https://file.aiquickdraw.com/mathbot/file/1726234633655fgnaxkdj.jpg

The question in the image asks:

"When Sita sold her old magazines for ₹185, she made a loss of 26%. For how much should she have sold it if she wanted to make a profit of 10%?"

Let me solve it step by step.

### Step 1: Calculate the Cost Price (C.P.)
The formula for loss is:
\[
\text{Loss} = \left(\frac{\text{Loss %}}{100}\right) \times \text{Cost Price}
\]
Here, Loss % = 26% and Selling Price (S.P.) = ₹185.

So,
\[
185 = C.P. - \left(\frac{26}{100} \times C.P.\right)
\]
\[
185 = C.P. \times \left(1 - 0.26\right)
\]
\[
185 = 0.74 \times C.P.
\]
\[
C.P. = \frac{185}{0.74} = 250
\]

So, the cost price of the magazines is ₹250.

### Step 2: Calculate the Selling Price for 10% Profit
The formula for profit is:
\[
\text{Selling Price} = \text{Cost Price} + \left(\frac{\text{Profit %}}{100} \times \text{Cost Price}\right)
\]
For a 10% profit:
\[
\text{Selling Price} = 250 + \left(\frac{10}{100} \times 250\right)
\]
\[
\text{Selling Price} = 250 + 25 = 275
\]

So, she should have sold the magazines for **₹275** to make a 10% profit.

Would you like more details or have any questions about this solution?

### Related Questions:
1. What would be the selling price for a 20% profit?
2. How would the selling price change with a 15% loss instead?
3. What is the total loss amount she incurred when she sold at ₹185?
4. If the cost price was ₹300, how much should she sell for a 10% profit?
5. Can you explain the difference between markup and profit?

#### Tip:
Always calculate the cost price first when dealing with percentage-based loss or profit scenarios.

When Sita sold her old magazines for ₹185, she made a loss of 26%. For how much should she have sold it if she wanted to make a profit of 10%?

This problem helps you calculate the correct selling price for an item to achieve a 10% profit after incurring a 26% loss when selling it for ₹185. Learn how to apply key percentage and algebra concepts for profit and loss calculations. Suitable for students in Grades 8-10.

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