A dealer sells a machine having marked price as Rs. 3840 at a discount of 20%. What is the selling price (in Rs.) of the machine?

Options

A. 3072
B. 3500
C. 4608
D. 3240

Answer

To find the selling price of the machine after applying a discount, we can follow these steps:

### Step 1: Identify the Marked Price and the Discount Percentage
- The marked price (MP) of the machine is given as Rs. 3840.
- The discount percentage is given as 20%.

### Step 2: Calculate the Amount of Discount
- To find the discount amount, we can use the formula:
\[ \text{Discount Amount} = \left( \frac{\text{Discount Percentage}}{100} \right) \times \text{Marked Price} \]
- Substituting the values:
\[ \text{Discount Amount} = \left( \frac{20}{100} \right) \times 3840 \]
\[ \text{Discount Amount} = 0.20 \times 3840 = 768 \]

### Step 3: Calculate the Selling Price
- The selling price (SP) can be calculated by subtracting the discount amount from the marked price:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount Amount} \]
- Substituting the values:
\[ \text{Selling Price} = 3840 - 768 = 3072 \]

### Conclusion
- The selling price of the machine is Rs. 3072.

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