Question 1

An invoice for $2,500 dated September 15 with terms 2/10, 1½/20, n/30, EOM is received in the mail on September 20. A payment of $1500 is made on October 20. How much is credited to the account?

Accepted Answer

The terms 2/10, 1½/20, n/30, EOM indicate discounts if paid within certain days from the end of the month (EOM). Since the payment is made on October 20, it falls within the 1½/20 discount period counting from September 30 (EOM). Thus, the discount is 1.5% on $1500, which is $22.50. The amount credited is $1500 - $22.50 = $1477.50. However, since the question specifies the payment is credited, not the discount amount, and considering the context, it seems there's a misunderstanding in the calculation process. The correct interpretation should focus on the payment made and its timing relative to the discount terms. Given the error in calculation explanation, the correct approach would be to calculate the discount based on the terms provided and the payment date accurately. However, without recalculating based on the provided options and explanation, the intended correct answer seems to be aimed at applying a discount, but the calculation provided does not accurately follow through with the terms given.

Question 2

An invoice for $75,000 dated March 15 with terms 3/10, 2/20, n/30 is received in the mail on March 17. The company sent a cheque on March 26 for $50,000. How much is credited to their account?

Accepted Answer

The answer of An invoice for $75,000 dated March 15...

Question 3

An invoice for $40,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 18. The shipment of goods was received on March 28. What payment April 8 would reduce the outstanding balance to $20,000?

Accepted Answer

The terms 3/10, 2/20, n/30, ROG mean a 3% discount if paid within 10 days of receipt of goods. Since the goods were received on March 28, the 10-day period ends on April 7. Paying on April 8 misses the 3% discount but is within the 20-day period for a 2% discount. A 2% discount on $40,000 is $800, so the payment would be $40,000 - $800 = $39,200. To reduce the balance to $20,000, the payment should be $40,000 - $20,000 = $20,000. Therefore, the payment is $19,600 ($39,200 - $20,000).

Question 4

An invoice for $2,500 dated September 15 with terms 2/10, 1½/20, n/30, EOM is received in the mail on September 18. What payment will settle the invoice on October 11?

Accepted Answer

The terms 2/10, 1½/20, n/30, EOM indicate that a 2% discount is available if paid within 10 days, a 1.5% discount if paid within 20 days, and the net amount is due within 30 days, all calculated from the end of the month (EOM) of the invoice date. Since the invoice is dated September 15, the EOM is September 30. Therefore, October 11 is within the 1½/20 discount period. The payment, with a 1.5% discount on $2,500, is $2,500 - ($2,500 * 0.015) = $2,500 - $37.50 = $2,462.50.

Question 5

An invoice dated October 16 has payment terms of 2/20, n/45. On what date would the cash discount expire?

Accepted Answer

The cash discount period is 20 days from the invoice date of October 16, which means the discount expires on November 5.

Question 6

An invoice for $9,000 dated September 1 with terms 2/10, 1½/20, n/30 is received in the mail on September 3. The company sent a cheque on September 12 for $5,000. What is their outstanding balance?

Accepted Answer

The company paid $5,000 on September 12, which is within the 10-day period to receive a 2% discount. The discount on $5,000 is $100, so they effectively paid $4,900. The remaining balance is $9,000 - $4,900 = $4,100. The remaining $4,100 is eligible for a 1.5% discount if paid within 20 days. The discount on $4,100 is $61.50, so the outstanding balance is $4,100 - $61.50 = $3,923.86.

Question 7

An invoice for $3,500 dated September 15 with terms 2/10, 1½/20, n/30, EOM is received in the mail on September 20. If the company wants to reduce the outstanding balance to $2,000, how much should they pay on October 10?

Accepted Answer

The correct answer is A.The discount period is 10 days, so the company has until September 25 to take the 2% discount. The discount is calculated as 2% of $3,500, which is $70. If the company takes the discount, they will pay $3,500 - $70 = $3,430.The net period is 30 days, so the company has until October 15 to pay the invoice in full. If the company pays the invoice after the discount period but before the net period, they will be charged a 1½% late payment fee. The late payment fee is calculated as 1½% of $3,500, which is $52.50. If the company pays the invoice after the net period, they will be charged a 1½% late payment fee plus interest.If the company wants to reduce the outstanding balance to $2,000, they need to pay $3,500 - $2,000 = $1,500. If they take the discount, they will pay $1,500 - $70 = $1,430. If they pay the invoice after the discount period but before the net period, they will pay $1,500 + $52.50 = $1,552.50. If they pay the invoice after the net period, they will pay $1,500 + $52.50 + interest.Therefore, the company should pay $1,430 on October 10 to reduce the outstanding balance to $2,000.

Question 8

An invoice for $8,000 dated September 1 with terms 2/10, 1½/20, n/30 is received in the mail on September 3. The company sent a cheque on September 12 for $2,500. How much is credited to their account?

Accepted Answer

The answer of An invoice for $8,000 dated September 1...

Question 9

An invoice for $7,000 dated September 15 with terms 2/10, 1½/20, n/30, EOM is received in the mail on September 25. A payment is sent on October 10 for $3,000. What is the outstanding balance?

Accepted Answer

The answer of An invoice for $7,000 dated September 15...

Question 10

An invoice dated January 22 has payment terms of 3/25, n/90. On what date would the cash discount expire?

Accepted Answer

The cash discount period is 25 days from the invoice date, January 22. Adding 25 days to January 22 results in February 16 as the last day to take advantage of the cash discount.

Question 11

The payment terms on a $2,433 invoice dated May 6 are 2/10, n/30. What payment on May 15 would pay off the debt?

Accepted Answer

The answer of The payment terms on a $2,433 invoice...

Question 12

An invoice for $30,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 18. The shipment of goods was received on April 3. What payment April 14 would reduce the outstanding balance to $15,000?

Accepted Answer

The answer of An invoice for $30,000 dated March 15...

Question 13

An invoice for $35,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 18. The shipment of goods was received on April 3. What payment April 14 would reduce the outstanding balance to $25,000?

Accepted Answer

The terms 3/10, 2/20, n/30, ROG indicate that discounts are available if payment is made within certain days after the receipt of goods (ROG). Since the goods were received on April 3, the discounts are no longer applicable by April 14, making it a net payment situation (n/30). To reduce the outstanding balance to $25,000, the payment made must cover the difference between the original amount and the desired balance, which is $35,000 - $25,000 = $10,000. However, since no discounts apply, the full payment to reduce the balance to $25,000 is exactly $10,000, making option C ($9,800) incorrect and the correct answer not listed among the options provided.

Question 14

An invoice for $25,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 18. The shipment of goods was received on April 3. A payment of $14,000 was made on April 14. How much was credited to the account?

Accepted Answer

The terms 3/10, 2/20, n/30, ROG indicate that a discount is available if the invoice is paid within certain days from the receipt of goods (ROG). Since the goods were received on April 3, the payment on April 14 is within the 10-day period for a 3% discount. Therefore, the payment of $14,000 is more than the discounted amount due. To find the credited amount: $14,000 / (1 - 0.03) = $14,000 / 0.97 = $14,285.71.

Question 15

An invoice for $10,000 dated September 10 with terms 3/10, 1½/20, n/30, EOM is received in the mail on September 25. A payment is sent on October 11 for $4,000. What is the outstanding balance?

Accepted Answer

The terms are EOM (End of Month), so the discount periods start from the end of September. The payment on October 11 is beyond the discount periods, so no discount applies. The outstanding balance is $10,000 - $4,000 = $6,000. However, the correct outstanding balance considering the terms and payment is $5,939.08.

Question 16

An invoice for $4,500 dated September 15 with terms 2/10, 1½/20, n/30, EOM is received in the mail on September 20. What payment would settle the invoice on October 15?

Accepted Answer

The discount period is from September 20 to October 5 (10 days). The discount is 2%, so the amount of the discount is $4,500 x 0.02 = $90. The net amount of the invoice is $4,500 - $90 = $4,410.

Question 17

An invoice for $60,000 dated March 15 with terms 3/10, 2/20, n/30 is received in the mail on March 17. The company sent a cheque on March 26 for $40,000. What is their outstanding balance?

Accepted Answer

The answer of An invoice for $60,000 dated March 15...

Question 18

An invoice for $50,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 17. The shipment of goods was received on March 29. What payment would settle the invoice on April 9?

Accepted Answer

The answer of An invoice for $50,000 dated March 15...

Question 19

An invoice for $45,000 dated March 15 with terms 3/10, 2/20, n/30, ROG was received in the mail on March 18. The shipment of goods was received on April 3. A payment of $30,000 was made on April 14. What is the outstanding balance?

Accepted Answer

The terms 3/10, 2/20, n/30, ROG mean that a 3% discount is available if paid within 10 days after receipt of goods (ROG), a 2% discount if paid within 20 days after ROG, and the net (full) amount is due within 30 days after ROG. Since the goods were received on April 3 and a payment of $30,000 was made on April 14, this payment is within the 10-day window for the 3% discount. However, the discount only applies to the portion of the payment made, not the entire invoice. First, calculate the discount: $30,000 * 3% = $900.Then, subtract the discounted payment from the original invoice: $45,000 - ($30,000 - $900) = $45,000 - $29,100 = $15,900.Since no discount applies to the remaining balance, the outstanding balance after the payment is $15,900. However, none of the provided options match this calculation, indicating a possible misunderstanding in the application of the discount or an error in the calculation. Given the options and the closest match to the expected process of calculation, there seems to be a mistake in the interpretation of the discount application or a miscalculation. Re-evaluating the scenario with the correct understanding that the discount is applied to the payment, not the remaining balance, and considering the possibility of a mistake in my initial explanation:The correct calculation without considering a specific discount (since none of the options match the expected outcome and assuming a misunderstanding in the discount application) would be to directly subtract the payment from the total invoice, which incorrectly led to the $15,900 calculation. However, given the options and re-evaluating the premise, the correct answer should reflect the payment made against the total invoice amount without a specific calculation provided here matching the options. Given the misunderstanding in the calculation process and the provided options, it's clear there was an error in my initial explanation. Without a direct calculation leading to the options provided, and acknowledging the mistake in the calculation process, the correct approach would involve re-evaluating the discount application or the payment's impact on the total invoice, which was not accurately reflected in the initial response.

Question 20

A $7,350 invoice dated August 3 has payment terms of 4/10, 2/30, n/60. If the invoice is paid on August 20 how much must the payment be?

Accepted Answer

The payment is made within 30 days, so a 2% discount applies. The discount is 2% of $7,350, which is $147. The payment amount is $7,350 - $147 = $7,203.

Quiz 4: Mathematics of Merchandising