A store originally prices a laptop at $900. It offers a 10% discount on this price. If the cost price of the laptop was $700, what is the profit percentage based on the discounted selling price?

First, let's break down the problem and calculate the necessary values step by step.

### 1. **Find the discounted price:**

The original price of the laptop is $900, and the discount is 10%. To find the discounted price:

\[
\text{Discount amount} = 900 \times \frac{10}{100} = 90
\]

\[
\text{Discounted Price} = 900 - 90 = 810
\]

So, the discounted price (selling price) is **$810**.

### 2. **Find the profit:**

The cost price of the laptop is $700, and the selling price is now $810. The profit is the difference between the selling price and the cost price:

\[
\text{Profit} = 810 - 700 = 110
\]

### 3. **Calculate the profit percentage:**

The profit percentage is calculated based on the cost price:

\[
\text{Profit percentage} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100 = \left(\frac{110}{700}\right) \times 100 \approx 15.71\%
\]

Thus, the profit percentage based on the discounted selling price is **15.71%**.

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Would you like more details or have any further questions? Here are 5 related questions you might find useful:

1. What would the profit percentage be if there was no discount?
2. How would the profit percentage change if the discount was 20%?
3. If the store had a target profit percentage, how could they adjust the discount?
4. What would the final price be if a sales tax of 8% is added to the discounted price?
5. How can we determine the break-even price for the store?

**Tip:** Always calculate percentages based on cost price when determining profit or loss percentages, unless specified otherwise.

Find out how to calculate the profit percentage on a laptop originally priced at $900 after a 10% discount, with a cost price of $700. This step-by-step solution covers essential concepts like discount calculation and profit percentage. Ideal for Grades 6-8 students.

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