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1 | Page Installment Sales HANDOUT 1 A. Aguilar Corporation started operations on January 1, 2011 selling home appliances and furniture sets both for cash and on instalment basis. Data on the instalment sales operations of the company gathered for the years ending December 31, 2011 and 2012 were as follows: 2011 2012 Installment Sales 200,000 250,000 Cost of Installment Sales 120,000 175,000 Cash Collected on Installment Sales 2011 Installment Sales 2012 Installment Sales 105,000 75,000 150,000 Required: 1. Deferred Gross Profit on December 31, 2011 2. Realized Gross Profit on December 31, 2011 3. Realized Gross Profit on December 31, 2012 and 2011 Installment Sales 4. Realized Gross Profit on December 31, 2012 on 2012 Installment Sales 5. Deferred Gross Profit on December 31, 2012 (Assuming the problem stated Cost Recovery method is used.) 6. Deferred Gross Profit on December 31, 2011 7. Realized Gross Profit on December 31, 2012 on 2011 Installment Sales (Assuming the problem stated Profit Realization method is used.) 8. Deferred Gross Profit on December 31, 2011 9. Realized Gross Profit on December 31, 2012 B. The Vetus Inc. sold a fitness equipment on instalment basis on October 1, 2011. The unit cost to the company was 60,000 but the instalment selling price was set to 85,000. Terms of payment included the acceptance of a used equipment given a trade-in value of 30,000. Cash of 5,000 was paid in addition to the added trade-in equipment with the balance to be pain in ten (10) monthly instalments due at the end of each month of sale. It would require 1,250 to recondition the used equipment so that it would be resold for 25,000. A 15% gross profit rate was usual from the sale of used equipment. 10. Realized Gross Profit during 2011 C. The Ducut Furniture Company appropriately used the instalment sales method in accounting for the following instalment sale. During 2008, Molino sold furniture to an individual for 3,000 at a gross profit of 1,200. On June 1, 2008, this instalment account receivable had a balance of 2,200 and it was determined that no other collections would be made. Ducut, therefore, repossessed the merchandise. When reacquired, the merchandise was appraised as being worth only for 1,000. In order to improve its salability, Bengal incurred costs of 100 for reconditioning. Normal profit on resale is 200.

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Page 1: 102138714-1-Installment-Sales-Lecture-Handout-Solution.pdf

1 | P a g e I n s t a l l m e n t S a l e s

HANDOUT 1

A. Aguilar Corporation started operations on January 1, 2011 selling home appliances and furniture

sets both for cash and on instalment basis. Data on the instalment sales operations of the

company gathered for the years ending December 31, 2011 and 2012 were as follows:

2011 2012

Installment Sales 200,000 250,000

Cost of Installment Sales 120,000 175,000

Cash Collected on Installment Sales 2011 Installment Sales 2012 Installment Sales

105,000

75,000

150,000

Required:

1. Deferred Gross Profit on December 31, 2011

2. Realized Gross Profit on December 31, 2011

3. Realized Gross Profit on December 31, 2012 and 2011 Installment Sales

4. Realized Gross Profit on December 31, 2012 on 2012 Installment Sales

5. Deferred Gross Profit on December 31, 2012

(Assuming the problem stated Cost Recovery method is used.)

6. Deferred Gross Profit on December 31, 2011

7. Realized Gross Profit on December 31, 2012 on 2011 Installment Sales

(Assuming the problem stated Profit Realization method is used.)

8. Deferred Gross Profit on December 31, 2011

9. Realized Gross Profit on December 31, 2012

B. The Vetus Inc. sold a fitness equipment on instalment basis on October 1, 2011. The unit cost to

the company was 60,000 but the instalment selling price was set to 85,000. Terms of payment

included the acceptance of a used equipment given a trade-in value of 30,000. Cash of 5,000

was paid in addition to the added trade-in equipment with the balance to be pain in ten (10)

monthly instalments due at the end of each month of sale. It would require 1,250 to recondition

the used equipment so that it would be resold for 25,000. A 15% gross profit rate was usual

from the sale of used equipment.

10. Realized Gross Profit during 2011

C. The Ducut Furniture Company appropriately used the instalment sales method in accounting for

the following instalment sale. During 2008, Molino sold furniture to an individual for 3,000 at a

gross profit of 1,200. On June 1, 2008, this instalment account receivable had a balance of 2,200

and it was determined that no other collections would be made. Ducut, therefore, repossessed

the merchandise. When reacquired, the merchandise was appraised as being worth only for

1,000. In order to improve its salability, Bengal incurred costs of 100 for reconditioning. Normal

profit on resale is 200.

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2 | P a g e I n s t a l l m e n t S a l e s

11. What should be the loss on repossession attributable to this merchandise?

D. Bartolome Company sells appliances on the instalment basis. Below are the information for the

past three years:

2008 2007 2006

Installment Sales 750,000 600,000 400,000

Cost of IS 450,000 375,000 260,000

Collections on 2008 IS 2007 IS 2006 IS

275,000 180,000 125,000

240,000 120,000

150,000

Repossessions on defaulted accounts included one made on a 2008 sale for which the unpaid

balance amounted to 5,000. The FMV after incurring a reconditioning cost of 500 is 5,500.

Required:

12. Realized Gross Profit in 2008 on collections of 2008 installment sales

13. Deferred Gross Profit, end on December 2008 installment sales

14. Loss on Repossession

LDMM, CPA. 2011. INSTALLMENT SALES [BASIC]

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3 | P a g e I n s t a l l m e n t S a l e s

HANDOUT 2

INSTALLMENT SALES

A. The partial trial balance of Oribiana Products is presented below for December 31,2011:

Accounts Receivable ..............................................................P 34,000

Installment Accounts Receivable, 2011 .................................... 192,000

Installment Accounts Receivable, 2010 .................................... 90,000

Installment Accounts Receivable, 2009 .................................... 22,000

Merchandise Inventory ............................................................48,000

Purchases ............................................................................... 238,000

Freight In .................................................................................12,000

Repossessed Merchandise ....................................................... 14,000

Selling Expenses ...................................................................... 92,000

Loss on Repossession, 2011 ....................................................... 16,000

Loss on Repossession, 2009 ....................................................... 8,000

Doubtful Account Charge Sales .................................................. 1,000

Cash Sales ................................................................................. 60,000

Charge Sales .............................................................................. 120,000

Installment Sales ....................................................................... 300,000

Unrealized gross profit, 2010 ...................................................... 56,000

Unrealized gross profit, 2009 ...................................................... 32,000

Additional information:

a) Merchandise inventory on December 31, 2011 (including new and repossessed merchandise}

was P52,000.

b) Charge sales prices and installment sales prices were higher than cash sales prices by 20% and

25%, respectively.

c) Installment sales in 2009 and 2010 had gross profit rates of 40% and 35% respectively.

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4 | P a g e I n s t a l l m e n t S a l e s

d) The following is the summary of the repossession account on December 31, 2011:

Year of Sale FMV of Mdse Loss Installment Contracts Receivable

2009 2,000 8,000 10,000

2011 12,000 16,000 28,000

14,000 24,000 38,000

e) The unrealized gross profit balances shown above were the amounts as of January 1, 201 1 and

were not adjusted during the year.

Required:

1. Total Sales for 2011, if all sales were on cash basis

2. The cost of goods sold on instalment sales for 2011 should be:

3. The total realized gross profit

4. The net income (loss) for the year 2011

5. The cash collections in instalment sales for the year 2011

B. On September 30,2011, Melencio Instruments. Inc. sold for P32,000 a piano costing P20,000, The

downpayment was P3,200, and the balance was to be paid on 12 installments at the end of each

succeeding month using present value. Interest at 1% a month was charged on the unpaid balance of

the contract, with payments applying first to accrued interest and the balance to principal. After three

instalment payments, the customer defaulted. The piano was repossessed in March 1, 2012. It was

estimated that the piano had a fair value of 11,500 after reconditioning costs of P300. The present value

factors are:

Present Value of P1 at 1% for 12 periods ........................ 0.8874

Present Value of P1 at 1% Tor 12 periods ........................ 1 1.2551

Required:

6. Total collections as to interest for the year 2011

7. Total collections as to principal for the year 2011

8. The realized gross profit on instalment sales for the year 2011

9. The gain (loss) on repossession in March 1, 2012

LDMM, CPA. 2011. INSTALLMENT SALES [SPECIAL]

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Installment Sales – series of payments over a long period of time.

1) Conditional Sales – pag fully paid ka na, saka mo lang makukuha ang title.

2) Custodial Sales – sa 3rd

party mo kukunin ang title.

3) Lien Arrangement – mortgage, pag nagdefault ka sa payments, babawiin ng seller.

Recognition of Gross Profit

1) Time of Sale – may “reasonably assured” na phrase. Parang sa cash sale ang treatment.

Installment Sales

(Cost of Installment Sales)

Gross Profit on Installment Sales

2) Time of Collection – kung kalian lang nacollect saka ka lang magrerealize ng gross profit.

a. Cost Recovery Method – tinatawag ding “hybrid approach” or “zero profit approach”. Dito, pag

nagkaroon ka ng collection, iuubos mo munang ilagay sa pagrerecover ng cost, (collection –

recovered cost = gross profit) kung may sobra, may realized gross profit ka na, kung wala, zero.

b. Profit Realization Method – iuubos mo muna yung collection mo sa dapat na profit na

matatanggap mo, (collection – gross profit = recovered cost) kung may sobra, ilalagay mo yun sa

cost, kung wala, zero ang cost mo na irerecognize.

c. Installment Method – dito naman, kukunin mo yung ratio ng gross profit mo para makapagrealize

na ng profit, yung sobra sa cost mo ilalagay. Parehong may value na makukuha yung profit at cost

of installment sales mo. Ito ang gagamitin kapag silent ang problem.

Installment Sales

(Cost of Installment Sales)

Gross Profit on Installment Sales

Gross Profit on Installment Sales ÷ Installment Sales = Gross Profit Rate

(Gross Profit Rate) * (Collection) = Realized Gross Profit

Collection – Realized Gross Profit = Recovered Cost

Generally, deferred talaga ang GP sa IS.

Ang normal balance ng:

a. IS – credit

b. CGS – debit

COIS = SOIS when it comes to their amounts.

DGP – Deferred Gross Profit

RGP – Realized Gross Profit

Cash Collection Components

1) Cash

a. Down Payment

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6 | P a g e I n s t a l l m e n t S a l e s

b. Installment Payment

2) Actual Value of Merchandise

IAR, beginning

(GPR) DGP, beginning

(IAR, defaulted) (DGP on IAR, defaulted)

(IAR, written-off) (DGP on IAR, written-off)

IAR, unadjusted DGP, unadjusted

(Collections) (RGP)

IAR, end DGP, end

Beginning Inventory

Net Purchases

Freight-in

Total Goods Available for Sale (Regular and Installment)

(COIS)

Total Goods Available for Sale (Regular)

▂ ▃ ▅ ▆ █ EXAMPLE █ ▆ ▅ ▃ ▂

Installment Sales P 1,000,000

Shipment on Installment Sales 600,000

Collections:

Year 1 300,000

Year 2 400,000

1. Realized Gross Profit, Recovered Cost on Year 1 and Year 2 using Cost Recovery Method

2. Realized Gross Profit, Recovered Cost on Year 1 and Year 2 using Profit Realization Method

3. Realized Gross Profit, Recovered Cost on Year 1 and Year 2 using Installment Method

Cost Recovery Method

Ang sabi, magrerecover ka muna ng cost bago ka magrealize ng profit. Sa Year 1, ang collection mo ay

300,000 ang dapat mong cost ay 600,000.

300,000 collection1 – 600,000 cost = (300,000) balance sa cost

Since hindi mo pa narerecover yung remaining 300,000 cost sa Year 1, wala ka pang irerecognize na

profit, defaulted muna yung 400,000 profit mo.

Sa Year 2, nakacollect ka ng 400,000, since may babawiin ka pang balance sa cost na 300,000,

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400,000 collection2 – 300,000 unrecovered cost1 = 100,000 ang realized profit mo.

Ngayong nabawi mo na lahat ng cost mo, pwede ka nang magrecognize ng profit.

Year 1 Year 2

Realized Gross Profit 0 100,000

Recovered Cost 300,000 300,000

Profit Realization Method

Magrerealize ka muna ng gross profit mo bago ka magrecover ng cost. Kung ang collection mo ay

300,000 sa Year 1, lahat yun ilalagay mo as profit at yung natitirang balance, irerealize mo naman next

year.

Year 1 Year 2

Realized Gross Profit 300,000 100,000

Recovered Cost 0 300,000

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Installment Method

Iapply mo muna yung formula sa pagkuha ng gross profit rate.

IS – COIS = GP ÷ IS = GPR

1,000,000 – 600,000 = 400,000 ÷ 1,000,000 = 40%

Next, aalamin mo kung magkano ang nakolekta mo sa year na tinatanong saka mo imumultiply sa GPR.

300,000 collection1 * 40% GPR1 = 120,000 ang allocated amount para sa gross profit realization para sa

Year 1. On the other hand,

300,000 collection1 – 120,000 profit1 = 180,000 ang allocated sa cost on installment sales mo.

For Year 2:

400,000 collection2 * 40% GPR1 = 160,000 allocated profit

400,000 collection2 – 160,000 profit2 = 240,000 allocated cost

Year 1 Year 2

Realized Gross Profit 120,000 160,000

Recovered Cost 180,000 240,000

▂ ▃ ▅ ▆ █ HANDOUT #1 █ ▆ ▅ ▃ ▂

Problem A

2011 2012

Installment Sales 200,000 250,000

Cost of Installment Sales 120,000 175,000

Cash Collected

a. 2011 Installment Sales

b. 2012 Installment Sales

105,000

75,000

150,000

1. Deferred Gross Profit on December 31, 2011

RGP = Collections * GPR

DGP = GP – RGP

GPR = (IS – COIS = GP ÷ IS)

GPR: 200T – 120T = 80T ÷ 200T = 40%

RGP: 105T * 40% = 42T

DGP: 80T – 42T = 38T

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9 | P a g e I n s t a l l m e n t S a l e s

2. Realized Gross Profit on December 31, 2011

RGP = 42T

3. Realized Gross Profit on December 31, 2012 on 2011 Installment Sales

RGP on 12/31/12 on 2011 IS = yung collection mo nung 2012 sa sales mo ng 2011, in this case, yung

75,000 yung nacollect mo noong 2012 para sa sales ng 2011. Kung para sa IS ng isang year, yung

GPR ng corresponding year na yun ang gagamitin mo. Kung on 2011 IS, GPR ng 2011 ang gagamitin

mo sa 75,000. Kung on 2012 IS, GPR naman ng 2012 ang iaapply mo.

GPR 2011: = 40%

RGP: 75T * 40% = 30T

4. Realized Gross Profit on December 31, 2012 on 2012 Installment Sales

Katulad ng nasa #3, ang pagkakaiba lang, yung 150,000 yung collection na gagamitin mo, kasi yun

yung amount na nacollect mo para sa 2012 IS mo. In this scenario, yung GPR mo na iaapply ay yung

GPR mo sa 2012.

GPR 2012: 250T – 175T = 75T ÷ 250T = 30%

RGP 2012 on 2012: 150T * 30% = 45T

5. Deferred Gross Profit on December 31, 2012 related to 2011 and 2012 Installment Sales

Pwede rin iaapply ang question na ito kung hindi sinabi kung anong year ang hinahanapan ng DGP

(walang “on XX Installment Sales”), iaassume mo na DGP for 2011 and 2012 ang tinatanong.

Hanapin mo muna ang IAR, Beg 2011; Collections 2011. Kadalasan ang IAR, Beg ay ang amount ng

IS para sa unang year ng operations. So dito,yung IAR, Beg 2011 mo ay 200,000; Collections 2011 ay

105,000.

IAR, End 2011 = IAR, Beg 2011 – Collections 2011 – Collections 2012

IAR, End 2011 = IAR, Beg 2012

IAR, End 2012 = IAR, Beg 2012 – Collections 2012

RGP 2012 related to 2011 and 2012 = RGP related to 2011 + RGP related to 2012

IAR, End 2011: 200T – 105T – 75T = 20T

RGP r2011: 20T * 40% = 8T

IAR, Beg 2012: = 20T

IAR, End 2012: 250T – 150T = 100T

RGP r2012: 100T * 30% = 30T

RGP r2011-2012: 8T + 30T = 38T

Assuming that Cost Recovery Method is used:

6. Deferred Gross Profit on December 31, 2011

DGP 2011 CRM = yung di mo lang nacollect na GP after mong iexhaust yung cost sa stated na year.

DGP 2012 = Collections 2012 – COIS; pag negative, GP = DGP lang

DGP 2012: 105T – 120T = (15T) = 80T

7. Realized Gross Profit on December 31, 2012 on 2011 Installment Sales

RGP 2012 on 2011 CRM = kung ano ang amount ng collections after deducting COIS.

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RGP 2012 on 2011: 105T – 120T = (15T) + 75T = 60T

Assuming that Profit Realization Method is used:

8. Deferred Gross Profit on December 31, 2011

DGP 2011 PRM = yung nacollect mo as GP out of your collections sa year stated.

DGP 2011 PRM = Collections 2011 – GP = kung negative ang sagot, yun ang DGP 2011 PRM pag

positive, zero ang sagot.

DGP 2011 PRM: 105T – 80T = 25T = 0

9. Realized Gross Profit on December 31, 2012

Yung RGP 2012 PRM naman, ieexhaust mo yung profit bago mag exhaust ng cost, kapag collections >

profit, 100% mong nakuha yung profit mo, so irerealize mo yung computed GP mo 100%, kung

collections < profit, kung ano ang amount ng collection mo, yun ang sagot mo sa RGP 2012 PRM.

RGP 2012 PRM: 250T – 175T = 75T – 150T = (75T) = 75T

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Repossession – dadating yung time na hindi na makakabayad yung buyer mo, kaya ang gagawin mo,

babawiin mo yung nabili nya sayo. Ang kadalasang tanong dito ay “How much is the loss on

repossession?” kasi madalas loss ang makukuha mo, pero take note, hindi palagi, may instances na gain

ang masosolve mo.

Resale Value

(Reconditioning Cost)

(Normal Profit)

(Disposal Cost)

Fair Market Value of Repossessed Merchandise/Appraised Value/Net Realizable Value/True

Worth/Wholesale Value

Compare:

FMV of Repossessed Merchandise = Unrecovered Cost

FMV of Repossessed Merchandise > Unrecovered Cost

FMV of Repossessed Merchandise < Unrecovered Cost

NO Gain (Loss)

Gain

Loss

Unrecovered Cost = IAR, defaulted * Cost Ratio

Cost Ratio = 100% – GPR

If the question is:

a) How much is the loss on repossession? Ans: Computed Loss; 0 if Gain

b) How much is the loss on repossession to be recognized? Ans: Computed Loss; 0 if Gain

c) How much is the gain on repossession? Ans: Computed Gain; 0 if Loss

d) How much is the gain on repossession to be recognized? Ans: 0 if Gain (Loss)

e) Assuming that the merchandise is sold to an outsider, how much is the gain on repossession to be

recognized? Ans: Computed Gain; 0 if Loss

▂ ▃ ▅ ▆ █ HANDOUT #1 █ ▆ ▅ ▃ ▂

Problem C

Selling Price P 3,000

Gross Profit 1,200

IAR Balance 2,200

Appraised Value 1,000

Reconditioning Cost 100

Normal Profit 200

1. Loss on Repossession

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Kapag ang tanong ay Repossession, kunin mo muna ang FMV of Repossessed Merchandise, sa

problem, given na 1,000. Ang problema, hindi given ang Unrecovered Cost, so hahanapin mo.

URC = IAR, defaulted * CR

CR = 100% – GPR

CR: 3T – 1.2T = 1.8T ÷ 3T = 60%

URC: 2.2T * 60% = 1.32T

1T FMV < 1.32T UC: 1T – 1.32T = (320)

How much is the loss on repossession? 320

How much is the loss on repossession to be recognized? 320

Assuming that FMV > UC

How much is the gain on repossession? 320

How much is the gain on repossession to be recognized? 0

Assuming that the merchandise is sold to an outsider

How much is the gain on repossession to be recognized? 320

Problem D

Installment Sales 2008 2007 2006

Cost of Installment Sales 750,000 600,000 400,000

Collections 450,000 375,000 260,000

2008

2007

2006

275,000

180,000 240,000

125,000 120,000 150,000

Repossession 2008:

Unpaid Balance 5,000

Resale Value 5,500

Reconditioning Cost 500

1. Realized Gross Profit in 2008 on collections of 2008 Installment Sales

Sa RGP, kukunin mo muna yung collections mo at GPR para macompute yung RGP.

GPR: 750T – 450T = 300T ÷ 750T = 40%

RGP: 275T * 40% = 110T

2. DGP, End in December 31, 2008 Installment Sales

Sa DGP, End, hahanapin mo muna yung IAR, End bago mo imultiply sa GPR.

GPR: = 40%

IAR, End: 750T – 5T – 275T = 470T

DGP, End: 470T * 40% = 188T

3. Loss on Repossession

Loss on Repossession ang tanong kaya kukunin mo yung FMV of RM gamit yung RV-RC-DC-NP =

FMV of RM. Then icocompare mo sa Unrecovered Cost nya which is IAR, defaulted * CR = UC. Since

kasama sa sentence nung sinabi yung 5,500 na FMV yung 500 RC, idededuct mo yung RC.

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13 | P a g e I n s t a l l m e n t S a l e s

FMV of RM: 5.5T – 500 = 5T

CR: 100% – 40% = 60%

UC: 5T * 60% = 3T

FMV > UC = 2T Gain; 0 Loss

Special Cases in Collections

1. Total Collection is 1,000.

Kapag hahanapin mo ang TC sa ganitong given, 1,000 agad ang isasagot mo, kasi sinabi na directly

na 1,000 yung TC mo.

2. Total Cash Collection is 1,000.

Kapag hahanapin mo ang TC sa ganitong given, titingnan mo kung may iba pa bang collection sa

problem, take note na madaming components ang cash collections: Cash - wherein nandito yung down

payment mo at yung installment payment. Actual Value – yan yung value na ikinocompare mo sa

trade-in allowance para makuha yung over or underallowance. If ever na may AV of MTI kang 500,

ang TC mo ay 1,500.

3. Collection is 1,000 including Resale Value of the property amounting to 500.

Hindi naman kasama sa components ng collections ang RV kaya aalisin mo since ang sabi ay included

sa 1,000 ang RV na 500. Ang TC ay 500 lang.

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Special Cases of the Fair Market Value

1. FMV of Merchandise after Reconditioning Cost of 100 is 1,000.

Dito, idededuct mo yung 100 sa 1,000 na FMV. Kasi kasama yun sa statement, assumed na kasama rin

yun sa 1,000.

2. FMV of Merchandise is 1,000. There is a Reconditioning Cost of 100.

Dito naman, sinabi na directly na 1,000 ang FMV, nasa labas ng sentence yung RC na 100 kaya di mo

na aalisin yung 100 na RC sa 1,000 na FMV.

▂ ▃ ▅ ▆ █ EXAMPLE █ ▆ ▅ ▃ ▂

May special problems pa regarding repossession, yung mga problems na may interest rates na binibigay.

Assume that on October 1, 2011 Mr. Carolino sold for P100,000 a car costing P60,000. The contract

of sale called a down payment of P20,000 and a note is issued for the balance which is payable for

24 monthly installments of P4,723.79 each starting on November 1, 2011. The interest rate is 36%

and is applied to the unpaid balance.

1. RGP on 2011

Para makuha mo yung RGP, hahanapin mo muna yung Collections mo. Since may interest rate na

binigay sa bawat installment payment mo, hindi mo masosolve gamit yung formula lang. Ang gagawin

mo, gagawa ka ng table wherein nandoon yung Date, Collection, Collection as to Principal,

Collection as to Interest, Unpaid Balance. Ang iingatan mo lang dito ay ang date kung kalian ka

huling tumanggap ng collection, sakaling calendar year, December 31 dapat ang huling date mo sa

table, kung fiscal year naman, kung anong date ang sinabi sa problem. Kapag December 1 ang huling

date na nagcompute ka ng collection mo, at December 31 naman talaga dapat magtapos yung year

mo, magrerecognize ka ng accrued collection. Sa problem given, walang nakalagay kung yung 36%

na interest ba ay monthly or annually, pag silent ang problem, annually ang gagamitin, since

maybabayad ka monthly, ididivide mo sa 12 months ang 36% which will result sa 3% per month.

Date

Collection

A (Monthly Installments)

Collection as to P

B (A – C)

Collection as to I

C (D * Interest Rate)

Unpaid Balance

D (DOLD – B)

October 1, 2011

October 1, 2011

November 1, 2011

December 1, 2011

December 31, 2011

20,000 (DP)

4,723.79

4,723.79

20,000 (DP)

2,323.79

2,393.50

-

2400

2,330.29

2,258.48

100,000

80,000

77,676.21

75,282.71

GPR: 100T – 60T = 40T ÷ 100T = 40%

RGP 2011: (20T + 2,323.79 + 2,393.50 ) * 40% = 9,886.92

2. Collections as to Principal?

I-aadd mo lang lahat ng nasa Collection as to P column para makuha yung sagot.

CollP: 20T + 2,323.79 + 2,393.50 = 24,717.29

3. Collections as to Interest?

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I-aadd mo lang lahat ng nasa Collection as to I column para makuha yung sagot. Up to December 1,

2011 lang yung i-aadd mo kasi hanggang dun ka lang naman talaga nagcollect ng interest since yung

next collection ay January 1, 2011 pa.

CollI: 2,400 + 2330.29 = 4,730.29

4. Interest Income?

Kukunin mo muna yung Accrued Interest mo since ang end ng calendar year ay Deceember 31, 2011

pa, meaning may interest income ka pa na ma-aaccrue mula December 1-31, 2011. Para macompute

yung Accrued Interest, imumultiply mo yung last value ng Unpaid Balance sa interest rate mo per

month (3%) then i-aadd mo yun sa CollI mo.

Interest Income: 4,730.29 + 2,258.48 = 6,988.77

Papaano mo kukunin ang Installment Payment mo per month kung hindi given?

Hanapin mo yung interest rate, in this case 3% yun. Apply mo yung sa 1.03-24

= a; 1-a = b; b ÷ 0.03 =

c; c = PV of 1 on an Ordinary Annuity of 3% for 24 periods. C = 16.93554212 ang sagot, hindi pa yan

ang installment payment per month, ididivide mo yung C sa selling price ng merchandise mo, LESS

downpayment.

Installment Payment: (100,000 – 20,000) ÷ 16.93554212 = 4,723.79

▂ ▃ ▅ ▆ █ HANDOUT #2 █ ▆ ▅ ▃ ▂

Problem B

Selling Price P 32,000

CGS 20,000

Down Payment 3,200

Period 12 installments - end of each succeeding month

Interest 1% per month

Reconditioning Cost 300

Resale Value 11,500

PV of 1 at 1% for 12 periods 0.8874

PV of 1 of an ordinary annuity at 1% for 12 periods 11.2551

1. Total Collections as to Interest for the Year 2011

Gagawa ka muna ng table for D, C, CP, CI, UB.

Date Collection Collection as to P Collection as to I Unpaid Balance

09-30-2011

09-30-2011

10-31-2011

11-30-2011

12-31-2011

Total

3,200

2,558.84

2,558.84

2,558.84

10,876.52

3,200

2,270.84

2,293.55

2,316.48

10,080.87

-

288

265.29

242.36

795.65

32,000

28,800

26,529.16

24,235.61

21,919.13

-

CollI: 288 + 265.29 + 242.36 = 795.65

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16 | P a g e I n s t a l l m e n t S a l e s

2. Total Collections as to Principal for the Year 2011

CollP: 3,200 + 2,270.84 + 2,293.55 + 2,316.48 = 10,080.87

3. The Realized Gross Profit on Installment Sales for the Year 2011

GPR: (32T – 20T) ÷ 32T = 37.5%

RGP: 10,080.87 * 37.5% = 3,780.33

4. The Gain (Loss) on Repossession in March 2012

Take note na ang IAR, defaulted ay = sa UB kung kelan huling nakabayad.

FMV: 11.5T – 300 = 11,200

UC: 21,919.13 * 62.5% = 13,699.46

FMV < UC = 2,499.46 Loss

What if “as to Principal” lang yung given na Installment Payment?

Assume that on October 1, 2011, Mr. Sanchez sold for P100,000 a car costing P70,000. The contract

of sale called for a payment of P20,000 and a note is issued for the balance which is payable for 20

monthly installments of 4,000 each starting on November 1, 2011. The installment payment is

attributable only to the payment of the principal. It is agreed that an interest rate f 36% is to be

applied to the unpaid balance.

Date Collection Collection as to P Collection as to I Unpaid Balance

10-31-2011

10-31-2011

11-30-2011

12-31-2011

Total

20,000

6,400

6,280

32,680

20,000

4,000

4,000

28,000

-

2,400

2,280

4,680

100,000

80,000

76,000

72,000

-

Problem A

Accounts Receivable P 34,000

IAR 2011 192,000

IAR 2010 90,000

IAR 2009 22,000

Merchandise Inventory 48,000

Purchases 238,000

Freight-in 12,000

Repossessed Merchandise 14,000

Selling Expense 92,000

Loss on Repossession 2011 16,000

Loss on Repossession 2009 8,000

Doubtful Account on Charge Sales 1,000

Cash Sales 60,000

Charge Sales 120,000

Installment Sales 300,000

Unrealized Gross Profit 2010 56,000

Unrealized Gross Profit 2009 32,000

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Merchandise Inventory on December 31, 2011 (including repossessed merchandise) was 52,000.

Charge Sales and Installment Sales prices were higher than Charge Sales by 20% and 25%

respectively.

Installment Sales in 2009 and 2010 had gross profit rates of 40% and 35% respectively.

Summary of the Repossession Account on December 31, 2011

Year of Sale FMV Loss Installment Contracts Receivable

2009 2,000 8,000 10,000

2011 12,000 16,000 28,000

1. Total Sales for 2011, assuming all Sales were on Cash Basis

Kapag sinabing Cash Basis, equal na rin yun sa Time of Sale. In this case, gagawin mong 100% ang

lahat ng sales mo kasi hahanapin mo yung allocation when it comes to GPR and kasi kapag Sales ang

hinahanap, ilalagay mo talaga sa 100% parang sa MAS subject, kasi kapag hindi, Accounts

Receivable mo lang yun, sa entries kasi, (dr) AR (cr) Sales, Gain, ibig sabihin yung mark-up sa cost

nya di talaga nirerecord sa loob ng sales.

Cash Sales: 60,000 ÷ 1 = 60T

Charge Sales: 120,000 ÷ 120% = 100T

Installment Sales: 300,000 ÷ 125% = 240T

Total Sales 2011: 60T + 100T + 240T = 400T

2. The Cost of Goods Sold on Installment Sales for 2011

Sa CGS, Merchandise Inventory Beginning + Purchases + Freight-in = Total Goods Available for

Sale – Merchandise Inventory Ending = CGS from Cost Accounting. Then alalahanin mo yung

formula nya na Sales – CGS = GP. Then kunin mo yung proportion ng naka-100% na sales para

makuha mo yung GP. Sa problem na ito, yung MInv na nasa taas, beginning amount yan. Bakit? Kasi

may bukod na amount na binigay para sa ending nya. Sa MInv ending naman, aalisin mo yung value

ng repossessed merchandise kasi may sariling account yun na hiwalay sa regular merchandise mo.

CGS All: 48T + 238T + 12T = 298T – (52T – 14T) = 260T

Proportions:

Cash Sales: 260T * (60T ÷ 400T) = 39T (15%)

Charge Sales: 260T * (100T ÷ 400T) = 65T (25%)

Installment Sales: 260T * (240T ÷ 400T) = 156T (60%)

3. Total Realized Gross Profit

May tatlong components ang RGP, since total ang tinatanong kukunin mo yung RGP ng bawat isa

(CaS, IS, ChS) bago mo iadd lahat.

RGP IS 2011: 300T – 28T = 272T – 192T = 80T * 48% = 38.4T

RGP IS 2010: 160T – 0 = 160 T – 90T = 70T * 35% = 24.5T

RGP IS 2009: 80T – 10T = 70T – 22T = 48T * 40% = 19.2T

TRGP IS: 38.4T + 24.5T + 19.2T = 82.1T

RGP CaS: 60T – 39T = 21T

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RGP ChS: 120T – 65T = 55T

TRGP IS,CaS, ChS: 82.1T + 21T + 55T = 158.1T

4. Net Income (Loss) for 2011

TRGP – Selling Expense – ADAEx – Loss on RP 2011 – Loss on RP 2009 = NI

NI: 158.1T – 92T – 1T – 16T – 8T = 58.54T

5. Cash Collections on Installment Sales for the year 2011

IAR, beg = UGP ÷ GPR then apply IAR formula.

2009 2010 2011

IAR, Beg 80T 160T 300T

(IAR, Def) (10T) - (28T)

(IAR, W-O) - - -

IAR, unadj 70T 160T 272T

(Coll) *workback (48T) (70T) (80T)

IAR, End 22T 90T 192T

Coll IS 2011: 48T + 70T + 80T = 198T

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Trade-in – ibibigay yung item na itinetrade mo plus yung pera.

Kailangan mo munang alamin kung magkano yung Actual Value ng item na traded-in, gagamitin mo din

yung formula sa pagkuha ng FMV sa repossession while ang trade-in allowance, palaging given.

Then icompare mo sa trade-in allowance (kung magkano ang converted price nung item na itetrade-in mo

according sa seller) kung over o underallowance. Kadalasang underallowance.

▂ ▃ ▅ ▆ █ HANDOUT #1 █ ▆ ▅ ▃ ▂

Problem B

Unit Cost P 60,000

Installment Selling Price 85,000

Trade-in Value 30,000

Down Payment 5,000

Installment Period 10 months, end of each month

Reconditioning Cost 1,250

Resale Value 25,000

Profit Rate 15%

1. Realized Gross Profit during 2011

Sa pagkuha ng AV ng item traded-in, gagamitin mo yung (RV-RC-NP-DC=AV). Then ipagcompare mo

sya sa TA para makuha mo yung O/Uallowance, kung overallowance, idededuct mo yung OA sa

Installment Selling Price, if ever namang underallowance, iaadd mo sa Installment Selling Price yung

sagot na nakuha mo bilang difference ng dalawa. Since hinahanap ang RGP, hahanapin mo yung

collections, may mga elements na nagcocompose sa collection: downpayment + installment payment +

AV of merchandise.

AV: 25T – 1.25T – 3.75T – 0 = 20T

30T TA > 20T AV = 10T overallowance

ISP, adjusted: 85T – 10T = 75T

IP: 75T – 20T – 5T = 50T ÷ 10 mos = 5T

Total IP Collected: 5T * 3mos = 15T

Coll: 5T + 20T + 15T = 40T

GPR: 75T – 60T = 15T ÷ 75T = 20%

RGP: 40T * 20% = 8T