Math Problem Statement

Andy paid 112.50 for a cap that originally costs 150 what is the percent discount given to Andy

Solution

To calculate the percent discount, we first need to determine the difference between the original price and the price Andy paid, then express that difference as a percentage of the original price.

Here's the formula for percent discount:

Percent Discount=(Original PriceSale PriceOriginal Price)×100\text{Percent Discount} = \left( \frac{\text{Original Price} - \text{Sale Price}}{\text{Original Price}} \right) \times 100

Given:

  • Original price = 150
  • Sale price (what Andy paid) = 112.50

Now, calculate the difference:

150112.50=37.50150 - 112.50 = 37.50

Then, use the formula:

Percent Discount=(37.50150)×100=25%\text{Percent Discount} = \left( \frac{37.50}{150} \right) \times 100 = 25\%

So, Andy received a 25% discount.

Would you like any further details or have additional questions?

Here are some related questions for practice:

  1. If the cap was priced at $200 and Andy paid $160, what is the percent discount?
  2. What would Andy pay if the discount was 30% on the same cap?
  3. If Andy had to pay $120 after a 20% discount, what was the original price?
  4. How much would Andy save if the discount were 40% instead of 25%?
  5. If the cap’s price after a discount was $105, and the original price was $150, what was the discount percentage?

Tip: To calculate percent discount easily, just subtract the sale price from the original price, divide the result by the original price, and multiply by 100.

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Math Problem Analysis

Mathematical Concepts

Percentage
Discount Calculation

Formulas

Percent Discount = ((Original Price - Sale Price) / Original Price) * 100

Theorems

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Suitable Grade Level

Grades 5-7