1. **State the problem:**
Jack Williams ordered products with a combined list price of 27393. The vendor offers trade discounts of 20%, 10%, and 10%. The invoice is dated September 4 with terms 3/15, n/30, and a shipping charge of 748.38.
We need to find:
(a) Total amount of invoice excluding shipping.
(b) Final discount date.
(c) Net payment date.
(d) Amount to pay in full on September 11 including shipping.
2. **Calculate the total amount excluding shipping:**
The list price is 27393.
Apply successive trade discounts: 20%, then 10%, then 10%.
Formula for successive discounts:
$$\text{Net Price} = \text{List Price} \times (1 - d_1) \times (1 - d_2) \times (1 - d_3)$$
where $d_1=0.20$, $d_2=0.10$, $d_3=0.10$.
Calculate:
$$\text{Net Price} = 27393 \times (1 - 0.20) \times (1 - 0.10) \times (1 - 0.10)$$
$$= 27393 \times 0.80 \times 0.90 \times 0.90$$
$$= 27393 \times 0.648$$
$$= 17743.464$$
3. **Find the final discount date:**
Terms 3/15 means a 3% discount if paid within 15 days from invoice date (September 4).
Final discount date = September 4 + 15 days = September 19.
4. **Find the net payment date:**
Terms n/30 means full payment due within 30 days from invoice date.
Net payment date = September 4 + 30 days = October 4.
5. **Calculate amount to pay on September 11 including shipping:**
September 11 is within the discount period (before September 19), so 3% discount applies.
Discount on net price:
$$\text{Discount} = 17743.464 \times 0.03 = 532.30392$$
Amount after discount:
$$17743.464 - 532.30392 = 17211.16008$$
Add shipping charge 748.38:
$$17211.16008 + 748.38 = 17959.54008$$
Rounded to two decimals:
17959.54
**Final answers:**
(a) 17743.46
(b) September 19
(c) October 4
(d) 17959.54
Invoice Discount De986B
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