Question

Difficulty: HardThree-Column Cash Book and Trade/Cash Discounts

A merchant's three-column cash book recorded the following transactions with a customer:
- Sold goods listed at 120,000₦120,000 subject to a 15%15\% trade discount.
- The customer settled half of the net invoice value by cheque within the prompt settlement period, receiving a 5%5\% cash discount.
- The remaining balance was settled later in cash, receiving a 2.5%2.5\% cash discount for early payment.

What is the total amount, in naira, recorded in the discount allowed column of the cash book for these transactions?

Answer: 3825

Answer

The total amount recorded in the discount allowed column is ₦3,825.
Trade discount of 15% (₦18,000) reduces the gross sales price from ₦120,000 to a net invoice amount of ₦102,000. Cash discounts apply only to cash payments made for prompt settlement and are calculated on the net invoice figure. The first settlement of half the account (₦51,000) earns a 5% discount equal to ₦2,550. The second settlement of the remaining ₦51,000 earns a 2.5% discount equal to ₦1,275. Adding both cash discounts yields a total of ₦3,825 entered in the discount allowed column.

Step-by-Step Solution

1
Calculate the net invoice value after trade discount
Net Invoice Value = ₦102,000
Trade discounts are deducted from catalog list prices prior to recording transactions and do not appear in cash book discount columns.
2
Calculate the cash discount allowed on the first settlement
First Cash Discount = ₦2,550
5% discount is calculated on the ₦51,000 portion being settled.
3
Calculate the cash discount allowed on the second settlement
Second Cash Discount = ₦1,275
2.5% discount is calculated on the remaining ₦51,000 portion being settled.
4
Sum all cash discounts granted to determine total discount allowed
Total Discount Allowed = ₦3,825
The discount allowed column on the debit side of the three-column cash book aggregates all cash discounts granted to customers.

Key Concept

Calculation and recording of cash discounts versus trade discounts in a three-column cash book
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