Total asset turnover :
= Sales/ total asset
So, as the total asset turnover is 1.3 x and the total assets is $3,00,000
So, the sales is $3,90,000
Now, as the gross profit margin is 25%,which implies that the COGS is 75% * sales
So, COGS = 75 % * $3,90,000
=$2,92,500
Now, let us calculate the level of inventories,
Inventory turnover ratio = COGS/ INVENTORY
$2,92,500 / INVENTORY = 4
So, the level of inventory is ,
= $73,125
Now, let us calculate the level of fixed assets,
Sales/ fixed assets = 3
So, the level of fixed assets = $1,30,000
Now, let us calculate the accounts receivables,
accounts receivables/ sales * 365 = days sales outstanding
So, AR / $3,90,000 * 365 = 36.5
Accounts receivables = $39,000
The current assets = total assets - fixed assets
= $3,00,000 - $1,30,000
= $1,70,000
So, the level of cash can be calculated as,
Current assets = cash + accounts receivables + inventory
So, cash is 1,70,000 - 39,000 - $73,125
= $57,875
As the current ratio is 2,
So,
CA/ CL = 2
So, the current liabilities = $1,70,000/2
= $85,000
Now as the assets and liabilities side should be equal ,the asset side is $3,00,000
So, the total liabilities + equity = $3,00,000
current liability + long term debt + common stock + retained earnings = $3,00,000
$85,000 + $75,000 + common stock + $75,000 = $3,00,000
So, the common stock is = $65,000
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