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Keller Cosmetics maintains an operating profit margin of 8.55% and a sales-to-as

ID: 2768196 • Letter: K

Question

Keller Cosmetics maintains an operating profit margin of 8.55% and a sales-to-assets ratio of 3.00. It has assets of $610,000 and equity of $410,000. Interest payments are $41,000 and the tax rate is 30%.

What is the return on assets? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

What is the return on equity? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Keller Cosmetics maintains an operating profit margin of 8.55% and a sales-to-assets ratio of 3.00. It has assets of $610,000 and equity of $410,000. Interest payments are $41,000 and the tax rate is 30%.

Explanation / Answer

a.

Calculation of Return On Assets (ROA):

ROA = Net income / Average total assets

Sales to assets ratio = 3

3 = Sales revenue / Assets

3 = Sales revenue / $610,000

Sales revenue = $610,000 *3

Sales revenue = $1,830,000

Operating profit = $1,830,000 * 8.55%

Operating profit = $156,465

Net income = Operating profit – Interest – Tax

= $156,465 - $41,000 – ($115,465 *30%)

= $80,826

Therefore, net income is $80,826

ROA = Net income / Average total assets

= $80,826 / $610,000

=0.133 times

b.

Return on equity (ROE):

= Net income / Shareholders equity

= $80,826 / $410,000

= 0.197 times