Final answer:
The discount applied if the customer remitted payment within the discount window after returning part of the merchandise and receiving an allowance would be $6.15, which is none of the options provided in the question.
Step-by-step explanation:
If a customer purchased merchandise in the amount of $340, terms 3/10, n/30, returned $70 of the inventory for a full refund, and received an allowance for $65, we need to determine how much discount would be applied if the customer remitted payment within the discount window.
First of all, we calculate the adjusted balance after the return and the allowance:
Original amount - Returned amount - Allowance = Adjusted amount.
$340 - $70 - $65 = $205.
Now, we apply the discount to the adjusted amount. Since the terms are 3/10, n/30, this means that the customer can take a 3% discount if they pay within 10 days. Therefore,
Discount = 3% of $205 = 0.03 × $205 = $6.15.
Hence, the discount applied would be $6.15, which is not among the options given (a) $10.20 (b) $9.30 (c) $8.50 (d) $7.70, indicating a potential mistake in the listed options or the question parameters.