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Styles Chriss Widgets made the following purchases of inventory during the month of September. Total costs Cost per unit #of
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Answer #1

Answer 1)

Calculation of cost of goods sold under LIFO Method

LIFO Method: Under LIFO method cost of goods sold is calculated assuming that the units of inventory which are latest bought will be sold first and moving backwards. In the given question, out of the 500 units sold, under LIFO method, 150 units will be from the units purchased on 29th September at $ 4.00 per unit, 100 units will be from the units purchased on 24th September at $ 3.00 per unit and balance 250 units will be from the units purchased on 17th September at $ 2.50 per unit.

Date

Number of Units

Cost per Unit (in $)

Total Cost (In $)

17' September

250

                              2.50

                           625

24' September

100

                              3.00

                           300

29' September

150

                              4.00

                           600

Total

500

                       1,525

Therefore the cost of 500 units sold under LIFO method is $ 1,525.

Answer 2)

Calculation of cost of goods sold under FIFO Method

FIFO Method: Under FIFO method cost of goods sold is calculated assuming that the units of inventory which are first bought will be sold first and so on. In the given question, out of the 500 units sold, under FIFO method, 100 units will be from the units purchased on 5th September at $ 1.00 per unit, 200 units will be from the units purchased on 7th September at $ 1.50 per unit, 150 units will be from the units purchased on 10th September at $ 2.00 per unit and balance 50 units will be from the units purchased on 17th September at $ 2.50 per unit.

Date

Number of Units

Cost per Unit (in $)

Total Cost (In $)

5' September

100

                              1.00

                     100

7' September

200

                              1.50

                     300

10' September

150

                              2.00

                     300

17' September

50

                              2.50

                     125

Total

500

                     825

Therefore the cost of 500 units sold under FIFO method is $ 825.

Answer 3)

Calculation of cost of goods sold under Weighted Average Method

Weighted Average Method: Under weighted average method, cost of goods sold is calculated by multiplying the number of units sold with the weighted average cost. The weighted average cost is calculated by dividing the aggregate cost of beginning inventory and all units purchased during the period by the total number of units in beginning inventory and units purchased during the period.

Cost of Goods sold = Number of units sold X Weighted average cost per unit

                                  = 500 units X $ 2.35 per unit

                                  = $ 1,175              

Therefore the cost of 500 units sold under Weighted Average method is $ 1,175.

Calculation of Weighted Average cost

Date of Purchase

Number of Units

Cost per Unit (in $)

Total Cost (In $)

5' September

100

                              1.00

                           100

7' September

200

                              1.50

                           300

10' September

150

                              2.00

                           300

17' September

300

                              2.50

                           750

24' September

100

                              3.00

                           300

29' September

150

                              4.00

                           600

Total

1000

                       2,350

Weighted average cost = (Total cost of units in beginning inventory and purchased during the year/ Total number of units in beginning inventory and purchased during the year)

                                                      = $ 2,350/ 1,000 units

                                                      = $ 2.35 per unit

Therefore the weighted average cost is $ 2.35 per unit

Answer 4)

Calculation of Net profit

Method

Income

Cost of Goods Sold

Net Profit

LIFO

                       $ 5,000

                            $ 1,525

                       $ 3,475

FIFO

                       $ 5,000

                               $ 825

                       $ 4,175

Weighted Average

                       $ 5,000

                            $ 1,175

                       $ 3,825

Therefore the Net profit under LIFO Method is $ 3,475, FIFO method is $ 4,175 and under weighted average method is $ 3,825.

Working Notes:

Sales = Number of units sold X selling price per unit

          = 500 units X $ 10.00 per unit

        = $ 5,000

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