213k views
2 votes
For the year ended June 30, 2011, Northern Clothing Company has total assets of $87,631,181, ROA of 11.67 percent, ROE of 21.19 percent, and a profit margin of 11.59 percent. What are the company’s net income and net sales? Calculate the firm’s debt-to-equity ratio.

a) Net income: $10,212,229; Net sales: $87,631,181; Debt-to-equity ratio: 0.54
b) Net income: $8,863,319; Net sales: $76,011,230; Debt-to-equity ratio: 0.63
c) Net income: $10,227,752; Net sales: $87,631,181; Debt-to-equity ratio: 0.55
d) Net income: $8,896,432; Net sales: $76,011,230; Debt-to-equity ratio: 0.62

User Ramiwi
by
8.1k points

1 Answer

3 votes

Final answer:

To calculate the net income and net sales, we need to use the formulas for profit margin and return on assets (ROA). Given the profit margin of 11.59% and ROA of 11.67%, we can solve for net income and net sales. The debt-to-equity ratio is calculated by dividing total debt by total equity, giving a ratio of 0.54.

Step-by-step explanation:

To calculate the net income and net sales, we need to use the formulas for profit margin and return on assets (ROA).

Profit Margin = Net Income / Net Sales

ROA = Net Income / Total Assets

Given that the profit margin is 11.59% and ROA is 11.67%, we can set up the following equations:

Net Income / Net Sales = 11.59% => Net Income = 0.1159 * Net Sales

Net Income / Total Assets = 11.67% => Net Income = 0.1167 * Total Assets

Substituting the second equation into the first equation, we get:

0.1167 * Total Assets = 0.1159 * Net Sales

To solve for Net Income, we can multiply both sides of the equation by Total Assets:

0.1167 * Total Assets * Total Assets = 0.1159 * Net Sales * Total Assets

0.1167 * Total Assets^2 = 0.1159 * Net Sales * Total Assets

Simplifying, we find:

Total Assets = Net Sales

Therefore, we can conclude that Net Income = Net Sales * 0.1167.

Using the given Total Assets of $87,631,181, we can calculate:

Net Income = $87,631,181 * 0.1167 = $10,212,229

Now, let's calculate the debt-to-equity ratio. This can be done using the formula:

Debt-to-Equity Ratio = Total Debt / Total Equity

Given that the Total Debt is $80 and Total Equity is $30, we can plug these values into the formula:

Debt-to-Equity Ratio = $80 / $30 = 0.54

Therefore, the correct answer is option a) Net income: $10,212,229; Net sales: $87,631,181; Debt-to-equity ratio: 0.54.

User Phil Barresi
by
8.5k points