Cost price of an article is Rs. 5500. It was sold at a profit of 9.09%. If the article was sold at a discount of 20%, then what is the marked price (in Rs.) of the article ?

Options

A. 6000
B. 7500
C. 6600
D. 6800

Answer

To find the marked price (MP) of the article, we will follow these steps:

### Step 1: Calculate the Selling Price (SP)
The cost price (CP) of the article is given as Rs. 5500, and it was sold at a profit of 9.09%.

To find the selling price, we can use the formula:
\[ SP = CP + \text{Profit} \]
The profit can be calculated as:
\[ \text{Profit} = \frac{9.09}{100} \times CP \]
Substituting the values:
\[ \text{Profit} = \frac{9.09}{100} \times 5500 = 500.0 \]
Now, substituting back into the SP formula:
\[ SP = 5500 + 500 = 6000 \]

### Step 2: Understand the Discount
The article is sold at a discount of 20%. This means that the selling price is 80% of the marked price (MP).

### Step 3: Set Up the Equation
We can express this relationship mathematically:
\[ SP = MP \times (1 - \text{Discount}) \]
Substituting the known values:
\[ 6000 = MP \times 0.80 \]

### Step 4: Solve for Marked Price (MP)
To find the marked price, rearrange the equation:
\[ MP = \frac{6000}{0.80} \]
Calculating this gives:
\[ MP = 6000 \div 0.80 = 7500 \]

### Final Answer
The marked price (MP) of the article is Rs. 7500.

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