At a sale this week, a desk is being sold for $533. This is a 35% discount from the original price. What is the original price?

To find the original price of the desk before the 35% discount, we can set up the equation based on the fact that the sale price is 65% of the original price (since 100% - 35% = 65%).

Let the original price be $ x $.

Since the sale price is 65% of the original price, we have the equation:

\[
0.65x = 533
\]

Now, solve for $ x $:

\[
x = \frac{533}{0.65}
\]

\[
x = 820
\]

So, the original price of the desk is **$820**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the final price if the discount were 40% instead of 35%?
2. How much would the desk cost after a 20% discount from the original price?
3. If the desk had been sold for $480, what would the percentage discount have been?
4. How much money is saved with a 35% discount on a $900 item?
5. If the price after a 50% discount is $400, what was the original price?

**Tip:** Discounts can be easily calculated by using percentages of the original price. Always subtract the discount percentage from 100% for these problems.

At a sale this week, a desk is being sold for $533. This is a 35% discount from the original price. What is the original price?

Learn how to calculate the original price of a desk sold at $533 after a 35% discount. This example covers percentage calculations and basic algebra, making it ideal for students in Grades 6-8.

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