On selling a camera for ₹2500, the seller gains 5.5%. For how much should he sell it to gain 8%

To find the selling price required to gain 8%, we first need to determine the cost price (CP) of the camera.

### Step 1: Calculate the Cost Price (CP)
Given:
- Selling Price (SP) = ₹2500
- Gain Percentage = 5.5%

The formula to calculate the cost price when the selling price and gain percentage are known is:

\[
\text{Cost Price (CP)} = \frac{\text{Selling Price (SP)}}{1 + \frac{\text{Gain Percentage}}{100}}
\]

Substituting the values:

\[
\text{CP} = \frac{2500}{1 + \frac{5.5}{100}} = \frac{2500}{1.055} \approx ₹2369.67
\]

### Step 2: Calculate the New Selling Price for 8% Gain
Now, we need to calculate the new selling price to gain 8%.

\[
\text{New SP} = \text{CP} \times \left(1 + \frac{8}{100}\right)
\]

Substituting the value of CP:

\[
\text{New SP} = 2369.67 \times 1.08 \approx ₹2559.24
\]

Thus, the seller should sell the camera for **₹2559.24** to gain 8%.

Would you like any more details or have any questions?

Here are some related questions to consider:
1. How do you calculate profit percentage?
2. What is the formula to find the selling price with a desired gain percentage?
3. How would the selling price change if the gain percentage were 10% instead of 8%?
4. How does a decrease in cost price affect the selling price for the same profit percentage?
5. What if the selling price was fixed, how would the gain percentage be affected?
6. How does profit margin differ from profit percentage?
7. Can you calculate the cost price if the selling price and loss percentage are given?
8. What would be the selling price to gain 12% profit?

**Tip:** Always cross-check calculations involving percentages to avoid errors, especially in financial contexts.

Learn how to calculate the selling price to gain 8% profit on a ₹2500 camera sale. Detailed step-by-step solution including cost price calculation and selling price formula. Ideal for high school students and anyone interested in profit and loss calculations.

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