A furniture seller sells two tables at ? 1500 each. He earned a profit of 20% on one table and suffered a loss of 20% on the another table. Net profit or loss in this deal is

Options

A. 4% loss
B. 4% profit
C. Neither profit nor loss
D. 10% loss

Answer

To solve the problem step by step, we will calculate the profit and loss on each table and then determine the net effect.

### Step 1: Identify the Selling Price of Each Table
The selling price (SP) of each table is given as Rs 1500.

### Step 2: Calculate the Cost Price of the First Table
The first table is sold at a profit of 20%.
Let the cost price (CP) of the first table be \( CP_1 \).

Using the formula for profit:
\[ SP = CP + \text{Profit} \]
The profit can be calculated as:
\[ \text{Profit} = \frac{20}{100} \times CP_1 = 0.2 \times CP_1 \]
Thus, we have:
\[ 1500 = CP_1 + 0.2 \times CP_1 \]
\[ 1500 = 1.2 \times CP_1 \]
Now, solving for \( CP_1 \):
\[ CP_1 = \frac{1500}{1.2} = 1250 \]

### Step 3: Calculate the Cost Price of the Second Table
The second table is sold at a loss of 20%.
Let the cost price of the second table be \( CP_2 \).

Using the formula for loss:
\[ SP = CP - \text{Loss} \]
The loss can be calculated as:
\[ \text{Loss} = \frac{20}{100} \times CP_2 = 0.2 \times CP_2 \]
Thus, we have:
\[ 1500 = CP_2 - 0.2 \times CP_2 \]
\[ 1500 = 0.8 \times CP_2 \]
Now, solving for \( CP_2 \):
\[ CP_2 = \frac{1500}{0.8} = 1875 \]

### Step 4: Calculate Total Cost Price and Total Selling Price
Now we can calculate the total cost price (TCP) and total selling price (TSP):
\[ TCP = CP_1 + CP_2 = 1250 + 1875 = 3125 \]
\[ TSP = 1500 + 1500 = 3000 \]

### Step 5: Determine Net Profit or Loss
Now we can find the net profit or loss:
\[ \text{Net Profit or Loss} = TSP - TCP = 3000 - 3125 = -125 \]
Since the result is negative, it indicates a loss.

### Step 6: Calculate the Loss Percentage
To find the loss percentage:
\[ \text{Loss Percentage} = \left(\frac{\text{Loss}}{\text{TCP}}\right) \times 100 = \left(\frac{125}{3125}\right) \times 100 = 4\% \]

### Final Answer
The net result is a loss of Rs 125, which corresponds to a loss percentage of 4%.

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