 2: Express the discount in terms of the marked price.
Given that the discount is 15%, we can express the discount as:
\[ \text{Discount} = 15\% \text{ of } MP = \frac{15}{100} \times MP = 0.15 \times MP \]

### Step 3: Substitute the discount into the selling price formula.
We know the selling price (SP) is Rs. 2550. Therefore, we can write:
\[ 2550 = MP - 0.15 \times MP \]

### Step 4: Simplify the equation.
Combining the terms on the right side gives:
\[ 2550 = MP(1 - 0.15) \]
\[ 2550 = MP \times 0.85 \]

### Step 5: Solve for the marked price (MP).
To find MP, we can rearrange the equation:
\[ MP = \frac{2550}{0.85} \]

### Step 6: Calculate the value.
Now, performing the division:
\[ MP = \frac{2550}{0.85} = 3000 \]

### Conclusion:
The marked price of the article is Rs. 3000.

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