The SP of an article is Rs. 882. If the discount on it is 16%. What would be the SP of the article (in Rs) if the discount on it is 28%?

Options

A. 756
B. 720
C. 792
D. 806.4

Answer

To solve the problem step by step, we will first find the marked price (MP) of the article using the given selling price (SP) and discount percentage. Then, we will calculate the new selling price with the new discount percentage.

### Step 1: Find the Marked Price (MP)
The selling price (SP) after a discount can be calculated using the formula:
\[ SP = MP \times \left(1 - \frac{D}{100}\right) \]
where \(D\) is the discount percentage.

Given:
- SP = Rs. 882
- Discount (D) = 16%

We can rearrange the formula to find the marked price (MP):
\[ MP = \frac{SP}{1 - \frac{D}{100}} = \frac{882}{1 - 0.16} = \frac{882}{0.84} \]

Calculating the marked price:
\[ MP = \frac{882}{0.84} = 1050 \]

### Step 2: Calculate the New Selling Price with 28% Discount
Now that we have the marked price, we can calculate the new selling price (SP') when the discount is 28%.

Using the same formula:
\[ SP' = MP \times \left(1 - \frac{D'}{100}\right) \]
where \(D'\) is the new discount percentage (28%).

Substituting the values:
\[ SP' = 1050 \times \left(1 - \frac{28}{100}\right) = 1050 \times (1 - 0.28) = 1050 \times 0.72 \]

Calculating the new selling price:
\[ SP' = 1050 \times 0.72 = 756 \]

### Final Answer
The selling price of the article when the discount is 28% is Rs. 756.

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