The price of an item after discount is 75 pesos. What is the original price of the item if it was sold on a 40% discount?

To find the original price of the item before the 40% discount, we can use the following formula:

\[
\text{Original Price} = \frac{\text{Discounted Price}}{1 - \text{Discount Percentage}}
\]

Given:
- Discounted price = 75 pesos
- Discount percentage = 40% = 0.40

Now, substitute the values:

\[
\text{Original Price} = \frac{75}{1 - 0.40} = \frac{75}{0.60}
\]

\[
\text{Original Price} = 125 \, \text{pesos}
\]

So, the original price of the item was 125 pesos.

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. If an item is sold at a 25% discount and the discounted price is 150 pesos, what was the original price?
2. A product was discounted by 30% and its sale price is 280 pesos. What is the original price?
3. What is the percentage discount if an item originally costing 200 pesos is sold for 120 pesos?
4. If a 50% discount is applied to a product and its price becomes 200 pesos, what was the price before the discount?
5. After a 10% discount, a shirt costs 90 pesos. What was its original price?

**Tip:** To easily reverse percentage-based discounts, divide the sale price by the remaining percentage (i.e., \(1 - \text{discount rate}\)).

Learn how to find the original price of an item sold at a 40% discount when the discounted price is 75 pesos. This problem involves key percentage and algebra concepts, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation