Sunil buys an article with 20% discount on its marked price. He makes a profit of 10% by selling it at 1100. find its marked price.

Options

A. 1400
B. 3100
C. 1250
D. 4500

Answer

To find the marked price of the article that Sunil bought, we can follow these steps:

### Step 1: Define Variables
Let the marked price be \( M \).

### Step 2: Calculate the Cost Price
Sunil buys the article at a 20% discount on the marked price. Therefore, the cost price \( C \) can be calculated as:
\[ C = M - 0.20M = 0.80M \]

### Step 3: Selling Price Calculation
Sunil sells the article at a profit of 10%. The selling price \( S \) can be calculated as:
\[ S = C + 0.10C = 1.10C \]
Substituting the value of \( C \) from Step 2:
\[ S = 1.10 \times 0.80M = 0.88M \]

### Step 4: Set Selling Price Equal to Given Value
We know that Sunil sells the article for 1100. Therefore, we can set up the equation:
\[ 0.88M = 1100 \]

### Step 5: Solve for Marked Price
To find \( M \), divide both sides by 0.88:
\[ M = \frac{1100}{0.88} \]
Calculating this gives:
\[ M = 1250 \]

### Conclusion
The marked price of the article is \( 1250 \).

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