A ream of paper was sold by a distributor for $21.26 after a trade discount of 15.6%. What is the amount of discount offered by the distributor? round to 2 decimals

To find the amount of the discount offered by the distributor, we can use the following steps:

1. **Let the original price be $ P $.**
2. **The discount rate is 15.6%, so the discount amount $ D $ can be calculated as:**
   \[
   D = P \times \frac{15.6}{100} = 0.156P
   \]
3. **After the discount, the price of the ream of paper is $21.26, so:**
   \[
   P - D = 21.26
   \]
4. **Substitute the expression for $ D $ into the equation:**
   \[
   P - 0.156P = 21.26
   \]
   \[
   0.844P = 21.26
   \]
5. **Solve for $ P $:**
   \[
   P = \frac{21.26}{0.844} \approx 25.19
   \]
6. **Now, calculate the discount amount $ D $:**
   \[
   D = 0.156 \times 25.19 \approx 3.93
   \]

So, the amount of discount offered by the distributor is **$3.93**.

Would you like more details or have any questions? 

Here are 5 related questions:
1. How do you calculate the selling price after a discount is applied?
2. What is the formula for calculating the original price before a discount?
3. How do different discount rates affect the final price of an item?
4. Can you calculate the final price if multiple discounts are applied sequentially?
5. How does the percentage discount relate to the actual dollar amount saved?

**Tip:** When calculating discounts, always double-check the percentage and ensure you're applying it to the correct base price.

A ream of paper was sold by a distributor for $21.26 after a trade discount of 15.6%. What is the amount of discount offered by the distributor? Round to 2 decimals.

Learn how to calculate the discount amount on a ream of paper sold for $21.26 after a 15.6% trade discount. This problem involves key algebraic concepts and percentage calculations, making it suitable for students in Grades 6-8.

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