Final answer:
The amount due to the vendor on August 9 for merchandise purchased for $1,000 with terms of sale 2/10, n/30 is $980, after taking the 2% discount.
Step-by-step explanation:
If merchandise is purchased for $1,000 on August 1, with terms of sale 2/10, n/30, this means that the buyer can take a 2% discount off the total invoice amount if they pay within 10 days of the invoice date. If they choose not to take this discount, the full amount is due within 30 days of the invoice date without any discount. Therefore, if the payment is made on August 9, which is within the 10 days for the cash discount, the buyer is entitled to a 2% discount on the $1,000. To calculate the discount, we multiply $1,000 by 2% (0.02), which gives us $20. Subtracting this discount from the original amount of $1,000 leaves us with $980 due on August 9.