Thompson TV and Appliance reported the following in its 2021 financial statements:
2021
Sales $ 420,000
Cost of goods sold:
Inventory, January 1 82,000
Net purchases 340,000
Goods available for sale 422,000
Inventory, December 31 86,000
Cost of goods sold 336,000
Gross profit $ 84,000
Thompson's 2021 gross profit ratio is:________.
a. 3.91
b. 4.00.
c. 4.88
d. 5.00

Respuesta :

Answer:

Gross profit ratio= 20; inventory turnover ratio= 4.00.

Explanation:

Given option in the question are incorrect for gross profit ratio as option given are for Inventory turnover ratio.

Given: Net sales= $420000.

          Cost of goods sold= $336000

           Gross profit= $84000

Now, claculating the gross profit ratio.

Formula; Gross profit ratio= [tex]\frac{Gross\ profit}{Net\ sales} \times 100[/tex]

⇒ Gross profit ratio= [tex]\frac{84000}{420000}\times 100[/tex]

∴  Gross profit ratio= 20

Now, finding the Inventory turn over ratio.

Formula; [tex]Inventory\ turnover\ ratio= \frac{cost\ of\ good\ sold}{average\ inventory}[/tex]

Average inventory= [tex]\frac{Beginning\ inventory + ending\ inventory}{2}[/tex]

⇒ Average inventory= [tex]\frac{82000+86000}{2}[/tex]

∴ Average inventory= [tex]\frac{168000}{2} = 84000[/tex]

Next, [tex]Inventory\ turnover\ ratio= \frac{336000}{84000}[/tex]

⇒ [tex]Inventory\ turnover\ ratio= 4.00[/tex]

Hence, Gross profit is 20 and inventory turnover ratio is 4.00