First we will calculate the sales for the months of July and August:
July sales will be 110% of June sales and august sales will be 115% of July sales. So,
Sales:
July sales = $250000 * 110% = $275000
August sales = $275000 * 115% = $316250
Next we will calculate cost of goods sold for the months of July and August. Gross profit is 60%. So, cost of goods sold will be 40% of sales.So, cost of goods sold for July will be 40% of July sales and cost of goods sold for August will be 40% of august sales as per below:
Cost of goods sold:
July = $275000 * 40% = $110000
August = $316250 * 40% = $126500
Next we will calculate the ending inventories for June and July.
Ending inventory for June will be 15% of July cost of goods sold and ending inventory for July will be 15% August cost of goods sold. So,
Ending inventory:
June ending inventory = $110000 * 15% = $16500
July ending inventory = $126500 * 15% = $18975
Now, we will calculate the purchases of July with the below formula:
Cost of goods sold = Beginning inventory + Purchases - Ending inventory
Where, Cost of goods sold for July = $110000, Beginning inventory of July = Ending inventory of June = $16500, Ending inventory of July = $18975
Putting these values in the above equation, we get,
$110000 = $16500 + Purchases - $18975
$110000 = Purchases - $2475
Purchases = $110000 + $2475
Purchases = $112475
So, the budgeted purchases for the month of July are $112475.
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