Cash Collected 84B9E3
1. **State the problem:**
Calculate the final amount of cash collected on September 21 given the sales, discounts, returns, partial payment, and payment terms.
2. **Understand the terms and data:**
- Merchandise sold: 500,000 with 10-10 discount (meaning two successive 10% discounts).
- Terms: 20% down payment, balance 2/20, n/90 (2% discount if balance paid within 20 days, net due in 90 days).
- Freight: 10,000 FOB Destination, prepaid (freight cost borne by seller, not added to customer payment).
- Customer returned goods worth 40,000.
- Partial payment made: 200,000.
- Collection date: September 21 (20 days after September 1).
3. **Calculate net sales after discounts:**
Apply the two successive 10% discounts on 500,000:
$$500,000 \times (1 - 0.10) = 450,000$$
$$450,000 \times (1 - 0.10) = 405,000$$
4. **Subtract returns:**
$$405,000 - 40,000 = 365,000$$
5. **Calculate down payment (20% of net sales):**
$$365,000 \times 0.20 = 73,000$$
6. **Calculate balance after down payment:**
$$365,000 - 73,000 = 292,000$$
7. **Check if balance payment qualifies for 2% discount:**
Payment date is September 21, exactly 20 days after September 1, so 2% discount applies.
8. **Calculate discount on balance:**
$$292,000 \times 0.02 = 5,840$$
9. **Calculate amount due on balance after discount:**
$$292,000 - 5,840 = 286,160$$
10. **Calculate total amount due:**
Down payment + discounted balance =
$$73,000 + 286,160 = 359,160$$
11. **Account for partial payment:**
Partial payment made is 200,000, so remaining balance is:
$$359,160 - 200,000 = 159,160$$
12. **Final amount of cash collected on September 21:**
The customer pays the remaining balance on September 21, so the final cash collected on that date is:
$$159,160$$
**Answer:** The final amount of cash collected on September 21 is **159,160**.