Amit bought total of 44 laptops and mobiles together. Laptop costs two times of mobiles. He marked up the laptop by 50 % and phones by Rs 3000 and sold these. He sold 80 % of mobiles and 6 laptops at Rs 636000. The remaining mobiles and remaining 3 laptops are unsold due to some faults. Find his overall profit/loss on total quantity?

Options

A. Rs 600
B. None of these
C. Rs 750
D. Rs 350

Answer

To solve the problem step by step, we will break down the information provided and calculate the overall profit or loss Amit incurred from selling the laptops and mobiles.

### Step 1: Define Variables
Let the cost of one mobile be \( x \). Then, the cost of one laptop will be \( 2x \) since the laptop costs two times the mobile.

### Step 2: Set Up Equations
Amit bought a total of 44 items (laptops and mobiles). Let \( m \) be the number of mobiles and \( l \) be the number of laptops. We have:
\[ m + l = 44 \]

### Step 3: Calculate Selling Prices
Amit marked up the laptops by 50% and the mobiles by Rs 3000. Therefore:
- Selling price of one laptop = \( 2x + 0.5(2x) = 2x + x = 3x \)
- Selling price of one mobile = \( x + 3000 \)

### Step 4: Determine the Number of Items Sold
Amit sold 80% of the mobiles and 6 laptops. Therefore:
- Mobiles sold = \( 0.8m \)
- Laptops sold = \( 6 \)

### Step 5: Total Revenue from Sales
The total revenue from selling the mobiles and laptops is given as Rs 636,000. Thus, we can write:
\[ (0.8m)(x + 3000) + 6(3x) = 636000 \]

### Step 6: Substitute \( m \) in Terms of \( l \)
From the first equation \( m + l = 44 \), we can express \( m \) as:
\[ m = 44 - l \]

### Step 7: Substitute into Revenue Equation
Substituting \( m \) into the revenue equation gives:
\[ (0.8(44 - l))(x + 3000) + 6(3x) = 636000 \]

### Step 8: Simplify the Equation
Expanding the equation:
\[ 0.8(44 - l)(x + 3000) + 18x = 636000 \]
\[ 35.2(x + 3000) - 0.8l(x + 3000) + 18x = 636000 \]

### Step 9: Solve for \( l \) and \( x \)
This equation can be complex, so we will solve it step by step. We will need to find values for \( l \) and \( x \) that satisfy this equation.

### Step 10: Calculate Total Cost
The total cost of the mobiles and laptops can be calculated as:
\[ \text{Total Cost} = mx + 2lx \]
Substituting \( m = 44 - l \):
\[ \text{Total Cost} = (44 - l)x + 2lx = 44x + lx \]
\[ \text{Total Cost} = 44x + lx = (44 + l)x \]

### Step 11: Calculate Profit or Loss
Profit or Loss can be calculated as:
\[ \text{Profit/Loss} = \text{Total Revenue} - \text{Total Cost} \]
Substituting the values we have calculated:
\[ \text{Profit/Loss} = 636000 - (44 + l)x \]

### Step 12: Final Calculation
After calculating the values of \( l \) and \( x \) from the previous steps, we can substitute them back into the profit/loss equation to find the final answer.