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Lesson 1  
Retailing -Overview


Objective:  To develop an understanding of the basic retailing concepts inherent in the selling price of an item and a proficiency with the basic mathematical procedures for this retailing consideration.  Mathematically, the basic concepts/procedures involve P = R ·  B applications and, most importantly, utilization of the complement.
Background: For this course there are five items that comprise the selling price for an item:
  • Net Price (NP, symbolically) - the price a retailer pays to a vendor for the item
  • Freight/Transportation (or Shipping: F/T, symbolically) - the expense a retailer must pay to have the item shipped from the vendor to the retailer.
  • Other (normally storage expense; Oth, symbolically) - any other expense paid by the retailer directly related to the acquisition of the item.
  • Overhead, or, Operating Expense (O, symbolically) - retailer expenses for rent, compensation, employee benefits, utilities, advertising, etc incurred in the usual course of business.  A portion of these expenses should be recovered by the retailer in the selling price of the item.
  • Profit (P, symbolically) - a provision for some profit should be reflected in the selling price of an item.
  • Selling Price (S, symbolically) - the price for the item determined by the retailer reflecting the five expense items defined above.  Symbolically, the basic formula is  NP + F/T + Oth +O + P = S

Additionally, there are four other relationships of importance in this consideration:

  • NP + F/T + BP, Billing Price
  • NP + F/T + Oth = BP + Oth = C, Cost (all expenses directly related to the item)

 

  • O + P = M, Markon (expenses and profit reflected in the selling price in excess of the cost to the retailer for the item.
  • C + M = S, as a result of the previous two relationships.
The net price, NP, is obtained by applying a percentage reduction, trade discount (D, symbolically), to the list price or suggested retail price (LP, symbolically).

Mathematically, the relationship is:
D + NP = LP  (in terms of dollar amounts)
D(%) + NP(%) = 100% (in terms of percents)

D and NP are complements of one another both in terms of dollar amounts and percents. These concepts/relationships are of fundamental importance in mastering the "Discount" topic.

The markon, M, is most often expressed either as a percent of the cost (C) or, as a percent of the selling price (S). The approach used herein in solving problems in the "markon" topic differs from the approach used in the text.

The third topic in retailing is markdown - a reduction in the selling price. Profit is affected first, followed by operating expense, and lastly the cost. A markdown equal to the profit results in a selling price called the break-even price.  Break-even is consistent with no profit- no loss.  Loss situations occur when the markdown causes the selling price to fall below the break-even point so that all operating expenses are not recovered (operating loss) or the cost of the item itself is not fully recovered (gross loss).

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Reading Assignment: As per the syllabus.  Please note that the symbols used herein are not defined in the text.  Also, and most importantly, the solution method used herein differs from the method illustrated in the  text. The methods are consistent; but, the methods illustrated herein are utilized to enhance student understanding/ proficiency of concepts/methods.

Definitions: Covered in background material and in text.

Overview Example: Determine the selling price for an item having a list price of $400, trade discount of 30% and other conditions as defined in the accompanying table.
  • Determine net price, NP:
      % $
    D .30 120
    NP .70 280
    LP 1 400
  • % expressed as decimals (100% = 1 as a decimal)
  • D(%) and N(%) are complements of one another
1 - .30 = .70; 1 - .70 = .30
  • D + NP = LP in terms of dollars.
  • P = R x B applications:
.30 x 400 = 120
.70 x 400 = 280

 


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Item Definition Calculation Amount
NP As done previously As done previously 280
F/T 10% of NP  .10x280 28
BP BP=NP+F/T 280+28 308
Oth $12 for storage   12
C C=NP+F/T+Oth 308+12 320
C=BP+Oth
O 15% of Cost .15x320 48
P 50% of Cost .50x320 160
M M=0+P 48+160 208
S S=NP+F/T+Oth+O+ P 280+28+12+48+160
or
528
S=C+M 320+208

Breakeven Price = S-P = 528-160 = 368

20% Markdown (decrease) would give a selling price of 422.40, as shown:

Method 1
BD= B-RD· B

          

 

Method 2
BD=B(1-RD)

BD = 528 (.80)
BD= 422.40

 

Either Method is Acceptable.

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