The selling price of an article is Rs. 816 if the discount on it is 15%. What would be the selling price of the article (in Rs.) if the discount on it is 25% ?

Options

A. 750
B. 720
C. 800
D. 700

Answer

To solve the problem step by step, let's first understand the relationship between the selling price, the marked price, and the discount.

### Step 1: Understand the given information
We know that:
- Selling Price (SP) = Rs. 816
- Discount = 15%

### Step 2: Calculate the Marked Price (MP)
The selling price can be calculated using the formula:
\[ SP = MP - (Discount \times MP) \]
This can be rewritten as:
\[ SP = MP \times (1 - \text{Discount Rate}) \]
Where the discount rate is expressed as a decimal. For a 15% discount, the discount rate is 0.15.

Substituting the values we have:
\[ 816 = MP \times (1 - 0.15) \]
\[ 816 = MP \times 0.85 \]

Now, we can solve for the Marked Price (MP):
\[ MP = \frac{816}{0.85} \]
\[ MP = 960 \]

### Step 3: Calculate the Selling Price with a 25% Discount
Now, we need to find the selling price when the discount is 25%. The discount rate for 25% is 0.25.

Using the same formula for selling price:
\[ SP = MP \times (1 - \text{Discount Rate}) \]
Substituting the new discount rate:
\[ SP = 960 \times (1 - 0.25) \]
\[ SP = 960 \times 0.75 \]
\[ SP = 720 \]

### Final Answer
The selling price of the article if the discount is 25% would be Rs. 720.

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