A shopkeeper purchased a TV for Rs.2,000 and a radio for Rs.750. He sells the TV at a profit of 20% and ther radio at a loss of 5%. The total loss or gain is

Options

A. Gain Rs.353.50
B. Gain Rs.362.50
C. Loss Rs.332
D. Loss Rs.300

Answer

To solve the problem step by step, we will calculate the profit from the TV and the loss from the radio, and then determine the total gain or loss.

### Step 1: Calculate the Profit from the TV
The shopkeeper purchased the TV for Rs. 2000 and sells it at a profit of 20%.

**Profit Calculation:**
\[ \text{Profit on TV} = \text{Cost Price of TV} \times \text{Profit Percentage} \]
\[ \text{Profit on TV} = 2000 \times \frac{20}{100} = 2000 \times 0.2 = 400 \]

### Step 2: Calculate the Selling Price of the TV
To find the selling price of the TV, we add the profit to the cost price.

**Selling Price Calculation:**
\[ \text{Selling Price of TV} = \text{Cost Price of TV} + \text{Profit on TV} \]
\[ \text{Selling Price of TV} = 2000 + 400 = 2400 \]

### Step 3: Calculate the Loss from the Radio
The shopkeeper purchased the radio for Rs. 750 and sells it at a loss of 5%.

**Loss Calculation:**
\[ \text{Loss on Radio} = \text{Cost Price of Radio} \times \text{Loss Percentage} \]
\[ \text{Loss on Radio} = 750 \times \frac{5}{100} = 750 \times 0.05 = 37.5 \]

### Step 4: Calculate the Selling Price of the Radio
To find the selling price of the radio, we subtract the loss from the cost price.

**Selling Price Calculation:**
\[ \text{Selling Price of Radio} = \text{Cost Price of Radio} - \text{Loss on Radio} \]
\[ \text{Selling Price of Radio} = 750 - 37.5 = 712.5 \]

### Step 5: Calculate Total Profit or Loss
Now, we will calculate the total profit or loss by combining the profits and losses from both items.

**Total Profit/Loss Calculation:**
\[ \text{Total Profit} = \text{Profit on TV} - \text{Loss on Radio} \]
\[ \text{Total Profit} = 400 - 37.5 = 362.5 \]

### Conclusion
The total gain from the transactions is Rs. 362.5.