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

To find out how much the seller should sell the camera for to gain 8%, we'll first calculate the cost price (CP) using the initial gain of 5.5%, and then use that CP to find the new selling price for an 8% gain.

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

We use the formula:

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

Substituting the given values:

\[
2500 = \text{CP} \times \left(1 + \frac{5.5}{100}\right)
\]

\[
2500 = \text{CP} \times 1.055
\]

Now, solve for CP:

\[
\text{CP} = \frac{2500}{1.055} \approx 2370.14
\]

### Step 2: Calculate the New Selling Price for 8% Gain
Now that we have the cost price (CP), we can calculate the new selling price (SP) for an 8% gain.

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

Substituting the values:

\[
\text{SP} = 2370.14 \times 1.08 \approx 2559.75
\]

So, the seller should sell the camera for **₹2559.75** to gain 8%.

Would you like more details on this or have any further questions?

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Here are some related questions you might find helpful:

1. How much profit would the seller make if the camera was sold for ₹2559.75?
2. What would the selling price be if the gain percentage was 10% instead of 8%?
3. How can you calculate the loss percentage if the camera was sold for ₹2300?
4. What is the cost price if the camera was sold for ₹2600 at a gain of 8%?
5. How would the cost price change if the seller had made a 12% gain instead of 5.5%?
6. What formula would you use to calculate the selling price with a 15% gain?
7. How does the selling price change if the gain percentage increases by 3%?
8. If the cost price was ₹2400, what would be the selling price for a 6% gain?

**Tip:** When calculating percentages, ensure that you apply the correct percentage increase or decrease directly to the cost price or selling price.

Learn how to calculate the selling price required to gain 8% on a camera originally sold for ₹2500. This problem involves percentage calculations and profit determination. Suitable for students and anyone interested in business mathematics.

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