the price of an  item after discount is 75.00 pesos. what is the original price of the item if it was sold for 40% discount?

To find the original price of an item given the discounted price and the discount percentage, you can use the following formula:

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

Here, the discounted price is \( 75.00 \) pesos, and the discount percentage is \( 40\% \) or \( 0.40 \) in decimal form.

Let's plug in the values:

\[ \text{Original Price} = \frac{75.00}{1 - 0.40} \]
\[ \text{Original Price} = \frac{75.00}{0.60} \]
\[ \text{Original Price} = 125.00 \text{ pesos} \]

So, the original price of the item was \( 125.00 \) pesos.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How do you calculate the discount amount if you know the original price and the discount percentage?
2. What would be the final price of an item originally priced at 200 pesos after a 30% discount?
3. How can you determine the discount percentage if you know the original price and the discounted price?
4. What is the new discounted price if an additional 10% discount is applied to the already discounted price of 75.00 pesos?
5. If an item is sold for 90.00 pesos after a 25% discount, what is the original price?

**Tip:** Always convert percentage values to their decimal form by dividing by 100 before performing calculations.

The price of an item after discount is 75.00 pesos. What is the original price of the item if it was sold for a 40% discount?

Learn how to calculate the original price of an item sold for 75.00 pesos after a 40% discount. This step-by-step solution explains the percentage calculation formula and is suitable for students in Grades 6-8.

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