Final answer:
The retailer would receive a discount of $14.70 when applying the 3% discount on the net payable amount of $490 after subtracting returns and allowances from the initial purchase amount.
Step-by-step explanation:
If a retailer purchased inventory in the amount of $680, terms 3/10, n/60, returned $120 of the inventory for a full refund, and received an allowance for $70, we must first calculate the net amount payable after the returns and allowances to find the discount amount if the retailer remits payment within the discount window.
- Purchase amount: $680
- Less returns: -$120
- Less allowance: -$70
- Net amount: $680 - $120 - $70 = $490
- Discount percentage: 3%
To calculate the discount, apply the discount percentage to the net amount:
Discount = Net amount x (Discount percentage/100)
Discount = $490 x (3/100)
Discount = $490 x 0.03
Discount = $14.70
Therefore, the discount would be $14.70 if the payment is made within the discount window, which corresponds to option b) $14.70 (rounded to the options in the question).