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 prodat P 7275 O260 Ο 255 ○280

To determine the amount Sita should have sold her magazines for in order to make a profit of 27%, we can follow these steps:

### Step 1: Determine the Cost Price (CP)
Sita sold the magazines for ₹185 at a loss of 26%. Let's denote the cost price by \( \text{CP} \).

Given:
\[
\text{Selling Price (SP)} = \text{CP} - 26\% \text{ of CP}
\]
\[
185 = \text{CP} - 0.26 \times \text{CP}
\]
\[
185 = 0.74 \times \text{CP}
\]
\[
\text{CP} = \frac{185}{0.74} = 250
\]
So, the cost price \( \text{CP} \) is ₹250.

### Step 2: Calculate the Selling Price for a 27% Profit
If Sita wanted to make a 27% profit, she should have sold the magazines for:
\[
\text{New Selling Price (SP')} = \text{CP} + 27\% \text{ of CP}
\]
\[
\text{SP'} = 250 + 0.27 \times 250
\]
\[
\text{SP'} = 250 + 67.5 = 317.5
\]

So, Sita should have sold the magazines for **₹318** (rounded to the nearest whole number) to make a 27% profit.

However, since the options provided are different, let's carefully check the closest to this value. Since none of the provided options match exactly, it's possible that there was a mistake in rounding or calculation in the options.

**Final Answer:** The closest option would be **₹280**. However, if we stick strictly to our calculated answer, ₹318 would have been correct.

Let me know if you need more details or have any questions.

Here are 8 related questions you might find useful:
1. What would be the selling price for a 15% profit instead of 27%?
2. If Sita wanted a 30% loss, how much should she have sold it for?
3. How much loss did she incur in terms of actual money?
4. What was the percentage loss if Sita sold the magazines for ₹200?
5. How much should she have sold it for to break even (no profit, no loss)?
6. If Sita sold another item for ₹500 with a 10% loss, what was its cost price?
7. How does a change in profit percentage affect the selling price?
8. What if Sita sold the magazines for ₹300? What would be the profit or loss percentage?

**Tip:** Always check your final answer against the provided options, especially in multiple-choice scenarios.

Learn how to calculate the selling price to achieve a desired profit or to cover a loss based on Sita's sale of magazines. Includes step-by-step calculation with examples. Suitable for students in Grades 7-9.

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