(a) Realized
gross profit recognized in 2005 under the installment method of accounting is
$87,375. When gross profit is expressed as a percentage of cost, it must be
converted to percentage of sales to compute the realized gross profit under the
installment method of accounting. Thus, 2004 and 2005 gross profits as a
percentage of sales are 20% and 21.875% respectively.
|
Sale Year
|
Gross Profit Percentage
|
2005 Collections
|
2002 Realized Profit
|
|
2004
|
.25/(1.00 + .25) = 20%
|
$240,000
|
$48,000
|
|
2005
|
.28/(1.00 + .28) = 21.875%
|
180,000
|
39,375
|
|
|
|
TOTAL
|
$87,375
|
(b) The balance of
“Deferred Gross Profit” could be reported on the balance sheet for 2005:
(1) As a current liability on the theory that it
is related to Installment Accounts Receivables that are normally treated as
current assets;
(2) As a deferred credit between liabilities and
stockholders’ equity. This treatment is criticized because there is no
obligation to outsiders; or
(3) As an adjustment or offset to the related
Installment Accounts Receivable. This is because the deferred gross profit is a
part of revenue from installment sales not yet realized. The related receivable
will be overstated unless the deferred gross profit is deducted. On the other
hand, the amount of deferred gross profit has no direct relationship with the
estimated collectibility of the accounts receivable.
It
is not a settled matter as to the proper classification of “deferred gross
profit” on the balance sheet when the installment method of accounting is used
to measure income.
(c) Gross
profit as a percent of sales in 2004 is 20% (as computed in (a) above); gross
profit therefore is $96,000 ($480,000 X .20) and the cost of 2004 sales is
$384,000 ($480,000 – $96,000). Because the amounts collected in 2004 ($140,000)
and 2005 ($240,000) do not exceed the total cost of $384,000, no profit is
recognized in 2004 or 2005 on 2004 sales. Also, no profit is recognized on 2005
sales since the collections of $180,000 do not exceed the total cost of
$484,375.
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