An article was sold at a discount of 30% at Rs. 1120. If the article was sold at discount of Rs. 399 in place of 30% discount then find the selling price .

Options

A. Rs. 1066
B. Rs. 1201
C. Rs. 1086
D. Rs. 1223

Explanation

To solve the problem, we need to find the selling price of the article when it is sold at a discount of Rs. 399 instead of a 30% discount.

### Step 1: Find the marked price of the article.
The article was sold at a discount of 30% for Rs. 1120.

Let the marked price be \( M \).

The selling price after a 30% discount can be calculated as:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
Given that the discount is 30% of the marked price, we can express this as:
\[ 1120 = M - 0.30M \]
This simplifies to:
\[ 1120 = 0.70M \]

### Step 2: Calculate the marked price.
To find \( M \), we rearrange the equation:
\[ M = \frac{1120}{0.70} \]
Calculating this gives:
\[ M = 1600 \]

### Step 3: Calculate the selling price with a discount of Rs. 399.
Now, we need to find the selling price when the discount is Rs. 399 instead of 30%.

The selling price with a discount of Rs. 399 is given by:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
Substituting the values we have:
\[ \text{Selling Price} = 1600 - 399 \]

### Step 4: Perform the subtraction to find the selling price.
Calculating this gives:
\[ \text{Selling Price} = 1201 \]

### Final Answer:
The selling price of the article when sold at a discount of Rs. 399 is Rs. 1201.

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