A salesman purchased 50 laptops from a manufacturer at Rs.36000 each. If salesman marked each laptop 150% above the cost of each laptop and started a scheme - on purchase of every laptop he will give accessories worth Rs.25000 free and 30% discount on marked price of each laptop, then find the amount of profit earned by the salesman on selling all the laptops.

Options

A. A)Rs `150000`
B. B)Rs `200000`
C. C)Rs `80000`
D. D)Rs `100000`

Answer

To solve the problem step by step, we will calculate the cost price, selling price, and profit earned by the salesman on selling all the laptops.

### Step 1: Calculate the Cost Price of One Laptop
The cost price (CP) of one laptop is given as Rs. 36,000.

### Step 2: Calculate the Total Cost Price for 50 Laptops
To find the total cost price for 50 laptops:
\[ \text{Total Cost Price} = \text{Cost Price of One Laptop} \times \text{Number of Laptops} \]
\[ \text{Total Cost Price} = 36,000 \times 50 = 1,800,000 \]

### Step 3: Calculate the Marked Price of One Laptop
The salesman marks each laptop 150% above the cost price. Therefore, the marked price (MP) can be calculated as:
\[ \text{Marked Price} = \text{Cost Price} + (150\% \text{ of Cost Price}) = 36,000 + (1.5 \times 36,000) \]
\[ \text{Marked Price} = 36,000 + 54,000 = 90,000 \]

### Step 4: Calculate the Selling Price After Discount
The salesman offers a 30% discount on the marked price. The selling price (SP) after the discount can be calculated as:
\[ \text{Selling Price} = \text{Marked Price} - (30\% \text{ of Marked Price}) = 90,000 - (0.3 \times 90,000) \]
\[ \text{Selling Price} = 90,000 - 27,000 = 63,000 \]

### Step 5: Calculate the Total Selling Price for 50 Laptops
To find the total selling price for 50 laptops:
\[ \text{Total Selling Price} = \text{Selling Price of One Laptop} \times \text{Number of Laptops} \]
\[ \text{Total Selling Price} = 63,000 \times 50 = 3,150,000 \]

### Step 6: Calculate the Profit Earned
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Total Selling Price} - \text{Total Cost Price} \]
\[ \text{Profit} = 3,150,000 - 1,800,000 = 1,350,000 \]

### Final Answer
The amount of profit earned by the salesman on selling all the laptops is Rs. 1,350,000.

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