The marked price of a door is Rs 1400. It is sold at a discount of 28%. If the cost price of the door is Rs 700, then what is the profit (in Rs)?

Options

A. 340
B. 428
C. 308
D. 368

Answer

To solve the problem, we need to find the selling price of the door after applying the discount and then calculate the profit based on the cost price. Here’s the step-by-step solution:

### Step 1: Calculate the Discount Amount
The marked price of the door is Rs 1400, and the discount is 28%.

To find the discount amount, we use the formula:
\[ \text{Discount Amount} = \text{Marked Price} \times \left(\frac{\text{Discount Percentage}}{100}\right) \]

Substituting the values:
\[ \text{Discount Amount} = 1400 \times \left(\frac{28}{100}\right) = 1400 \times 0.28 = 392 \]

### Step 2: Calculate the Selling Price
Now, we can calculate the selling price by subtracting the discount amount from the marked price.

\[ \text{Selling Price} = \text{Marked Price} - \text{Discount Amount} \]

Substituting the values:
\[ \text{Selling Price} = 1400 - 392 = 1008 \]

### Step 3: Calculate the Profit
The profit can be calculated by subtracting the cost price from the selling price.

\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]

Substituting the values:
\[ \text{Profit} = 1008 - 700 = 308 \]

### Final Answer
The profit made from selling the door is Rs 308.

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