Find CP:

a. SP = ₹9370

Profit = 15%

b. SP = 4280

Profit = 12.5%

To find the Cost Price (CP) when the Selling Price (SP) and Profit Percentage are given, we use the formula:

\[
\text{CP} = \frac{\text{SP}}{1 + \frac{\text{Profit\%}}{100}}
\]

Let's solve each part:

### Part (a)
Given:
- SP = ₹9370
- Profit = 15%

\[
\text{CP} = \frac{9370}{1 + \frac{15}{100}} = \frac{9370}{1 + 0.15} = \frac{9370}{1.15} = ₹8147.83
\]

### Part (b)
Given:
- SP = ₹4280
- Profit = 12.5%

\[
\text{CP} = \frac{4280}{1 + \frac{12.5}{100}} = \frac{4280}{1 + 0.125} = \frac{4280}{1.125} = ₹3804.44
\]

### Final Answers:
1. For Part (a): CP = ₹8147.83
2. For Part (b): CP = ₹3804.44

Would you like further details or have any questions?

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Here are some related questions you might explore:

1. How do you calculate the selling price if the cost price and profit percentage are given?
2. What would be the loss percentage if the selling price is less than the cost price?
3. How do you calculate the profit percentage if the cost price and selling price are known?
4. If the profit percentage increases, how does it affect the selling price?
5. Can you calculate the profit percentage if the cost price is unknown?
6. What is the relationship between profit percentage and cost price?
7. How does a decrease in cost price affect the profit margin?
8. What happens to the selling price if the profit percentage is reduced to 10%?

**Tip:** Always ensure to convert percentage values to their decimal form before using them in formulas.

Learn how to calculate the Cost Price (CP) from the Selling Price (SP) and Profit Percentage with detailed examples. Solve Part (a) with SP = ₹9370, Profit = 15% and Part (b) with SP = ₹4280, Profit = 12.5%. Get step-by-step solutions and understand the formula used. Ideal for high school students learning profit and loss calculations.

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