Math Problem Statement

the discount price is 75.00 pesos,and the item was sold for a 40% discount, what is the original pprice?

Solution

To find the original price of the item, we can use the following relationship between the original price and the discount:

Let PP be the original price of the item. The item was sold for a 40% discount, meaning the selling price (after discount) is 60% of the original price.

So, we have: 0.60×P=750.60 \times P = 75

Now, solve for PP (the original price): P=750.60=125P = \frac{75}{0.60} = 125

Thus, the original price of the item was 125.00 pesos.

Would you like more details, or do you have any further questions?

Here are 5 related questions:

  1. What is the formula for calculating the discount amount?
  2. How would you find the discount percentage if you know the original and sale prices?
  3. How can you calculate the original price if given the final price and discount rate?
  4. How does increasing the discount rate affect the final price?
  5. What would the final price be if the discount was 50% instead of 40%?

Tip: When dealing with percentage discounts, always express the percentage as a decimal for easier calculation!

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Math Problem Analysis

Mathematical Concepts

Percentages
Discounts
Algebra

Formulas

Discounted Price = Original Price × (1 - Discount Percentage)
Original Price = Discounted Price / (1 - Discount Percentage)

Theorems

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Suitable Grade Level

Grades 6-8