 
Retail Math Equations
for the Apparel Industry


Retail Math for fashion industry  
If you are a clothing retailer and you have retail math formulas that are not listed on this page, PLEASE let us know them so we can make this section more complete. 
Please utilize these fashion retail math formulas at your own risk. The Apparel Search Company is "not" comprised of mathematicians. We have simply listed formulas that we have collected over the years. In addition, we have supplemented the listing with information that we have received from our viewers. If you have additional formulas or you think any of the above formulas are incorrect, please let us know. $ Cost Cost of Goods Sold (COGS) $ Retail $ Markdown GMROI Gross Margin Markdown $ Markup Margin % Markup cancellation Percent change in sales Planned Stock Sell Through % Stock Sales Ratio Shrinkage Turnover Breakeven Analysis Weeks of Stock You may also want to learn about retail store assortment planning from our fashion terms section. Help us improve; you can email additional formulas or good examples to go with our formulas to us from our contact page. $ Cost = $ Retail x (100%  Markup %)
The above formula is an example of a company that sells finished goods. The formula can be applied to one week, one month or a year, but must be the same for each value of the formula. The formula for a manufacturer includes raw goods and unfinished product in inventory. There is no formula for a service firm, which relies exclusively on market research of competitors and deciding a pricing strategy that allows profitability. Here is another way of stating the same formula:
Last August the stores sales were $ 1,814,476, beginning inventory was 4,875,911, and ending inventory was 4,693,452. August maintained a markup of 28%. The formula for reaching the ROI in this scenario would be as follows. Last Years August sales $1,814,476 x 28% = $508,053.28 Beginning Inventory $4,875,911 + Ending Inventory 4,693,452 = 9,569,363 divided by 2 = 4,784,681 508,053.28 divided by 4,784,691.5 = 10.6 % ROI (Return on Investment) Gross Margin = Sales  cost of good sold Margin % = ($ Retail  $ Cost) / $ Retail Markdown % = $ Markdown / $ Net Sales Markup = The difference between the cost of an item and its selling price. Markup cancellation = Reduction from original markup % You can calculate the percent of change (percent of increase or percent of decrease) from the following formula. This Period of Sales  Last Period of Sales / Last Period of Sales x100% = percent of Change
Example, Apparel Search sold $1500. worth
of blue shirts last year. This year we sold $1575. worth
of blue shirts. What is the percent
of increase on the blue shirts we sold?
($1575
 $1500) / $1500 x100% = 5%
The increase
was 5%
Example, A shirt on ApparelSearch.com is sold at a
20% discount off the original price of $32.
What is the Sales Price?
Let the
sales price by "x" dollars.
($32 
X) / $32 x 100% = 20%
($32 X)
/ $32 = 0.2
$32X =
$6.4
X = $25.6
Therefore, the
sales price of the shirt is $25.60
Example, The original price of a leather jacket was
$500. It is now on sale for $440.
What is the percent of decrease?
Let "X"
be the percent of decrease.
X/100 =
(500440)/500
500X =
6000
X= 12
Therefore,
there was a 12% decrease. Planned Stock = planned monthly sales x stock sales ratio
Sellthrough is a percentage of
units sold during a period (for example 1 month).
It is calculated by dividing the number of units sold by the beginning onhand inventory (for that same time period). Example: During the month of August you sell 100 shirts. You received 300 shirts in receipts. You end August with 900 units shirts of stock (End of Month Stock). What was your Beginning OnHand units of shirts and what was your Sellthrough? Beginning of Month stock (BOM) = EOM 900 units  Receipts 300 units + Sales 100 units = 700 units Sellthrough = Sales 100 units / Beginning Inventory (BOM) 700 = 14.3% Sellthrough in August. BOM
means Beginning of Month Stock Sales Ratio = B.O.M. $ Stock / Sales for period Note: B.O.M = beginning of month Shrinkage = Difference between book and physical inventory "inventory turnover." Turnover is the number of times you sell your average investment in inventory each year. Turnover = net sales for period / average stock for period Here is another way of stating the same formula: Cost of Goods Sold from Stock Sales during the Past 12
Months Inventory turns: The retail sales for a period divided by the average inventory value for that period. Most retailers are in the range of two to four turns a year. Average Stock = sum of each periods Beginning of Period stock + the last End of Period stock / # of periods Breakeven = Fixed Costs / (Revenue
Breakeven Analysis: Simply stated, this formula indicates how much sales volume must be accomplished in order to cover all costs (fixed and variable), and begin generating a profit. In other words, it is the point in sales volume at which you have no profit and no loss. This is most commonly applied to a business that sells product. Inventory divided by average weekly sales for a given period of time. If you have $10,000. worth of inventory in sweaters, and your total sales of sweaters for the past 5 weeks is $20,000. the calculation would look as below: $20,000 divided by 5 = average weekly sales of $4,000. $10,000. divided by $4,000.00 = 2.5 This means that if you did not replenish your sweater inventory and sales continued at the same rate, you would deplete your inventory of sweaters to zero within 2 1/2 weeks. By the way, what are the odds that the your inventory would sell at the "same rate" week after week. Maybe this is why clothing stores are always out of my size. If you do not find enough on this page, you can find books about retail math in the Math for Merchandising Books section.Please utilize these formulas at your own risk. The Apparel Search Company is "not" comprised of mathematicians. We have simply listed formulas that we have collected over the years. In addition, we have supplemented the listing with information that we have received from our viewers. If you have additional formulas or you think any of the above formulas are incorrect, please contact us.
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