Question

Knowing she has sold 5,000 pairs, assume the company wants to launch a Black Friday promotion, where she would discount her shoes by 10%. How many more shoes would she have to sell to justify this promotion

Answer 1

Revenue: $500,000

Shoes: $250,000

Shoe boxes: $1,000

Advertising: $500

Rent: $1,000

Depreciation: $25

Knowing she has sold 5,000 pairs, assume the company wants to launch a Black Friday promotion, where she would discount her shoes by 10%. How many more shoes would she have to sell to justify this promotion?

A. 25.13% more shoes

B. 20.08% more shoes

C. None of the above, but I could calculate this with the information I am given.

D. None of the above, I cannot calculate this with the information I am given.

Answer:

Option A. 25.13% more shoes

Explanation:

Cost Benefit analysis would be useful here to acknowledge what percentage of shoe sales is required to justify the promotion.

The Benefit drawn before 10% promotion proposal:

Revenue:                           $500,000

Shoes:                               ($250,000)

Shoe boxes:                         ($1,000)

Advertising:                           ($500)

Rent:                                     ($1,000)

Depreciation:                          ($25)

Profit                                    $247,475

The Benefit drawn before 10% promotion proposal:

Revenue:                           $450,000

Shoes:                               ($250,000)

Shoe boxes:                        ($1,000)

Advertising:                          ($500)

Rent:                                    ($1,000)

Depreciation:                         ($25)

Profit                                   $197,475

Now we can calculate how much additional sales must be required to justify the promotion.

Sales Increase Required = (Initial Profit - Before Promotion) / Profit After Promotion

Sales Increase Required = ($247,475  - $197,475) / $197,475

Sales Increase Required = 25.31% which is close to option 1, hence Option 1 is correct here.