A dealer buys a product at Rs. 1920, He sells at a discount of 20% still he gets the profit of 20%. What is the selling price of the product?

Options

A. Rs. 2304
B. Rs. 1536
C. Rs. 2200
D. it is not possible

Answer

To solve the problem step by step, we need to find the selling price of the product based on the given cost price, profit percentage, and discount percentage.

### Step 1: Understand the given values
- Cost Price (CP) = Rs. 1920
- Profit Percentage = 20%
- Discount Percentage = 20%

### Step 2: Calculate the Selling Price (SP) before discount
To find the selling price before the discount, we can use the formula for selling price based on profit percentage:

\[ SP = CP \times \left(1 + \frac{\text{Profit Percentage}}{100}\right) \]

Substituting the values:

\[ SP = 1920 \times \left(1 + \frac{20}{100}\right) \]

\[ SP = 1920 \times \left(1 + 0.20\right) \]

\[ SP = 1920 \times 1.20 \]

\[ SP = 2304 \]

### Step 3: Calculate the Selling Price after discount
Now that we have the selling price before the discount, we need to find the selling price after applying the 20% discount. The formula for selling price after discount is:

\[ \text{Selling Price after discount} = SP \times \left(1 - \frac{\text{Discount Percentage}}{100}\right) \]

Substituting the values:

\[ \text{Selling Price after discount} = 2304 \times \left(1 - \frac{20}{100}\right) \]

\[ \text{Selling Price after discount} = 2304 \times \left(1 - 0.20\right) \]

\[ \text{Selling Price after discount} = 2304 \times 0.80 \]

\[ \text{Selling Price after discount} = 1843.20 \]

### Final Answer
Thus, the selling price of the product after applying the discount is Rs. 1843.20.

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