At 20% discount the selling price of an article is Rs. 2400, what is the selling price (in Rs.) If the discount is 32.5% ?

Options

A. 2125
B. 2225
C. 2025
D. 2325

Answer

To solve the problem step by step, we will first determine the original marked price of the article and then calculate the selling price at a 32.5% discount.

### Step 1: Determine the Marked Price
Given that the selling price (SP) at a 20% discount is Rs. 2400, we can find the marked price (MP) using the formula for selling price after discount:

\[ SP = MP \times (1 - \text{Discount Rate}) \]

Here, the discount rate is 20%, or 0.20. Therefore, we can express the equation as:

\[ 2400 = MP \times (1 - 0.20) \]

This simplifies to:

\[ 2400 = MP \times 0.80 \]

Now, we can solve for the marked price (MP):

\[ MP = \frac{2400}{0.80} \]

Calculating this gives:

\[ MP = 3000 \]

### Step 2: Calculate Selling Price at 32.5% Discount
Now that we have the marked price, we can find the selling price at a 32.5% discount. We will again use the formula for selling price:

\[ SP = MP \times (1 - \text{Discount Rate}) \]

This time, the discount rate is 32.5%, or 0.325. Thus, we can express the equation as:

\[ SP = 3000 \times (1 - 0.325) \]

This simplifies to:

\[ SP = 3000 \times 0.675 \]

Calculating this gives:

\[ SP = 2025 \]

### Final Answer
The selling price of the article at a 32.5% discount is **Rs. 2025**.

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