Terry company had january 1 inventory of $100,000 when it adopted dollar-value lifo. during the year, purchases were $600,000 and sales were $1,000,000. december 31 inventory at year-end prices was $143,360, and the price index was 112 (price index for base year = 100). what is terry’s ending inventory and gross profit, respectively

Respuesta :

Answer:

Terry's Closing Inventory is $131,360.

Terry's Gross profit is $431,360.

We follow these steps to arrive at the answers:

1. Calculate the base value of closing inventory (CI):

[tex]CI_{base value} = \frac{CI*Index at base year}{current price index}[/tex]

[tex]CI_{base value} = \frac{143360*100}{112} =  128,000[/tex]

2. Calculate additions to inventory at base price

[tex]Additions to inventory = CI_{base value} - Beginning inventory[/tex]

[tex]Additions to inventory = 128000 - 100000 = 28,000[/tex]

3. Calculate the value of additions to inventory at current prices

[tex]Additions to inventory_{current Value} = Additions to inventory_{base Value} * \frac{current price index}{base price index}[/tex]

[tex]Additions to inventory_{current Value} = 28,000 * \frac{112}{100} = 31,360[/tex]

4. Calculate the value of Closing inventory

[tex]Closing inventory = Beginning Inventory + Additions to inventory_{current Value}[/tex]

[tex]Closing inventory = 100,000 + 31,360 =  131,360[/tex]

5. Compute Cost of Goods Sold (COGS):

[tex]COGS = Opening Inventory + Purchases - Closing Inventory[/tex]

[tex]COGS = (100000 + 600000 - 131360) = 568640[/tex]

6. Compute Gross profit

[tex]Gross profit = Sales - COGS[/tex]

[tex]Gross profit = 1000000 - 568640 = 431360[/tex]