**Solve the problem. Round to the nearest cent.**

The list price of a keyboard is $597. If the series discount offered is 10/25/35, what is the net cost after trade discounts?

A.

$261.93

B.

$335.07

C.

$179.10

D.

$417.90

To solve this problem, we need to apply the series of trade discounts (10%, 25%, and 35%) sequentially to the list price of the keyboard, which is $597.

### Step-by-step calculation:

1. **First discount (10%)**:  
   The first discount is 10% of the list price.  
   \[
   10\% \text{ of } 597 = 597 \times 0.10 = 59.70
   \]
   Subtracting this from the list price:  
   \[
   597 - 59.70 = 537.30
   \]

2. **Second discount (25%)**:  
   The second discount is 25% of the remaining amount after the first discount, which is $537.30.  
   \[
   25\% \text{ of } 537.30 = 537.30 \times 0.25 = 134.33
   \]
   Subtracting this from the remaining amount:  
   \[
   537.30 - 134.33 = 402.98
   \]

3. **Third discount (35%)**:  
   The third discount is 35% of the remaining amount after the second discount, which is $402.98.  
   \[
   35\% \text{ of } 402.98 = 402.98 \times 0.35 = 141.04
   \]
   Subtracting this from the remaining amount:  
   \[
   402.98 - 141.04 = 261.94
   \]

### Final result:
The net cost after the series of trade discounts is approximately **$261.94**, which rounds to **$261.93**.

Thus, the correct answer is:

**A. $261.93**

---

Do you have any questions or want further details? Here are 5 related questions to expand your understanding:

1. What would the net cost be if the series of discounts were 15/20/30 instead?
2. How do trade discounts affect the overall profitability for a business?
3. What is the cumulative percentage of discount applied in this case?
4. How would the net cost change if only a single discount of 40% was applied instead of the series?
5. Can you find a formula to calculate the final price after multiple successive discounts?

**Tip:** When applying multiple discounts, it's important to apply each one sequentially on the reduced price, not on the original price.

The list price of a keyboard is $597. If the series discount offered is 10/25/35, what is the net cost after trade discounts?

Learn how to calculate the net cost of a $597 keyboard after applying a series of trade discounts: 10%, 25%, and 35%. This step-by-step guide covers essential concepts like percentage-based discounts and sequential application of trade discounts, perfect for Grades 10-12.

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