A discount clothing store buys shirts and slacks with a list price of $$ \$ 12,750 $$. If the wholesaler offers trade discounts of $$ 15 / 25 / 15 $$, find the single equivalent discount. Select one: a. 444375 b. .357896 c. 458125 d. .352852

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To determine the single equivalent discount for the sequential trade discounts of $$15\% / 25\% / 15$$, follow these steps:

1. **Understand Sequential Discounts:**
   - When discounts are applied sequentially, each discount is applied to the price after the previous discount has been deducted.
   
2. **Calculate the Remaining Price After Each Discount:**
   - After the first discount of $$15\%$$:
     $$
     \text{Remaining Price} = 1 - 0.15 = 0.85 \quad (85\%)
     $$
   - After the second discount of $$25\%$$:
     $$
     \text{Remaining Price} = 0.85 \times (1 - 0.25) = 0.85 \times 0.75 = 0.6375 \quad (63.75\%)
     $$
   - After the third discount of $$15\%$$:
     $$
     \text{Remaining Price} = 0.6375 \times (1 - 0.15) = 0.6375 \times 0.85 = 0.541875 \quad (54.1875\%)
     $$

3. **Determine the Total Single Equivalent Discount:**
   - The total remaining price after all discounts is $$54.1875\%$$.
   - Therefore, the total discount is:
     $$
     1 - 0.541875 = 0.458125 \quad (45.8125\%)
     $$

4. **Match with the Given Options:**
   - The calculated single equivalent discount is $$45.8125\%$$, which corresponds to option **c. 458125**.

**Answer:**  
**c. 458125**
The single equivalent discount is 45.8125%, which is option c. 458125.

A discount clothing store buys shirts and slacks with a list price of \( \$ 12,750 \). If the wholesaler offers trade discounts of \( 15 / 25 / 15 \), find the single equivalent discount. Select one: a. 444375 b. .357896 c. 458125 d. .352852

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