Math Problem Statement

If a store is having a 40% off sale and you buy an item that costs $75, how much will the cost of the item be after the discount is applied?

Solution

The question asks for the final price of an item after a 40% discount is applied to a $75 item.

To find the price after the discount:

  1. Calculate the discount amount:
    40% of $75 = 0.40×75=300.40 \times 75 = 30

  2. Subtract the discount from the original price:
    7530=4575 - 30 = 45

So, the final cost of the item after the 40% discount is $45.

Would you like more details or have any questions about this? Here are 5 related questions:

  1. What would the final price be if the discount was 50% instead of 40%?
  2. How do you calculate a 25% discount on any item?
  3. If tax is added after the discount, how do you include that in the final price?
  4. How much would the item cost if there was a 10% additional discount after applying the 40% discount?
  5. How can you calculate the original price if only the discounted price and percentage discount are known?

Tip: When calculating discounts, multiplying the original price by 1discount percentage1 - \text{discount percentage} in decimal form gives the final price directly.

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Math Problem Analysis

Mathematical Concepts

Percentages
Discount Calculation

Formulas

Discount Amount = (Discount Percentage / 100) * Original Price
Final Price = Original Price - Discount Amount

Theorems

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Suitable Grade Level

Grades 6-8