Cost price of an article is रु 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 रु ) of the article?

Options

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

Explanation

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

### Step 1: Determine the Selling Price (SP)
The cost price (CP) of the article is given as रु 5500. The article is sold at a profit of 9.09%.

To find the selling price, we can use the formula:
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]
First, we need to calculate the profit. The profit percentage is 9.09%, which can be expressed as a fraction:
\[ \text{Profit} = \frac{9.09}{100} \times \text{CP} = \frac{9.09}{100} \times 5500 \]
Calculating this gives:
\[ \text{Profit} = 0.0909 \times 5500 = 500 \]
Now, we can find the selling price:
\[ \text{SP} = 5500 + 500 = 6000 \]

### Step 2: Relate Selling Price to Marked Price (MP)
The article is sold at a discount of 20%. This means that the selling price is 80% of the marked price (MP). We can express this as:
\[ \text{SP} = \text{MP} \times \left(1 - \frac{20}{100}\right) = \text{MP} \times 0.8 \]
Substituting the selling price we found:
\[ 6000 = \text{MP} \times 0.8 \]

### Step 3: Solve for Marked Price (MP)
To find the marked price, we rearrange the equation:
\[ \text{MP} = \frac{6000}{0.8} \]
Calculating this gives:
\[ \text{MP} = \frac{6000}{0.8} = 7500 \]

### Conclusion
The marked price of the article is रु 7500.

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