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operating profit

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA PM Exams › operating profit

  • This topic has 1 reply, 2 voices, and was last updated 4 years ago by John Moffat.
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  • July 3, 2021 at 5:57 am #626868
    xyzc
    Participant
    • Topics: 413
    • Replies: 175
    • ☆☆☆☆

    log co has an operating gearing ratio of 33.33%. Its sales are currently 100m and its operating profit is 20m. Operating gearing is calculated by dividing fixed costs by variable costs.
    What will its operating profit be if its sales increase by 15%
    I calculated the sales to be 100*1.15 = 115
    Variable costs 66.67/100*115 = 76.6705
    Fixed costs 33.33/100*100 = 33.33
    Operating profit 115-76.6705-33.33=4.9995
    Where have I went wrong

    July 3, 2021 at 9:17 am #626889
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54700
    • ☆☆☆☆☆

    Fixed costs divided by variable costs = 33.33% or 1/3.

    Therefore for every $1 of fixed costs the variable costs are $3, and the total costs are $1 + $3 = $4.

    At the moment the operating profit is $20 and so the total costs are 100 – 20 = $80.

    Of these $80, the fixed costs are 1/4 x $80 = $20, and the variable costs are 3/4 x $80 = $60.

    The sales increase to 100 x 1.15 = $115
    The variable costs increase to 60 x 1.15 = $69
    The fixed costs, by definition, remain at $20.

    Therefore the new operating profit = 115 – 69 – 20 = $26M

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