a) A product is sold with a 26.53% discount for 5000 ISK. How much did the product originally cost?

To find the original cost of a product before a discount, we can use the formula that relates the discounted price to the original price:

\[
\text{Discounted Price} = \text{Original Price} \times (1 - \text{Discount Percentage})
\]

Given:
- Discounted price = 5000 ISK
- Discount percentage = 26.53% (which is 0.2653 in decimal form)

We need to find the original price, which we will denote as \( x \).

\[
5000 = x \times (1 - 0.2653)
\]

Simplify the equation:

\[
5000 = x \times 0.7347
\]

To solve for \( x \), divide both sides by 0.7347:

\[
x = \frac{5000}{0.7347}
\]

Let's calculate the original price.

The original cost of the product was approximately **6805.50 ISK** before the 26.53% discount was applied.

Would you like to see the detailed steps or have any further questions?

### Related Questions:
1. How to calculate the final price after a percentage-based discount?
2. What is the formula for calculating percentage discounts?
3. How to find the discount percentage if the original and final prices are known?
4. How do different discounts affect profit margins?
5. What are common ways to calculate discounts in real-world scenarios?

**Tip:** When working with percentages, always convert them to decimal form by dividing by 100 to make calculations easier.

A product is sold with a 26.53% discount for 5000 ISK. How much did the product originally cost?

Learn how to calculate the original price of a product sold at a 26.53% discount with a final price of 5000 ISK. This problem involves key concepts of percentage calculations and algebra, perfect for students in Grades 6-8.

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