221. A company has a Gross Profit of \$4,50,000 and its Net Sales are \$15,00,000. If the company reduces its cost of goods sold by 10\% without changing the Net Sales, what will be the new Gross Profit Ratio?
Key Concept: Gross Profit Ratio, Net Sales
d) 37\%
[Solution Description]
First, find the original Cost of Goods Sold (COGS). COGS = Net Sales - Gross Profit = \$15,00,000 - \$4,50,000 = \$10,50,000.
Then, compute the reduced COGS after a 10\% reduction: New COGS = \$10,50,000 - (10\% of \$10,50,000) = \$10,50,000 - \$1,05,000 = \$9,45,000.
Now, calculate the new Gross Profit: New Gross Profit = Net Sales - New COGS = \$15,00,000 - \$9,45,000 = \$5,55,000.
Finally, compute the new Gross Profit Ratio using the formula:
$Gross Profit Ratio = \frac{Gross Profit}{Net Sales} \times 100 = \frac{5,55,000}{15,00,000} \times 100 = 37\%$
Your Answer is correct.
d) 37\%
[Solution Description]
First, find the original Cost of Goods Sold (COGS). COGS = Net Sales - Gross Profit = \$15,00,000 - \$4,50,000 = \$10,50,000.
Then, compute the reduced COGS after a 10\% reduction: New COGS = \$10,50,000 - (10\% of \$10,50,000) = \$10,50,000 - \$1,05,000 = \$9,45,000.
Now, calculate the new Gross Profit: New Gross Profit = Net Sales - New COGS = \$15,00,000 - \$9,45,000 = \$5,55,000.
Finally, compute the new Gross Profit Ratio using the formula:
$Gross Profit Ratio = \frac{Gross Profit}{Net Sales} \times 100 = \frac{5,55,000}{15,00,000} \times 100 = 37\%$