Math Problem Statement

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?

Solution

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:

Discount amount=900×10100=90\text{Discount amount} = 900 \times \frac{10}{100} = 90

Discounted Price=90090=810\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:

Profit=810700=110\text{Profit} = 810 - 700 = 110

3. Calculate the profit percentage:

The profit percentage is calculated based on the cost price:

Profit percentage=(ProfitCost Price)×100=(110700)×10015.71%\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%.


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.

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Math Problem Analysis

Mathematical Concepts

Percentage
Profit and Loss
Discount Calculation

Formulas

Discounted Price = Original Price - (Original Price × Discount Percentage)
Profit = Selling Price - Cost Price
Profit Percentage = (Profit / Cost Price) × 100

Theorems

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Suitable Grade Level

Grades 6-8