Question

The musical instrument store estimates costs of $18,750.00 annually to carry inventory of musical instruments and accessories. the costs include 12% for storage, 12% for interest, and 5% for transportation. what is the value of the inventory to the nearest cent?

Answer 1

To find the value of the inventory to the nearest cent:
Estimated costs are: $18,750
Storage costs: 12%
Interest costs: 12%
Transportation costs: 5%
Let's add the costs up: 12% + 12% + 5% = 29%

We are solving for the value of inventory so in this case we will make that X.
X = estimated costs/interest amounts
X = $18,750/29%
X = $18,750/0.29
X = $64,655.17

The value of the inventory is $64,655.17

To check your work you can take $64,655.17 and multiply it by 29%
= $18,750