Akhil bought a TV worth Rs 10000 and it cost Rs 200 to bring it home. If it is sold for Rs. 15656, what is the profit percentage?

To find the profit percentage, we need to first calculate the total cost incurred by Akhil, and then determine the profit made. The profit percentage can then be found using the formula:

\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \]

### Step 1: Calculate the Total Cost Price (CP)
The cost of the TV is Rs. 10,000, and the transportation cost is Rs. 200.

\[
\text{Total Cost Price (CP)} = 10000 + 200 = \text{Rs. 10200}
\]

### Step 2: Calculate the Selling Price (SP)
The selling price is given as Rs. 15656.

\[
\text{Selling Price (SP)} = \text{Rs. 15656}
\]

### Step 3: Calculate the Profit
Profit is the difference between the Selling Price and the Cost Price.

\[
\text{Profit} = \text{SP} - \text{CP} = 15656 - 10200 = \text{Rs. 5456}
\]

### Step 4: Calculate the Profit Percentage
\[
\text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100
\]

\[
\text{Profit Percentage} = \left( \frac{5456}{10200} \right) \times 100
\]

\[
\text{Profit Percentage} \approx 53.49\%
\]

**The profit percentage is approximately 53.49%.**

Would you like more details on any part of this calculation or have any other questions?

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Here are 8 related questions to further explore:

1. What is the formula for calculating the selling price if the profit percentage and cost price are known?
2. How would the profit percentage change if the transportation cost increased?
3. What is the difference between markup percentage and profit percentage?
4. If Akhil had sold the TV at a 10% discount, what would be the selling price?
5. How can the cost price be determined if the selling price and profit percentage are known?
6. What would be the loss percentage if the TV was sold for Rs. 9000?
7. How would you calculate the profit if additional expenses were incurred during the sale?
8. What is the break-even point in this scenario?

**Tip:** When calculating profit percentages, always include any additional costs incurred during the acquisition of goods to determine the accurate cost price.

Learn how to calculate profit percentage using an example problem. Understand the steps involved in determining profit and cost price, and applying the profit percentage formula. Suitable for students in Grades 6-8.

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