(a) Determine the ending inventory under the conventional retail method for the furniture department of Mayron Department Stores from the following data. Cost Retail Inventory, Jan. 1 \( 149,000 \) 283,500 Purchases 1,400,000 2,160,000 Freight-in 70,000 Markups, net 92,000 Markdowns, net 48,000 Sales revenue 2,175,000 (b) If the results of a physical inventory indicated an inventory at retail of $295,000, what inferences would you draw?

Short Answer

Expert verified

(a) Ending inventory at cost equals $199,531.25.

(b) Ending inventory at retail is $312,500, whereas, per the physical count, it is $295,000. This indicates that inventory at retail is worth $17,500, and inventory at a cost worth $11,173.75 is not accounted for.

Step by step solution

01

Calculation of ending inventory at retail

Ending inventory at retail is calculated as follows:

Cost

Retail

Beginning inventory

$149000

$283500

Purchases

1,400,000

2,160,000

Freight-in

70,000

0

Total

1,619,000

2,443,500

Add: Markups, net

92000

$1619000

2,535,500

Less: Markdowns, net

48000

2,487,500

Less: Sales revenue

2,175000

Ending inventory, at retail

$312,500

02

Calculation of ratio of cost to selling price

The ratio of cost to selling price is calculated as follows:

RatioofCosttoSellingPrice=InventoryatCostInventoryatRetail=$1,619,000$2,535,500=63.85%

03

Calculation of ending inventory at cost

The ending inventory at cost is calculated as follows:

Endinginventoryatcost=InventoryatRetail×RatioofCosttoSellingPrice=$312,500×63.85%=$199,531.25

04

Calculation of Not accounted inventory at retail

Not accounted inventory at retail is calculated as follows:

NotAccountedInventoryatRetail=EndingInventoryatRetail-PhysicalEndingInventoryatretail=$312,500-$295,000=$17,500

05

Calculation of Not accounted inventory at cost

Not accounted inventory at cost is calculated as follows:

NotaccountedInventoryatcost=NotaccountedinventoryatRetail×RatioofCostofSellingPrice=$17,500×63.85%=$11,173.75

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