A buyer uses a periodic inventory system, and on December 5 , it purchases $$ \$ 4,000 $$ of merchandise on credit terms of $$ 2 / 10, n / 30 $$.

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UpStudy AI · Accepted Answer

To solve this problem, we need to analyze the purchase made by the buyer under the periodic inventory system and the credit terms provided.

### Known Conditions:
1. **Purchase Amount**: $$ P = 4000 $$
2. **Credit Terms**: $$ 2/10, n/30 $$
   - This means the buyer can take a 2% discount if the invoice is paid within 10 days. Otherwise, the net amount is due in 30 days.

### Steps to Solve:

1. **Calculate the Discount**:
   - If the buyer pays within 10 days, they can take a 2% discount on the purchase amount.
   - The discount can be calculated as:
     $$
     D = P \times \frac{2}{100}
     $$

2. **Calculate the Amount After Discount**:
   - If the discount is taken, the amount to be paid after the discount is:
     $$
     A = P - D
     $$

3. **Determine Payment Options**:
   - If the buyer pays within 10 days, they pay $$ A $$.
   - If they do not pay within 10 days, they pay the full amount $$ P $$.

Now, let's perform the calculations.

### Calculation of Discount and Amount After Discount:

1. Calculate the discount $$ D $$:
   $$
   D = 4000 \times \frac{2}{100} = 80
   $$

2. Calculate the amount after discount $$ A $$:
   $$
   A = 4000 - 80 = 3920
   $$

### Summary of Payment Options:
- If paid within 10 days: $$ \$ 3,920 $$
- If paid after 10 days: $$ \$ 4,000 $$

This concludes the analysis of the purchase under the periodic inventory system with the given credit terms.
If the buyer pays within 10 days, they pay \$3,920. If they pay after 10 days, they pay \$4,000.

A buyer uses a periodic inventory system, and on December 5 , it purchases \( \$ 4,000 \) of merchandise on credit terms of \( 2 / 10, n / 30 \).

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