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Let's break down and solve the problem:

1. The shopkeeper buys a TV for Rs 2000 and a radio for Rs 750.
2. He sells the TV at a profit of 20%.
3. He sells the radio at a loss of 5%.
4. We need to determine the overall profit or loss.

### Step-by-Step Solution:

#### 1. Calculate the Selling Price of the TV
- **Cost Price of TV (CP)** = Rs 2000
- **Profit Percentage on TV** = 20%
  
\[
\text{Selling Price of TV (SP)} = \text{CP} + (\text{Profit Percentage} \times \text{CP})
\]
\[
= 2000 + (0.20 \times 2000) = 2000 + 400 = 2400
\]

#### 2. Calculate the Selling Price of the Radio
- **Cost Price of Radio (CP)** = Rs 750
- **Loss Percentage on Radio** = 5%
  
\[
\text{Selling Price of Radio (SP)} = \text{CP} - (\text{Loss Percentage} \times \text{CP})
\]
\[
= 750 - (0.05 \times 750) = 750 - 37.5 = 712.5
\]

#### 3. Calculate Total Cost Price and Total Selling Price
- **Total Cost Price (CP)** = 2000 + 750 = Rs 2750
- **Total Selling Price (SP)** = 2400 + 712.5 = Rs 3112.5

#### 4. Determine the Profit or Loss
Since the Total Selling Price is greater than the Total Cost Price, the shopkeeper made a profit.

\[
\text{Profit} = \text{Total Selling Price} - \text{Total Cost Price}
\]
\[
= 3112.5 - 2750 = 362.5
\]

#### 5. Calculate the Profit Percentage
\[
\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total Cost Price}} \right) \times 100
\]
\[
= \left( \frac{362.5}{2750} \right) \times 100 \approx 13.18\%
\]

### Answer
The shopkeeper made an approximate profit of 13.18%.

Would you like additional details on this solution, or have any further questions?

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Here are 5 related questions for further exploration:

1. What would the profit or loss be if he sold both items at a loss?
2. How would the profit change if the radio was sold at a 10% profit instead?
3. What is the effect of selling both items at exactly their cost prices?
4. How would a 10% tax on the selling price affect the profit percentage?
5. What would the selling prices be if he wanted a combined profit of 15%?

**Tip:** To quickly determine percentage-based profit or loss, use the formula directly on cost price with given percentage values.

A shopkeeper purchased a TV for Rs 2000 and a radio for Rs 750. He sells the TV at a profit of 20% and the radio at a loss of 5%. The total loss or gain is?

Learn how to calculate the overall profit or loss when a shopkeeper sells a TV at a 20% profit and a radio at a 5% loss. This problem covers essential concepts of percentage, profit, and loss, suitable for students in Grades 6-8.

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