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  • 1.  CMA Pt. 2 Q78 | Gross Margin and Operating Margin

    Posted 09-05-2020 11:02 AM
    Hello everyone,

    I am having a hard time understand how can a company increase it operating profit margin while its gross profit margin decreases by lowering the selling price to increase quantities sold.

    Can somebody explain the question below to me please?

    According to its public financial statements, a company's gross profit margin decreased by 5% while
    its operating profit margin increased by 3%. Which one of the following factors could cause both of
    these changes?

    a. An increase in the cost per unit of the goods purchased from a supplier.
    b. A change to the variable costing income statement format.
    c. A lowered selling price to increase quantities sold.
    d. Sale of fully-depreciated production machinery at a gain and replacement of the machines with
    newer models.

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    Diogo Pimenta

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  • 2.  RE: CMA Pt. 2 Q78 | Gross Margin and Operating Margin

    Posted 09-07-2020 02:32 AM
    Hi Diogo,

    I believe you understand a lowered selling price leads to a company's gross profit margin decreased by 5%. You just don't understand why its operating profit margin increased by 3%. Increased quantities sold can increase the gross profit in dollars. Administrative expenses( or SG&A) usually are fixed regardless of how many quantities sold. Hence increased gross profit subtracts fixed SG&A=increased operating profit. The operating profit margin could go up.   ​

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    Regards,
    Christine Ye
    Manager
    China
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  • 3.  RE: CMA Pt. 2 Q78 | Gross Margin and Operating Margin

    Posted 09-10-2020 03:57 AM
    @Yuyan Ye thanks for getting back to me. I understand it conceptually. However, I haven't been able to translate this into the formulas.

    Gross Margin formula is [(P - VC)*Q] / [P*Q] which simplified gets to 1 - (VC/P).

    Operational Margin on the other hand is GM - SG&A which might be written as 1 - (CV/P) - (SG&A/P*Q).

    Therefore, even if gross profit in dollars increase I don't see how the OM would increase, based on the formulas above.

    What am I missing?



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    Diogo Pimenta
    Analyst
    Barreiro
    Portugal
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