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Chapter 7 Problem I 1. 20x4: No Profit is recognized. P4,000 down payment is treated as a return of investment. 20x5 P750 is profit. P250 is treated as a return of investment. Following years: Each annual installment f P1,000 is profit. 2. 20x4: P4,000 is profit. 20x5: P1,000 is profit. 20x6: P750 is profit, and P250 is treated as return of investment. Following years: Each annual installment is P1,000 is treated as a return of investment. 3. Profit Percentage is 5,750 / P10,000, or 5.75% of sales 20x4: P4,000 x 57.5%, or P2,300, is profit; P1,700 is treated as a return of investment. Following years: P1,000 x 57.5%, or P575 per year, is regarded as profit. P425 per year is treated as return of investment. Problem II 1. Entries in 20x4: Cash…………………………………………………………………….……….. 3, 500 Mortgage Notes Receivable ……………………………………………….. 20,500 Real Estate ……………………………………………………………. 9,000 Gain on Sale of Real Estate ……………………………………….. 15,000 Cash ……………………………………………………………………………… 500 Mortgage Notes Receivable ………………………………………. 500 Entry in 20x5: Real Estate ………………………………………………………………………. 16,500 Loss on Repossession of Real Estate ……………………………………….. 3,500 Mortgage Notes Receivable ……………………………………… 20,000 2. Entries in 20x4 Cash ……………………………………………………………………………… 3, 500 Mortgage Notes Receivable ……………………………………………….. 20,500 Real Estate …………………………………………………………….. 9,000 Deferred Gross Profit on Installment Sales ………………............ 15,000 Cash ………………………………………………………………………………. 500 Mortgage Notes Receivable …………………………………..….. 500 Receipt P500 cash in 20x4 applicable to principal of note
34

Solution Chapter 7

May 13, 2017

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Page 1: Solution Chapter 7

Chapter 7Problem I1. 20x4: No Profit is recognized. P4,000 down payment is treated as a return of investment. 20x5 P750 is profit. P250 is treated as a return of investment.

Following years: Each annual installment f P1,000 is profit.2. 20x4: P4,000 is profit. 20x5: P1,000 is profit. 20x6: P750 is profit, and P250 is treated as return of investment.

Following years: Each annual installment is P1,000 is treated as a return of investment.3. Profit Percentage is 5,750 / P10,000, or 5.75% of sales 20x4: P4,000 x 57.5%, or P2,300, is profit; P1,700 is treated as a return of investment.

Following years: P1,000 x 57.5%, or P575 per year, is regarded as profit. P425 per year is treated as return of investment.

Problem II1. Entries in 20x4:

Cash…………………………………………………………………….……….. 3, 500Mortgage Notes Receivable ……………………………………………….. 20,500

Real Estate ……………………………………………………………. 9,000Gain on Sale of Real Estate ……………………………………….. 15,000

Cash ……………………………………………………………………………… 500Mortgage Notes Receivable ………………………………………. 500

Entry in 20x5:Real Estate ………………………………………………………………………. 16,500Loss on Repossession of Real Estate ……………………………………….. 3,500

Mortgage Notes Receivable ……………………………………… 20,000

2. Entries in 20x4Cash ……………………………………………………………………………… 3, 500Mortgage Notes Receivable ……………………………………………….. 20,500

Real Estate …………………………………………………………….. 9,000

Deferred Gross Profit on Installment Sales ………………............ 15,000Cash ………………………………………………………………………………. 500

Mortgage Notes Receivable …………………………………..….. 500Receipt P500 cash in 20x4 applicable to principal of note

Deferred Gross Profit on Installment Sales ………………………………... 2,500Realized Gross Profit on Installment Sales………………………...

2,500Gross Profit Percentages

15,000/24,000, or 62.5%6.25% of P4,000 (collections in contract in 20x4)Or P2,500

Entry in 20x5Real Estate………………………………………………………………………... 16,500Deferred Gross Profit on Installment Sales ………………………………….. 12,500

Mortgage Notes Receivable ……………………………………….. 20,000

Page 2: Solution Chapter 7

Gain in Repossession of Real Estate ……………………………….. 9,000

Problem III1.

a. Installment Contracts Receivable 19X8………………………………… 250,000Installment Sales ……………………………………………………

250,000

b. Cash ………………………………………………………………………….. 120,000Installment Contracts Receivable 19X8 ………………………

120,000

c. Cost of Installment Sales ………………………………………………….. 200,000Merchandise Inventory …………………………………………..

200,000

d. Merchandise Repossessions ……………………………………………… 14,500Deferred Gross Profit on Installment Sales 19X8 ……………..

4,000Loss on Repossession ……………………………………………...

1,500Installment Contracts Receivable, 19X8 …………….

20,000Gross Profit Percentages: 50,000/250,000, or 20%Deferred Gross Profit on Repossession: 20% of P20,000 or P4,000

Fair value of repossessed merchandise.. P 14,500Less: Unrecovered cost:Unpaid balance…………………………P 20,000Less: Deferred Gross Profit 20% x P20,000…………………… 4,000 16,000Loss on repossession……………………. P 1,500

e. Expenses ……………………………………………………………………… 16,000Cash …………………………………………………………………. 16,000

2. Adjustment to Recognize Gross Profit on Installments Sales:

a. To set-up Cost of Installment Sales:No entry (since perpetual inventory method is used)

b. To set-up Deferred Gross Profit on Installment Sales:Installment Sales ……………………………………………………… 250,000

Cost of Installment Sales …………………………………. 200,000

Deferred Gross Profit on Installment Sales-20x4.. ……… 50,000

c. Adjustment to Recognize Gross Profit on Installment Sales:Deferred Gross Profit on Installment Sales – 20x4…………..……. 24,000

Realized Gross Profit on Installment Sales – 20x4 ………. 24,000

Realized Gross Profit: 20% of P120,000 (collections),

Page 3: Solution Chapter 7

or P24,000

d. Closing of nominal accounts.Realized Gross Profit on Installment Sales – 20x4………………… 24,000

Expenses ………………………………………………………. 16,000

Loss on Repossessions ………………………………………. 1,500

Income Summary ……………………………………………. 6,500

To close the accounts for 20x4.

Problem IV1.

January to December 31 20x4 20x5(1) To record regular sales:

Accounts receivable 600,0001,080,00

0

Sales 600,001,080,0

00

(2) To record installment sale: Cash 60,000 144,000 Installment accounts receivable 300,000 336,000 Installment Sales 360,000 480,000

(3) To record cost of sales: Periodic Method: No entry

Perpetual Method: Regular Sales: Cost of Sales 480,000 864,000 Merchandise inventory 480,000 864,000

Installment Sales: Cost of installment sales 252,000 312,000 Merchandise inventory 252,000 312,000

(4) To record collections: Regular Sales: Cash 144,000 360,000 Accounts receivable 144,000 360,000

Installment Sales: Cash 108,000 204,000 Installment Accounts receivable – 20x2 72,000 72,000 Installment Accounts receivable – 20x3 60,000 Interest income 36,000 72,000

(5) to record payment of operating expenses: Operating expenses 90,000 102,000 Cash 90,000 102,000

Page 4: Solution Chapter 7

2.

Adjusting entries (end of the year):(6) To recognize accrued interest receivable Interest receivable 1,440 2,880 Interest income 1,440 2,880

(7) To set-up Cost of Sales: Periodic Method: Cost of installment sales 480,000 864,000 Merchandise inventory 480,000 864,000

Perpetual Method: No entry

(7) To set-up Cost of Installment Sales: Periodic Method: Cost of installment sales 252,000 312,000 Shipment s on installment sales 252,000 312,000

Perpetual Method: No entry (8) To set-up Deferred Gross Profit Installment sales 360,000 480,000 Cost of installment sales 252,000 312,000 Deferred gross profit – 20x4 108,000 Deferred gross profit – 20x5 168,000

Gross profit rate – 20x4: P 108,000 / P360,000 = 30%. Gross profit rate – 20x5: P168,000 / P480,000 = 35%.

(9) To record realized gross profit on installment sales: Deferred gross profit – 20x4 25,200 25,200 Deferred gross profit – 20x5 21,000 Realized gross profit 25,200 46,200

20x4: Realized gross profit on installment sales: Collections applying as to principal..……………………………P 72,000

Multiplied by: Gross profit rate……………………………………. 30% Realized gross profit…………………………………………………P 21,600

20x5: Realized gross profit on installment sales;20x4 20x5

Collections – principal……………

P 72,000

P 60,000

Multiplies by: Gross profit %.......... ____30% ____35%Realized gross profit………………

P 21,600

P 21,000

P 42,600

Page 5: Solution Chapter 7

Closing entries:(10) To close realized gross profit account: Realized gross profit 21,600 42,600 Income summary 21,600 42,600

(11) To close other nominal accounts

Sales 600,0001,080,00

0 Interest income 37,440 74,880 Cost of sales 480,000 864,000 Operating expenses 90,000 102,000 Income summary 67,440 188,880

(12) To close results of operations: Income summary 89,040 231,480 Retained earnings 89,040 231,480

Problem V1.

Type of Sale AmountRatio to Total

Sales Allocated CostRegular Sales: Cash sales P 225,000 P *146,250 Credit sales ___450,000 **292,500 Total regular sales P 675,000 675/1,800 P 438,750Installment Sales _ 1,125,000 1,125/1,800 __731,250Total Sales P 1,800,000 P 1,170,000

*P225,000/P1,800,000 x P1,170,000 = P146,250 **P450,000/P1,800,000 x P1,170,000 = P292,500

The allocation above was based on the assumptions that the markup for each type of sale is the same. Normally, the selling prices of the merchandise are not the same for each type of sales.

2.

Type of Sale Amount

Amount based on Cash Sales (100%)

Ratio to Total Sales Allocated Cost

Cash sales P 225,000 P 225,000 225/1,500 P 175,500Credit sales 450,000 375,000* 375/1,500 292,500

Installment Sales 1,125,00

0 900,000* * 900/1,500 __ 702,000Total Sales P 1,500,000 P 1,250,000 P 1,170,000

*P450,000 / 120% = P375,000 **P1,125,000 / 125% = P900,000

3. Type of Sale Amount Gross profit rate Cost ratio Allocated Cost*

Cash sales P 225,000 30% 70% P 157,500Credit sales 450,000 36% 64% 288,000

Installment Sales 1,125,00

0 40% 60% _ _675,000Total Sales P 1,800,000 P 1,170,000

* Amount of sale x cost ratio.

Problem VIThe entries are required under the periodic method:

Repossessed merchandise……………………………………...... 68,400

Page 6: Solution Chapter 7

Deferred gross profit – 20x4………………………………............ 48,000Loss on repossession………………………………………………... 3,600 Installment accounts receivable – 20x4……………………. 120,000 To record repossessed merchandise.

Repossessed merchandise……………………………………...... 12,000 Cash, etc (or various credits)……………………................ 12,000 To record reconditioning costs

The loss on repossession is computed as follows: Estimated selling price after reconditioning costs..............

P 108,000

Less: Reconditioning costs……………………………………… P 12,000 Costs to sell and dispose…………………………………. 6,000 Normal profit (20% x 108,000)…………………………….

__21,600 __39,600

Market value before reconditioning costs………………….. P 68,400Less: Unrecovered cost Installment accounts receivable – 20x4, unpaid balance……………………………………... P120,000 Less: Deferred gross profit – 20x4 (P120,000 x 40%).....

__48,000 __72,000

Loss on repossession……………………………. P( 3,600)

Problem VIIThe entry to record the sale of the new vehicle under the periodic method:

Trade-in Merchandise…………………………………............... 840,000Over-allowance on trade-in merchandise…………………. 360,000Cash………………………………………………………………….. 2,400,00

0Installment accounts receivable – 20x4……………............ 3,360,00

0 Installment sales………………………………………....... 6,960,00

0 To record installment sales with trade-in.

Alternatively, the over-allowance on trade-in merchandise may also be treated as net of installment sales, the entry would be as follows:

Trade-in Merchandise…………………………………............... 840,000Cash………………………………………………………………….. 2,400,00

0Installment accounts receivable – 20x4……………............ 3,360,00

0 Installment sales (net of over-allowance)…….............. 6,600,00

0 To record installment sales with trade-in.

The over-allowance is computed as follows: Trade-in allowance………………………………….................. P1,200,00

0Less: Market value before reconditioning costs: Estimated resale price after reconditioning costs. P1,680,0

00 Less: Reconditioning costs……………………………….. 420,000 Costs to sell (5% x P1,680,000)…………………… 84,000 Normal profit (20% x P1,680,000)……………....... __336,00 __840,00

Page 7: Solution Chapter 7

0 0Over-allowance…………………………………………………… P

360,000

The gross profit rate on installment sales is computed as follows:Installment sales……………………………………………………………...... P6,960,000Less: Over-allowance………………………………………………………… ___360,000Adjusted Installment Sales…………………………………………………… P6,600,000Less: Cost of installment sales………………………………………………. __3,920,00

0Gross profit………………………………………………………………………. P2,680,000Gross profit rate (P2,680,000/P6,600,000)……………………………….. 40.60%

Further, the entry to record the reconditioning costs is as follows:

Trade-in Merchandise…………………………………............... 420,000 Cash, etc (or various credits)…………………….............. 420,000 To record reconditioning costs.

Incidentally, the realized gross profit on installment sales of the new merchandise for the year 20x4 is computed as follows:

Trade-in merchandise (market value before reconditioning costs)……… P 840,000

Down payment…………………………………………………………………… 2,000,000Installment collection (March 31 – December 31: P80,000 x 10 months) ___800,000Total collections………………………………………………………………….. P3,640,000Multiplied by: Gross profit rate in 20x4……………………………………….. ___40.60%Realized gross profit on installment sales of new merchandise………… P1,477,840

Problem VIII1. Entries assuming that monthly payments consist of P600 plus interest on the unpaid balance:

Oct. 31 Cash ……………………………………………………………………… 20,000Mortgage Notes Receivable …………………………………………. 55,000

Real Estate ………………………………………………………. 60,000Deferred Gross Profit on Installment Sales ………………….

15,000

Nov. 30 Cash ………………………………………………………………………. 1,150Mortgage Notes Receivable ………………………………… 600Interest Income ………………………………………………….

550Interest Received: P55,00 at 12% for 1 month, or P550

Dec. 31 Cash ………………………………………………………………………… 1,144Mortgage Notes Receivable ………………………………….. 600Interest Income …………………………………………………… 544

Interest received: P54,400 (P55,000-P600) at 12% 1 month, or P544

31 Deferred Gross Profit on Installment Sales …………………………….. 4,240Realized Gross Profit on Installment Sales ……………………

4,240 Gross Profit Percentage: 15,000/75,000, or 20%Realized Gross Profit: 20% of P21,200 (collections applicable to principal in 19X3) or P4,240

Page 8: Solution Chapter 7

2. Entries assuming monthly payments of P600 that include interest on the unpaid balance of the contract:

Dec. 31 Cash ……………………………………………………………………… 20,000.00 Mortgage Notes Receivable ………………………………………… 55,000.00

Real Estate ……………………………………………………… 60,000.00

Deferred Gross Profit on Installment Sales ……………….. 15,000.00

Nov. 30 Cash ……………………………………………………………………… 600Mortgage Notes Receivable ………………………………..

50.00Interest Income …………………………………………………

550.00

Interest Received: P55,000 at 12% for 1 month or P550. Balance Payment, P600-P550, or P50, is reduction in principal)

Dec. 31 Cash ………………………………………………………………………. 600.00Mortgage Notes Receivable …………………………………

50.50Interest Received ………………………………………………

549.50

Interest Received: P54,950. Balance Payment, P600.00-549.50, o P50.50, is reduction in principal.

31 Deferred Gross Profit on Installment Sales ………………………… 4,020.10Realized Gross Profit on Installment Sales …………………

4,020.10Gross Profit Percentage: 15,000/75,000, or 20%Realized Gross Profit: 20% of P20,100.50 (collections applicable to principal in 19X3), or P4,020.10

Problem IX1. 6/30x4: Cash……………………………………………………………………………. 25,000

Notes Receivable …………………………………………………………… 125,000 Accumulated Depreciation (3.1/2[2% of P90,000]) …………………… 6,300 Depreciation Expense (1/2[2% of P90,000]) …………………………… 900

Land …………………………………………………………………… 10,000Building ……………………………………………………………….. 90,000Deferred Gross Profit on Sale of Property ……………………… 57,200

Deferred Gross Profit on Sale of Property ………………………………… 9,553Realized Gross Profit on Sale of Property ………………………... 9,553 Amount realized: (P25,000/150,000) x 57,200

2. 6/30x5: Cash …………………………………………………………………………… 30,000 Notes Receivable …………………………………………………….. 30,000

Deferred Gross Profit on Sale of Property ………………………………. 11,440Realized Gross Profit on Sale of Property …………………………

11,440

Page 9: Solution Chapter 7

Amount realized (P30,000/P150,000) x 57,200

6/30/x6 Cash …………………………………………………………………………. 50,000Notes Receivable …………………………………………………… 50,000

Deferred Gross Profit on Sale of Property ……………………………… 19,067Realized Gross Profit on Sale of Property …………………………

19,067 Amount Realized: (P50,000/P150,000) X 57,200

6/30/x7 Cash ………………………………………………………………………….. 15,000Notes Receivable …………………………………………………… 15,000

Deferred Gross Profit on Sale of Property ………………………………. 5,720Realized Gross Profit on Sale of Property …………………………

5,720 Amount Realized: (P15,000/P150,000) X 57,200

Problem X Installment Contracts Receivable …………………………………………. 200,000

Installment Sales ……………………………………………………… 200,000

Cost of Installment Sales …………………………………………………….. 120,000Merchandise Inventory ……………………………………………… 120,000

Cost of Sales: 60% of P200,000Installment Sales ……………………………………………………………….. 200,000

Cost of Installment Sales …………………………………………… 120,000

Deferred Gross Profit on Installment Sales ……………………… 60,000

Cash ………………………………………………………………………………. 124,000Installment on Contracts Receivable – 20x4……………………...

30,000Installment on Contracts Receivable – 20x5……………………...

34,000Installment on Contracts Receivable – 20x6……………………...

60,000

Deferred Gross Profit on Installment Sales -20x4 …………………………… 13,800Deferred Gross Profit on Installment Sales-20x5 …………………………... 14,280Deferred Gross Profit on Installment Sales -20x6 …………………………... 24,000Realized Gross Profit on Installment Sales ……………………….…………..

52,080Realized Gross Profit

20x4: 46% of P30,000 or P13,80020x5: 42% of P34,000 or P14,28020x6: 40% of P60,000 or P24,000

Problem XI1. Calculation of gross profit percentage on installment sales

20x6: P88,000 gross profit on installment sales, 20x6, /P320,000 installment

Page 10: Solution Chapter 7

sales 20x6 …………………………………………………………………………………. 27.5%

20x5: P45,000 deferred gross profit, 20x5, /P150,000 installment accounts receivable 20x5 …………………………………………………………………………..

30%20x4: P9,600 deferred gross profit, 20x4 , /30,000 installment accounts

receivable 20x4 ………………………………………………………………………….. 32%

2. WW EQUIPMENT, Inc.

Balance SheetDecember 31, 20x6

AssetsCash ………………………………………………………………………………….................... P27,500Installment Accounts Receivable 20x6 ………………………….. P 55,000

20x5 ………………………….. 12,00020x4 ………………………….. 3,000

70,000Accounts receivable …………………………………………………………………………. 17,000Inventory ……………………………………………………………………………………….... 60,000Other Assets ……………………………………………………………………………………... 40,000Total Assets ……………………………………………………………………………………… P 214,500

Liabilities Accounts payable ……………………………………………………………… P 40,000Deferred Gross Profit 20x6 …………………………… P 15,125

20x5 …………………………… 3,600 20x4 …………………………… 960 19,685

Total Liabilities P 59,685

Stockholders’ Equity Capital Stock …………………………………………………………………….. P 100,000Retained Earnings ……………………………………………….. P 68,400

Balance, Jan. 1, 20x6 ………………………………………. 13,585Balance, Dec. 31, 20x6 ……………………………………………………. 54,185

Total Stockholder’s Equity ……………………………………………………… P154,815Total Liabilities and Stockholder’s Equity ……………………………………. P 214,500

WW EQUIPMENT, Inc.Income Statement

For Year Ended December 31, 20x6

Installment Sales

Regular Sales

Total

Sales ………………………………………………………............ P320,000 P125,000 P445,000

Cost of goods sold:

Page 11: Solution Chapter 7

Merchandise Inventory, Jan. 1 ………………P 52,000

Purchases ………………………….................. 350,000 Merchandise Available for sale ................. 402,000 Less: Merchandise Inv. Dec. 31 ………… 60,000

232,000 110,000 342,000

Gross Profit ……………………………………………………….. P88,000 P15,000 P103,000

Less: Deferred Gross Profit on 19X34 …………………………

15,125 15,125

Realized Gross Profit on current year’s sales ……………….

P78,875 P15,000 P87,875

Add: realized gross profit on prior years’ sales onInstallment basis (see gross profit schedule) ……………….

50,040

Total Realized Gross Profit …………………………………….

P137,915

Operating Expenses …………………………………………... 151,500

Net Loss ………………………………………………………….. P 13,585

WW EQUIPMENT, Inc. Analysis of Gross Profit on Installment SalesSchedule to Accompany Income Statement

For Year Ended December 31, 20x6

Deferred Gross profit on installment sales, 20x6 Installment contracts receivable, P320,000 less collections P265,000

Or P55,000; P55,000 x 27.5% ………………………………………………………… P 15,125

Realized Gross Profit: 20x6 20x5 20x4

Collections on Installment Contracts Receivable ………... P265,000 P138,000P27,000Installment sales gross profit percentage ………………….. 27.5% 30%

32%Realized Gross Profit …………………………………………….. P 72,875 P 41,400 P 8,640

Installment Sales …………………………………………………… 320,000Cost of Installment Sales …………………………………………. 232,000Deferred Gross profit ……………………………………………… 88,000

Deferred Gross Profit, 20x6 ……………………………............... 72,875Deferred Gross Profit, 20x5 ……………………………............... 41,400Deferred Gross Profit, 20x4 ……………………………............... 8,640

Realized Gross Profit on Installment sales…………… 122,915

Income Summary ………………………………………………… 170,000Shipment on Installment of Sales ……………………………… 232,000

Merchandise Inventory, Jan. 1, 20x6 ………………. 52,000

Purchases ……………………………………………… 350,000

Page 12: Solution Chapter 7

Merchandise Inventory, Dec. 31, 20x6 …………………….. 60,000Income Summary …………………………………… 60,000

Sales ………………………………………………………………. 125,000Income Summary ……………………………………. 125,000

Realized Gross Profit on Installment Sales………..………... 122,915Income Summary ……………………………………. 122,915

Income Summary ……………………………………………… 151,500Operating Expenses ………………………………... 151,500

Retained Earnings …………………………………………….. 13,585Income Summary …………………………………... 13,585

Problem XII1. Calculation of gross profit percentage on installment sales

20x6: P190,000 gross profit on installment sales, 20x6, /P500,000 installment sales 20x6 …………………………………………………………………………………… 38%

20x5: P96,000 deferred gross profit, 20x5, /P240,000 installment accounts receivable 20x5 ………………………………………………………………. 40%

20x4: P22,500 deferred gross profit, 20x4 , /50,000 installment accounts receivable 20x4 ………………………………………………………………. 45%

2. Deferred Gross Profit, 20x6……………………………… 1,900

Deferred Gross profit, 20x5……………………………… 4,000Deferred Gross Profit, 20x4……………………………… 3,600

Loss on Repossessions………………………….. 9,500 Cancellation of deferred gross profit, balances upon repossessions: 20x6: 38% of P5,000, or P1,900 20x5: 40% of P10,000, or P4,000 20x4: 45% of P8,000, or P3,600

Installment Sales

Regular Sales

Total

Sales ………………………………………………………............ P500,000 P192,000 P692,000Cost of goods sold: Merchandise Inventory, Jan. 1 …………… P

30,000 Purchases ………………………….................. 445,000 Repossessed Merchandise ……………….. 10,000 Merchandise Available for sale ................. 495,000 Less: Merchandise Inv. Dec. 31 ………… 35,000

310,000 150,000 460,000

Gross Profit ……………………………………………………….. P190,000 P42,000 P103,000Less: Deferred Gross Profit on 20x6 sales (see schedule)

32,300 32,300

GG SALES CORPORATIONIncome Statement

For Year Ended December 31, 20x6

Page 13: Solution Chapter 7

Realized Gross Profit on current year’s sales ……………….

P157,700 P42,000 P199,700

Add: realized gross profit on prior years’ sales onInstallment basis (see gross profit schedule) ……………….

Deduct loss on repossession ………………………………….

100,650P300,350 3,500

Total Realized Gross Profit ……………………………………. P296,850Operating Expenses …………………………………………… 300,000Net Loss ………………………………………………………….. P 3,150

Analysis of Gross Profit on Installment SalesSchedule to Accompany Income Statement

For Year Ended December 31, 20x6 Deferred gross profit on Installment sales – before defaults, 19X8:

Installment contracts receivable, P500,00, less collections, P415,000, orP85,000; P85,000 x 38% ………………………………………………………. P 32,300

Realized Gross Profit: 20x6 20x5 20x4

Collections of Installment contracts receivable.. P415,000 P210,000 P 37,000Installment sales gross profit percentage ……….. 38% 40% 45% Realized gross profit …………………………………..P157,700 P 84,000 P 16,650

GG SALES CORPORATIONBalance Sheet

December 31, 20x6Assets

Cash …………………………………………………………………………………... P 25,000Installment Accounts Receivable 20x6 …………………P 80,000

20x5 ………………… 20,00020x4 ………………… 5,000

105,000Accounts receivable ………………………………………………………………….. 40,000Inventory …………………………………………………………………………………. 35,000Other Assets ……………………………………………………………………………… 52,000Total Assets ……………………………………………………………………………….P 257,000

Liabilities Accounts payable ……………………………………………………. P 75,000Deferred Gross Profit 20x6 ………………………………. P 30,400

20x5 ………………………………. 8,000 20x4 ………………………………. 2,250 40,650

Total Liabilities P 115,650

Stockholders’ Equity Capital Stock …………………………………………………………. P100,000Retained Earnings ………………………………………. P 44,500

Page 14: Solution Chapter 7

Balance, Jan. 1, 20x6 ……………………………… 3,150Balance, Dec. 31, 20x6 …………………………… 41,350

Total Stockholder’s Equity …………………………………………. 141,350Total Liabilities and Stockholder’s Equity ……………………….. P 257,000

4. Installment Sales ……………………………………………………………….. 500,000Cost of Installment Sales ……………………………………………….. 310,000Deferred Gross Profit, 20x6 …………………………………………….. 190,000

Deferred Gross Profit, 20x6 …………………………………………………… 157,500 Deferred Gross Profit, 20x5 …………………………………………………… 84,000 Deferred Gross Profit, 20x4 …………………………………………………… 16,650

Realized Gross Profit on Installment Sales… ………………………… 258,350

Income Summary ……………………………………………………………… 185,000 Shipment on Installment Sales ……………………………………………… 310,000

Merchandise Inv, January 1, 20x6 ……………………………………. 30,000Purchases …………………………………………………………………. 455,000Repossessed Merchandise …………………………………………….. 10,000

Merchandise Inv, December 31, 20x6……..………………………………. 35,000Income Summary ……………………………………………………….. 35,000

Sales …………………………………………………………………………….... 192,000Income Summary ………………………………………………………… 192,000

Realized Gross Profit on Installment Sales………………………………….. 258,350Income Summary ……………………………………………………….. 258,350

Income Summary ……………………………………………………………… 3,500Loss on Repossession ……………………………………………………. 3,500

Income Summary ……………………………………………………………… 300,000Operating Expenses …………………………………………………….. 300,000

Retained Earnings ……………………………………………………………… 3,150Income Summary …………………………………………………………. 3,150

Problem XIII 1. Deferred gross profit – 20x4……….……………………………………. 8,407.00

Deferred gross profit – 20x5……….……………………………………. 93,438.80Deferred gross profit – 20x6……….……………………………………. 71,006.70

Realized Gross Profit on Installment Sales (20x4 – 20x6)….. 172,852.50

Computation of GP rates:20x4: P247,000/P380,000 = 65%, cost rate; GP rate = 100% - 65% = 35%20x5: P285,120/P432,000 = 66%, cost rate; GP rate = 100% - 66% = 34%20x6: P379,260/P602,000 = 63%, cost rate; GP rate = 100% - 63% = 37%

Calculation of collections in 20x6:20x4: Beginning balance P 24,020

Page 15: Solution Chapter 7

20x5: P344,460 (beginning balance) – P67,440 (ending balance) –P2,200 (write-offs on default)

274,82020x6: P602,000 (sales) – P410,090 (ending balance)

191,910

Calculation of realized gross profit:20x4: 35% x P24,020 P 8,407.0020x5: 34% x P274,820

93,438.8020x6; 37% x P191,910

71,006.70 Total P172,852.50

2. Deferred gross profit 20x5……………………………………………………… 748.00Inventory of Repossessed Merchandise………………………………. 748.00

To reduce by 20x5 deferred gross profit related to defaulted contract and requiring cancellation, 34% of P2,200 (P5,400 sales price- P3,200 collections to date); inventory now reported at P2,200 (balance of installment contract), less P748 or P1,452.

Loss on repossession…………………………………………………………….. 381.00Inventory of repossessed merchandise……………………………….. 381.00

To reduce inventory to “market” as follows: to realize a gross profit of 37% on a resale estimated at P1,700, the repossessed merchandise should be reported at a value of 63% of P1,700, or P1,071; the inventory then requires a further write-down of P381 (P1,452 – P1,071)

Repossessed merchandise could be recorded at its resale value less the usual gross profit margin on sales. Recording the merchandise at P1,452 will result in the realization of less than the normal profit margin on the resale of the goods in the subsequent period. if expenses of the resale exceed P248 (P1,700 – P1,452), the later period would actually have to absorb a loss as a result of such valuation. Recording the goods at resale value reduced by the company’s usual profit margin on sales is recommended, for such practice will charge the next period with no more than the utility of the goods carried forward.

Problem XIV – HH Instruments1. Installment Contracts Receivable ……………………………………. 1,600.00

Merchandise Inventory (Piano) ……………………………… 1,000.00Deferred Gross Profit on Installment Sales …………………

600.00

Cash ……………………………………………………….......................... 160.00Installment Contracts Receivable …………………………… 160.00

2. Cash …………………………………………………………........................ 160.00Interest Income …………………………………………………… 14.40Installment Contracts Receivable ……………………………. 145.60

Cash ……………………………………………………………...................... 160.00Interest Income ……………………………………………………. 11.47Installment Contracts Receivable ……………………………… 148.53

3. Deferred Gross Profit on Installment of Sales ………………………….. 225.45Realized Gross Profit on Installment of Sales …………………

225.45

Page 16: Solution Chapter 7

Gross Profit Percentage: 37.5% (P600/P1,600) Realized Gross Profit for 20x4: 37.5% of 601.19 (sum of payments on installment contract)

4. Merchandise Inventory (piano) …………………………………………... 560.00Deferred Gross Profit on Installment of Sales ……………………........... 374.55Loss on Repossessions ………………………………………………………. 64.36

Installment Contracts Receivable ……………………………… 998.81 Deferred Gross profit cancelled upon repossession: 37.5% of P998.81 (balance in installment contracts receivable account) or P 374.55

Problem XIV – Big Bear20x4:Installment receivables 250,000 Inventory 150,000 Deferred gross profit 100,000

Cash 80,000 Installment receivables 80,000

20x5:Cash 120,000 Installment receivables 120,000

Deferred gross profit 50,000 Realized gross profit 50,000

20x6:Cash 50,000 Installment receivables 50,000

Installment receivables 300,000 Inventory 210,000 Deferred gross profit 90,000

Cash 135,000 Installment receivables 135,000

Deferred gross profit 40,500 Realized gross profit 40,500

Gross profit deferred at sale = 30% x P300,000 = P90,000.Gross profit earned at collection = (P135,000/P300,000)  x P90,000 = P40,500(Or cash collected  x GP% =P135,000  x 30% = P40,500)

Problem XV – Tappan Industrial(1) Reasonably assured - accrual basis should be used: full gross profit recognized in the year

of the sale.Determination of selling price:

PVn = R(PVAFn/i) Table IV PVn = P187,500 x 4.3553 n = 6, i = 10% PVn = P816,619 (rounded)

Gross profit on sale:

Page 17: Solution Chapter 7

  Sales P816,619

  Cost of sales 637,500   Gross profit P179,119 Interest revenue--4 months: P816,619 x 10% x 4/12 = _ 27,221Total income for 20x5 = P179,119 + P27,221 = P206,340

(2) No reasonable assurance – assume the use of installment sales method

Installment sale: Gross profit (P179,119/P816,619) = 22% rounded

Gross profit earned in 20x5 (P0 x 22%) P 0

Interest revenue 27,221

Total income for 20x5 P 27,221

Multiple Choice Problems 1. c

20x4: P1,200,000 x 30% = P 360,00020x5: P1,400,000 x 40% = 560,000 P920,000

2. d – [P225,000 + (P120,000/40%)] 3. b (P36,000 ÷ 24%) + (P198,000 ÷ 30%) = P810,000. 4. d

Installment Accounts Receivable, December 31, 20x5: DGP, 12/31/20x5 / GP%20x4 Sales: P120,000/ 30% P 400,00020x5 Sales: P440,000/ 40% 1,100,000

P 1,500,000 5. b – [(P1,000,000 – P200,000) x (P1,000,000 – P600,000)/P1,000,000 = P320,000

6. b [(P1,400,000 – P980,000) ÷ P1,400,000] x P840,000 = P252,000.

7. c P1,200,000 – P720,000 = P480,000 gross profit (40% gross profit rate) P480,000 – (P288,000 ×.4) = P364,800.

8. c P300,000 + P50,000 = P350,000 P350,000 – P245,000 = P105,000 gross profit (30% gross profit rate) (P300,000 – P100,000) x 30% = P60,000.

9. c P1,800,000 – P1,080,000 = P720,000 (40% gross profit rate) P720,000 – (P825,000 x 40%) = P390,000.

10. a – assume the use of installment sales method. It should be noted that if the collectability is highly uncertain or extremely uncertain, the use of cost recovery method is preferable.

P8,000 x (P30,000 – P24,000)/P30,000 = P1,600

11. b – 20x4: P500,000 x 30% = P 150,00020x5: P600,000 x 40% = 240,000 P390,000

Page 18: Solution Chapter 7

12. d – same with No. 413. b

Installment Accounts Receivable, end of 20x4 P 320,000x: Gross profit rate (66 2/3 / 166 2/3)

_____40%Deferred Gross Profit, end of 20x4 P 128,000

14. b 20x4: P150,000 – (P568,620 x 10%) = P93,138. 20x5: (P568,620 – P93,138) x 10% = P47,548.

15. d Realized Gross Profit on Installment Sales in 20x6:

20x4 sales: P10,000 x 22%P 2,200

20x5 sales: P50,000 x 25% 12,500

20x6 sales: P45,000 x P28,200 / (P28,200+P91,800) 10,575

P 25,275

Realized Gross Profit on Sales in 20x5 P 10,500

Less: Realized Gross Profit in 20x5 for 20x5 sales: (P20,000 x 25%) 5,000

Realized Gross Profit in 20x5 for 20x4 sales P 5,500

Divided by: Collections in 20x5 for 20x4 sales P 25,000

Gross Profit % for 20x4 sales 22%

16. a Installment Sales Method:

20x3 Sales: P240,000 x 25/125P 48,00020x4 Sales: P180,000 x 28/128 39,375Realized Gross Profit on Installment SalesP 87,375

Cost Recovery Method:20x3 Cost: P480,000 / 1.25 P384,000Less: Collections in 20x3 140,000 Collections in 20x4 240,000Unrecovered Cost, 12/31/20x4 P 4,000

Under the cost recovery method, no income is recognized on a sale until the cost of the item sold is recovered through cash receipts. All cash receipts, both interest and principal portions, are applied first to the cost of the items sold. Then, all subsequent receipts are reported as revenue. Because all costs have been recovered, the recognized revenue after the cost recovery represents income (interest and realized gross profit). This method is used only when the circumstances surrounding a sale are so uncertain that earlier recognition is impossible.

17. a (1) Gain or Loss on repossession:

Estimated selling price P 1,700Less: Normal profit (37% x P1,700) 629

Page 19: Solution Chapter 7

Market value of repossessed merchandise P 1,071Less: Unrecovered Cost:

Unpaid balance – 20x3 P 2,200Less: DGP – x3 (P2,200 x34%) 748

1,452Loss on repossession P( 381)

(2) Realized gross profit on installment sales:20x2 Sales: (P24,020 – P 0) x 35% P 8,407.020x3 Sales: (P344,460 – P67,440 – P2,200) x 34%

93,438.820x4 Sales: (P602,000 – P410,090) x 37% 71,006.7Realized gross profit on installment sales P 172,852.5

18. cDeferred Gross Profit, end (12/312/20x4: IAR, end of 2004 x GP %)

20x2 Sales: P 020x3 Sales: (P67,440 x 34%.

22,929.620x4 Sales: (P410,090 x 37%)

151,733.3 P174,662.9

19. a – refer to No. 16 for discussion.Cost, January 1, 20x4 P 60,000Less: Collections including interest – 20x4 32,170Unrecovered Cost, December 31, 20x4 P 27,830

20. b (P300,000 ÷ P750,000) x P250,000 = P100,000[(P270,000 ÷ P900,000) x P300,000] + P100,000 = P190,000.

21. d [P5,600 x (1 – .40)] – (P2,100 – P140) = P1,400.

22. d P8,400 – P5,880 = P2,520(P3,000 – P300) – P2,520 = P180 gain.

23. b P24,000 – P7,200 = P16,800P16,800 – P13,500 = P3,300 loss.

24. d (P2,000,000 – P1,500,000) ÷ P2,000,000 = 25%

25. a (P800,000 x .25) – P90,000 = P110,000,

26. d P700,000 x .25 = P175,000; P500,000 x .25 = P125,000.

27. a (P3,000,000 – P2,100,000) ÷ P3,000,000 = 30%.

28. d (P1,200,000 .30) – P120,000 = P240,000.

29. a P1,050,000 .30 = P315,000P900,000 – [(P1,200,000 + P1,050,000) .30] = P225,000.

30. c (P3,600,000 – P2,400,000) ÷ P3,600,000 = 33 1/3% (P3,600,000 .20) + [(3,600,000 .80) 4/12)] = P1,680,000 P1,680,000 33 1/3% = P560,000.

Page 20: Solution Chapter 7

31. b [(P3,600,000 .20) + (P3,600,000 .80 x 8/12] – P2,400,000 = P240,000.32. a P0.33. c

Sale: Installment receivables 4,500,000 Inventory 3,600,000 Deferred gross profit 900,000Payment: Cash 500,000 Installment receivables 500,000 Deferred gross profit 100,000 Realized gross profit 100,000Balance Sheet: Installment receivables (4,500,000 – 500,000) P 4,000,000 Deferred gross profit (900,000 – 100,000) 800,000 Installment receivables (net) P 3,200,000

34. b12/15/x5 Cash [(P4,500,000 – P500,000)/2 = P2,000,000] 2,000,000 Installment receivables 2,000,000 Deferred gross profit [P2,000,000 x (900/4,500)] 400,000 Realized gross profit 400,000

Balance sheet: Deferred gross profit: P800,000 400,000 = P400,000 Realized gross profit of P400,000 would be reported in the income statement.

35. b – refer to No. 16 discussion.Cost, January 1, 20x4…………………………………………………………….P 500,000Less: Collections including interest – 20x4……………………….P241,269 Collections including interest – 20x5……………………… 241,269 482,538Unrecovered Cost, December 31, 20x5……………………………………….P 17,462

36. c Trade-in allowance P43,200

Less: MV of trade-in allowance: Estimated resale price after reconditioning costs P36,000 Less: Reconditioning costs 1,800

Normal profit (15% x P36,000) 5,400 28,800Over-allowance P 14,400 Installment sales P122,400Less: Over-allowance 14,400Adjusted Installment Sales P108,000Less: Cost of Installment Sales 86,400Gross profit P 21,600Gross profit rate: P21,600/P108,000 20%

Realized gross profit:Down payment P 7,200Trade-in (at market value) 28,800

Page 21: Solution Chapter 7

Installment collections:(P108,000 – P28,800 – P7,200) / 10 mos. X 3 mos. 21,600

Total collections in 2008 P 57,600x: Gross profit rate 20%Realized gross profit P 11,520

37. a - Costs not yet recovered.38. c  

Cost, 20x4 P 30,000 20x4 cost recovery (20,000) Remaining cost, 12/31/x4 P 10,000

20x5 collection 15,000 Gross profit – 20x5 P 5,000

39. d   Cost P 30,000 20x4 cost recovery ( 20,000) 20x5 cost recovery ( 10,000) Remaining cost 0 The entire P20,000 payment received in 20x6 is recognized as gross profit.

40. d Sale: Installment receivables 55,000

Inventory 30,000Deferred gross profit 25,000

Payment: Cash 20,000Installment receivables 20,000

Balance Sheet:Installment receivables P55,000 – 20,000 P 35,000Deferred gross profit ( 25,000)Installment receivables (net) P 10,000

41. a

Sale: Installment receivables 55,000Inventory 30,000Deferred gross profit 25,000

2008: Cash 20,000Installment receivables 20,000

Cash 15,000Installment receivables 15,000

2009: Deferred gross profit 5,000Realized gross profit 5,000

Balance Sheet:Installment receivables P 20,000Deferred gross profit ( 20,000)Installment receivables (net) P 0

42. c - P300,000 (20x4 sales) + P500,000 (20x5 sales) = P800,000

Page 22: Solution Chapter 7

43. a  Gross profit % = (P900,000 P450,000)/P900,000 = 50% 20x4: 50% x P300,000 = P150,00044. c 20x4 sales: Gross profit % = (P900,000 P450,000)/P900,000 = 50% 50% x P300,000 received in 2010 = P150,000

20x5 sales: Gross profit % = (P1,500,000 P900,000)/P1,500,000 = 40% 40% x P400,000 received in 2010 = P160,000 Total: P150,000 + P160,000 = P310,000

45. c 20x4 Sales: Installment receivables = P900,000 – P300,000 (x4 collections)

- P300,000 (x5 collections) = P 300,000

Deferred gross profit = P450,000 – P150,000 (x4 collections)- P150,000 (x5 collections) =

150,000Net installment receivable for 20x4 sales = P

150,000

20x5 Sales: Installment receivables = P1,500,000 – P500,000 (x5 collections)=P1,000,000

Deferred gross profit = P600,000 – P200,000 (x5 collections) = 400,000

Net installment receivable for 20x5 = P 600,000 Total = P 750,000

46. a Installment receivable = P200,000Deferred gross profit = P80,000 (P200,000 x 40%)Fair value = P75,000

Repossessed inventory P 75,000Deferred gross profit P 80,000Loss on repossession (plug) P 45,000

Installment receivable P 200,000

 47. b - P450,000 cost P300,000 collections = P150,000 unrecovered costs 48. b 20x4 sales: Cost = P450,000; P300,000 collected in each year 20x4-20x6. P300,000 of

cost recovered in 20x4, the other P150,000 of cost recovered in 20x5, so P150,000 of gross profit recognized in 20x5, leaving P300,000 recognized in 20x6.

20x5 sales: Cost = P900,000; P500,000 collected in 20x5, P400,000 collected in 20x6. P500,000 of cost recovered in 20x5, the other P400,000 of cost recovered in 20x5, so P0 of gross profit recognized in 20x6.

Total: P300,000 + P0 = P300,000 49. d

Page 23: Solution Chapter 7

20x4 Sales: Installment receivables = P900,000 – P300,000 (x4 collections)- P300,000 (x5 collections) = P

300,000Deferred gross profit = P450,000 – P0 (all x4 collections to cost

recovery - P150,000 (P150,000 of x5 collections to cost recovery) = 300,000

Net installment receivable for 20x4 sales = P 0

20x5 Sales: Installment receivables = P1,500,000 – P500,000 (x5 collections)= P1,000,000

Deferred gross profit = P600,000 – P0 (all x5 collections to cost recovery) = P 600,000

Net installment receivable for 20x5 = P 400,000 Total = P 400,000

50. b – same with No. 59.51. c Note: Since the collectibility of the note is reasonably assured, the accrual basis should

be applied. Therefore, full gross profit is recognized in the year of sale. Gross profit on sale:   Sales (P187,500 x 4.3553) P816,619   Cost of sales 637,500 Gross profit (realized) P179,119

52. c Total Income for 20x4: Gross profit (realized) – No. 51 Interest revenue—4 months: P816,619 x 10% x 4/12..

P179,119 _ 27,221

Total income for 20x4 P206,340

53. b Total Income for 20x5: Gross profit (realized) – already recognized in 20x4 P 0 Interest revenue – 8 months in Year 1 (P81,662* x 8/12) P 54,441 4 months in Year 2 (P71,078* x 4/12) 23,693 78,134

Total Income for 20x5 P 78,134

*Schedule of Discount Amortization/Interest Income computation:

(1) (2) (3) (4)Face Net Discount

Amount Unamortized Amount Amortization Year of Note 1 Discount (1) – (2) 10% (3)

1 P1,125,000 P308,3813 P 816,6192 81,6625

2 937,500 226,7194 710,781 71,078

1 P187,500 x 6 years = P1,125,000; every year P187,500 should be deducted on the previous balance.

2 The present value of sales/receivables: P187,500 x 4.3553 = P816,619 3 P1,125,000 – P816,619 4 (2) – (4)

Page 24: Solution Chapter 7

5 Discount amortization give rise to recognition of interest revenue/income.

54. a Note: Since the collectibility of the note cannot be reasonably assured, the installment

sales method should be applied. Also, if the there is high degree of uncertainty as to collectibility, the cost recovery method may be used.

Installment sale: Gross profit (P179,119/P816,619) 22% (rounded)

Gross profit earned in 20x4 (P0* x 22%) P 0* no collections in 20x4.

55. a Total Income for 20x4: Gross profit earned in 20x4 (P0* x 22%) P

0 Interest revenue (refer to No. 52 27,221 Total income for 20x4. P 27,221

56. d Collections in 20x5 (August 31, 20x5) P 187,500 Less: Interest revenue/income from September 1, 20x4 to August 31, 20x5 (refer to schedule of amortization in No. 53) 81,662 Collection as to principal P 105,838 x: Gross Profit % (refer to No. 54) 22% Gross profit realized in 20x5 P 23,284 Add: Interest revenue/income for 20x5 (refer to No. 53) 78,134 Total Income for 20x5 P 101,418

57. d* Resale Value P 8,500Less: Normal profit for 20x6 - year of repossession [(P3,010,000 – P1,896,300)/P3,010,000] x 8,500 3,145Market Value of Repossessed Merchandise P 5,355Less: Unrecovered Costs – 20x5 Defaulted balance* (P27,000 – P16,000) P 11,000 Less: DGP [(P2,160,000 - P1,425,600)/P2,160,000] x P11,000 ___3,740 __7,260Loss on repossession P( 1,905)

Entry made:Inventory of RM* 11,000

IAR-20x5 11,000

Correct Entry (Should be):Inventory of RM (at MV) 5,355DGP-20x5 3,740

Loss on repossession 1,905IAR-20x5 11,000

Correcting Entry:DGP-20x5 3,740

Page 25: Solution Chapter 7

Loss on repossession 1,905Inventory of RM 5,645**

58. d 20x4: P24,000 – P0 = P24,000 collections x 39%P 9,360 20x5: P300,000 – P60,000 – P10,000 defaults = P230,000 x 42% 96,600 20x6: P480,000 – P320,000 – P5,000 defaults = P155,000 x 40% 62,000 Realized gross profit on installment sales in 20x6

P167,960

59. b 20x5 Sales 20x6 Sales

Net Market Values P 4,500 P 3,500 Less: Unrecovered Cost:

IAR, unpaid balances P10,000 P 5,000 x: Cost Ratio 50% 5,800 60% 3,000

Gain (loss) P (1,300) P 500 P( 800)

60. c Installment Sales P 3,600,000 Less: Over-allowance: Trade-in allowance P1,500,000 Less: MV of Trade-in Merchandise:

Estimated Resale Price P 1,400,000 Less: Normal profit (25% x P1,400,000) 350,000

Reconditioning costs 150,000 900,000 600,000 Adjusted Installment Sales P 3,000,000 Less: Cost of I/S 2,500,000 Gross Profit P 500,000 Gross profit rate: P500,000/ P3,000,000 16 2/3% x: Collections –Trade-in merchandise (at MV) P 900,000 RGP on I/S in 20x4 P 150,000

Theories 1.

True 6. True 11. False 16. True 21.

c 26. a 31.

c

2.

True 7. True 12.

True 17.

True 22.

d 27.

b 32.

c

3.

False 8. True 13.

True 18.

b 23.

d 28.

d 33.

c

4.

False 9. True 14.

True 19.

c 24.

c 29.

b 34.

b

5.

True 10,

False 15,

True 20.

c 25.

b 30.

d 35.

b

Page 26: Solution Chapter 7

36. c 41. d37

.d 42

.c

38.

b 43.

c

39.

b 44.

c

40.

d 45.