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As a result of taking a physical inventory count on December 31, 2004, the Chuck

ID: 2559851 • Letter: A

Question

As a result of taking a physical inventory count on December 31, 2004, the Chuckles Company inventory was determined to be $82,500. The auditors for Chuckles suspected an inventory shortage and used the gross profit method to estimate the ending inventory. The accounting records for the company contained the following information:

Inventory (1/1/04)

$ 130,000

Purchases (2004)

760,000

Sales (2004)

1,020,000

Sales Returns (2004)

60,000

Gross Profit Ratio

30% of sales

Using the gross profit method, what did the auditors estimate as the amount of the inventory shortage at December 31, 2004?

a.

$240,000

b.

$100,000

c.

$135,500

d.

$170,000

Inventory (1/1/04)

$ 130,000

Purchases (2004)

760,000

Sales (2004)

1,020,000

Sales Returns (2004)

60,000

Gross Profit Ratio

30% of sales

Explanation / Answer

Net Sales

= Sales – Sales returns

= $ 1,020,000 - $ 60,000

= $ 960,000

Gross profit

= 30% of Sales

= 30% of $ 960,000

= $ 288,000

So, Cost of goods sold

= Net Sales – Gross Profit

= $ 960,000 - $ 288,000

= $ 672,000

So, Closing inventory as per gross profit method

= Opening Inventory + Purchases – Cost of goods sold

= $130,000 + $760,000 - $ 672,000

= $218,000

So, estimated shortage of inventory

= Valuation as per auditors – Value as given by the company

= $218,000 - $82,500

= $135,500

So, option c is the correct option

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