A handbag is sold at the marked price of $750, and the percentage profit is 25%. Find the cost price of the handbag.

To find the cost price of the handbag, we can use the relationship between the selling price, cost price, and profit percentage.

Given:
- Selling Price (SP) = $750
- Profit Percentage = 25%

The formula for the selling price when profit percentage is given is:

\[
\text{Selling Price} = \text{Cost Price} + \text{Profit}
\]

\[
\text{Selling Price} = \text{Cost Price} \times \left(1 + \frac{\text{Profit Percentage}}{100}\right)
\]

Substituting the given values:

\[
750 = \text{Cost Price} \times \left(1 + \frac{25}{100}\right)
\]

\[
750 = \text{Cost Price} \times 1.25
\]

Now, solve for the Cost Price:

\[
\text{Cost Price} = \frac{750}{1.25} = 600
\]

So, the cost price of the handbag is **$600**.

Would you like more details or have any other questions?

Here are some related questions you might find helpful:
1. What would be the selling price if the profit percentage was 30%?
2. How much profit is made on the handbag if it is sold at $750?
3. If the cost price was $600 and the handbag was sold at $700, what would be the profit percentage?
4. How would the cost price change if the selling price remained $750, but the profit percentage was 20%?
5. What is the formula for finding the selling price given the cost price and profit percentage?

**Tip:** Always remember to convert the percentage into its decimal form when applying it in formulas.

Learn how to calculate the cost price of a handbag sold at $750 with a 25% profit. This solution covers essential concepts in algebra, profit and loss, and percentage calculations. Ideal for students in Grades 6-8.

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