The cost price of an article is 25% below the marked price. If the article is available at 15% discount and its cost price is Rs 2,400, find :
its selling price

Answer

To solve the problem step by step, we will follow the calculations outlined in the video transcript.

### Step 1: Understand the relationship between Cost Price (CP), Marked Price (MP), and Discount
The problem states that the Cost Price (CP) of the article is 25% below the Marked Price (MP). This means:
\[ CP = MP - 25\% \text{ of } MP \]
This can also be expressed as:
\[ CP = MP \times \left(1 - \frac{25}{100}\right) = MP \times \frac{75}{100} \]

### Step 2: Set up the equation with the given Cost Price
We know the Cost Price (CP) is Rs 2400. Therefore, we can set up the equation:
\[ 2400 = MP \times \frac{75}{100} \]

### Step 3: Solve for Marked Price (MP)
To find the Marked Price (MP), we can rearrange the equation:
\[ MP = \frac{2400 \times 100}{75} \]

Calculating this gives:
\[ MP = \frac{240000}{75} = 3200 \text{ Rs} \]

### Step 4: Calculate the Selling Price (SP)
The article is available at a 15% discount. The Selling Price (SP) can be calculated using the formula:
\[ SP = MP - \text{Discount} \]
Where:
\[ \text{Discount} = 15\% \text{ of } MP = \frac{15}{100} \times MP \]

Substituting the value of MP:
\[ \text{Discount} = \frac{15}{100} \times 3200 = 480 \text{ Rs} \]

Now, substituting back to find the Selling Price:
\[ SP = 3200 - 480 = 2720 \text{ Rs} \]

### Conclusion
Thus, the Selling Price of the article is Rs 2720.

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