After a 70 % ​reduction, you purchase a new sofa on sale for ​$210.  What was the original price of the sofa​? What was the original price

To find the original price of the sofa before the 70% reduction, we can set up the following relationship:

Let the original price be $ x $.

After a 70% reduction, you're paying 30% of the original price. Therefore, we can write the equation:

\[
0.30 \times x = 210
\]

To find $ x $, divide both sides by 0.30:

\[
x = \frac{210}{0.30}
\]

Let's calculate the original price:

\[
x = 700
\]

The original price of the sofa was **$700**.

Would you like more details or have any further questions?

Here are 5 related questions for you:
1. If the sale was only a 50% reduction, what would the new price be?
2. What would the original price be if you paid $300 after a 70% reduction?
3. How much would the sofa cost after a 20% discount from the original price of $700?
4. If you got an additional 10% off the sale price of $210, what would you pay?
5. How do you calculate the final price after multiple percentage discounts?

**Tip**: When working with percentage reductions, always remember that the remaining percentage represents the part of the original price you are paying.

After a 70% reduction, you purchase a new sofa on sale for $210. What was the original price of the sofa?

Learn how to calculate the original price of a sofa after a 70% discount using simple percentage and algebra concepts. In this example, a $210 sale price was obtained after a 70% reduction. Suitable for students in Grades 6-8.

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