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Fashion Merchandising Formulas

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Sell-Through Rate

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Formula: Sell-Through Rate=(Units SoldUnits Received)×100\text{Sell-Through Rate} = \left(\frac{\text{Units Sold}}{\text{Units Received}}\right) \times 100 Example: If you received 300 units and sold 250, the sell-through rate is (250300)×100=83.33%\left(\frac{250}{300}\right) \times 100 = 83.33\%.

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Stock Turnover Rate

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Formula: Stock Turnover Rate=SalesAverage Stock\text{Stock Turnover Rate} = \frac{\text{Sales}}{\text{Average Stock}} Example: If annual sales are 100,000andaveragestockis100,000 and average stock is 20,000, turnover rate is 100,00020,000=5\frac{100,000}{20,000} = 5 times per year.

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Return on Assets (ROA)

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Formula: ROA=(Net IncomeTotal Assets)×100\text{ROA} = \left(\frac{\text{Net Income}}{\text{Total Assets}}\right) \times 100 Example: If net income is 22,000andtotalassetsare22,000 and total assets are 110,000, ROA is (22,000110,000)×100=20%\left(\frac{22,000}{110,000}\right) \times 100 = 20\%.

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Gross Margin

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Formula: Gross Margin=Sales RevenueCOGS\text{Gross Margin} = \text{Sales Revenue} - \text{COGS} Example: If sales revenue is 200,000andCOGSis200,000 and COGS is 125,000, gross margin is 200,000200,000 - 125,000 = 75,000.75,000.

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Return on Equity (ROE)

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Formula: ROE=(Net IncomeShareholder’s Equity)×100\text{ROE} = \left(\frac{\text{Net Income}}{\text{Shareholder's Equity}}\right) \times 100 Example: If net income is 18,000andshareholdersequityis18,000 and shareholder's equity is 90,000, ROE is (18,00090,000)×100=20%\left(\frac{18,000}{90,000}\right) \times 100 = 20\%.

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Markup Percentage

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Formula: Markup Percentage=(Selling PriceCostCost)×100\text{Markup Percentage} = \left(\frac{\text{Selling Price} - \text{Cost}}{\text{Cost}}\right) \times 100 Example: If an item costs 20andsellsfor20 and sells for 50, the markup percentage is (502020)×100=150%\left(\frac{50 - 20}{20}\right) \times 100 = 150\%.

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Current Ratio

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Formula: Current Ratio=Current AssetsCurrent Liabilities\text{Current Ratio} = \frac{\text{Current Assets}}{\text{Current Liabilities}} Example: If current assets are 100,000andcurrentliabilitiesare100,000 and current liabilities are 50,000, the current ratio is 100,00050,000=2\frac{100,000}{50,000} = 2.

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Break-Even Point in Units

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Formula: Break-Even Point=Fixed CostsPrice per UnitVariable Cost per Unit\text{Break-Even Point} = \frac{\text{Fixed Costs}}{\text{Price per Unit} - \text{Variable Cost per Unit}} Example: If fixed costs are 2,000,priceperunitis2,000, price per unit is 50, and variable cost per unit is 30,thebreakevenpointis30, the break-even point is \frac{2000}{50 - 30} = 100units. units.

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Gross Margin Percentage

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Formula: Gross Margin Percentage=(Gross MarginSales Revenue)×100\text{Gross Margin Percentage} = \left(\frac{\text{Gross Margin}}{\text{Sales Revenue}}\right) \times 100 Example: If gross margin is 75,000andsalesrevenueis75,000 and sales revenue is 200,000, gross margin percentage is (75,000200,000)×100=37.5%\left(\frac{75,000}{200,000}\right) \times 100 = 37.5\%.

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Gross Margin Return on Investment (GMROI)

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Formula: GMROI=Gross MarginAverage Inventory Cost\text{GMROI} = \frac{\text{Gross Margin}}{\text{Average Inventory Cost}} Example: If gross margin is 50,000andaverageinventorycostis50,000 and average inventory cost is 20,000, GMROI is 50,00020,000=2.5\frac{50,000}{20,000} = 2.5.

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Contribution Margin (CM)

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Formula: CM=Price per UnitVariable Cost per Unit\text{CM} = \text{Price per Unit} - \text{Variable Cost per Unit} Example: If price per unit is 100andvariablecostperunitis100 and variable cost per unit is 65, CM is 100100 - 65 = 35perunit.35 per unit.

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Net Profit Margin

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Formula: Net Profit Margin=(Net IncomeSales Revenue)×100\text{Net Profit Margin} = \left(\frac{\text{Net Income}}{\text{Sales Revenue}}\right) \times 100 Example: If net income is 30,000andsalesrevenueis30,000 and sales revenue is 200,000, net profit margin is (30,000200,000)×100=15%\left(\frac{30,000}{200,000}\right) \times 100 = 15\%.

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Operating Profit Margin

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Formula: Operating Profit Margin=(Operating IncomeSales Revenue)×100\text{Operating Profit Margin} = \left(\frac{\text{Operating Income}}{\text{Sales Revenue}}\right) \times 100 Example: If operating income is 40,000andsalesrevenueis40,000 and sales revenue is 200,000, operating profit margin is (40,000200,000)×100=20%\left(\frac{40,000}{200,000}\right) \times 100 = 20\%.

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Price to Earnings Ratio (P/E Ratio)

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Formula: P/E Ratio=Market Price per ShareEarnings per Share (EPS)\text{P/E Ratio} = \frac{\text{Market Price per Share}}{\text{Earnings per Share (EPS)}} Example: If the market price per share is 50andEPSis50 and EPS is 5, P/E Ratio is 505=10\frac{50}{5} = 10.

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Retail Price Calculation

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Formula: Retail Price=Cost+(Markup Percentage×Cost)\text{Retail Price} = \text{Cost} + (\text{Markup Percentage} \times \text{Cost}) Example: If a dress costs 25andthemarkuppercentageis6025 and the markup percentage is 60%, retail price is 25 + (0.60 \times 25) = 40.40.

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Days Sales of Inventory (DSI)

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Formula: DSI=Average InventoryCOGS per Day\text{DSI} = \frac{\text{Average Inventory}}{\text{COGS per Day}} Example: If average inventory is 10,000anddailyCOGSis10,000 and daily COGS is 200, DSI is 10,000200=50\frac{10,000}{200} = 50 days.

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Initial Markup (IMU)

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Formula: IMU=Retail PriceCost of Goods Sold (COGS)Retail Price×100\text{IMU} = \frac{\text{Retail Price} - \text{Cost of Goods Sold (COGS)}}{\text{Retail Price}} \times 100 Example: If retail price is 60andCOGSis60 and COGS is 35, IMU is 603560×100=41.67%\frac{60 - 35}{60} \times 100 = 41.67\%.

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Average Inventory

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Formula: Average Inventory=Beginning Inventory+Ending Inventory2\text{Average Inventory} = \frac{\text{Beginning Inventory} + \text{Ending Inventory}}{2} Example: If beginning inventory is 5,000andendinginventoryis5,000 and ending inventory is 7,000, average inventory is 5,000+7,0002=\frac{5,000 + 7,000}{2} = 6,000.

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Break-Even Point in Dollars

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Formula: Break-Even Point=Fixed Costs1Variable Cost Ratio\text{Break-Even Point} = \frac{\text{Fixed Costs}}{1 - \text{Variable Cost Ratio}} Example: If fixed costs are 5,000andvariablecostratiois0.40,breakevenpointis5,000 and variable cost ratio is 0.40, break-even point is \frac{5,000}{1 - 0.40} = 8,333.33.8,333.33.

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Contribution Margin Ratio (CM Ratio)

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Formula: CM Ratio=CM per UnitPrice per Unit×100\text{CM Ratio} = \frac{\text{CM per Unit}}{\text{Price per Unit}} \times 100 Example: If CM per unit is 35andpriceperunitis35 and price per unit is 100, CM ratio is 35100×100=35%\frac{35}{100} \times 100 = 35\%.

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Inventory Turnover Ratio

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Formula: Inventory Turnover Ratio=COGSAverage Inventory\text{Inventory Turnover Ratio} = \frac{\text{COGS}}{\text{Average Inventory}} Example: If COGS is 90,000andaverageinventoryis90,000 and average inventory is 15,000, inventory turnover ratio is 90,00015,000=6\frac{90,000}{15,000} = 6.

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