Question

Gemma Ltd. in thousands of dollars Income 346.5 Profit before interest and taxes 27.1 Interest 6.2 Taxes 8.4 Current assets 252.7 Long-term assets 217.4 Current liabilities 215.5 Long-term liabilities 77.5 Equity 177.1 What is the ROS of Gemma Company? a) 16.21% b) 6.03% c) 7.82% d) 4.68% e) none of the above What is the AT of Gemma Company? a) 4.73% b) 1.36 c) 0.73 d) 0.62 e) none of the above What is the ROA of Société Gemma? a) 10.05% b) 6.36% c) 5.71% d) 4.40% e) none of the above

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Answer to a math question Gemma Ltd. in thousands of dollars Income 346.5 Profit before interest and taxes 27.1 Interest 6.2 Taxes 8.4 Current assets 252.7 Long-term assets 217.4 Current liabilities 215.5 Long-term liabilities 77.5 Equity 177.1 What is the ROS of Gemma Company? a) 16.21% b) 6.03% c) 7.82% d) 4.68% e) none of the above What is the AT of Gemma Company? a) 4.73% b) 1.36 c) 0.73 d) 0.62 e) none of the above What is the ROA of Société Gemma? a) 10.05% b) 6.36% c) 5.71% d) 4.40% e) none of the above

Expert avatar
Darrell
4.5
61 Answers
Pour calculer les ratios financiers demandés, on peut utiliser les formules suivantes :

Le ROS (Return on Sales) se calcule en divisant le bénéfice avant intérêts et impôts par le revenu et en multipliant par 100 pour obtenir le pourcentage :

$ROS = \frac{Bénéfice\ avant\ intérêts\ et\ impôts}{Revenus} \times 100$

Le AT (Asset Turnover) se calcule en divisant les revenus par les actifs totaux (la somme des actifs à court terme et à long terme) :

$AT = \frac{Revenus}{Actifs\ à\ court\ terme + Actifs\ à\ long\ terme}$

Le ROA (Return on Assets) se calcule en divisant le bénéfice avant intérêts et impôts par les actifs totaux :

$ROA = \frac{Bénéfice\ avant\ intérêts\ et\ impôts}{Actifs\ à\ court\ terme + Actifs\ à\ long\ terme}$

Maintenant, calculons ces ratios pour la Société Gemma Ltée :

1. Calcul du ROS :
$ROS = \frac{27.1}{346.5} \times 100 = \frac{27.1 \times 100}{346.5} = 7.822\%$

2. Calcul du AT :
$AT = \frac{346.5}{252.7 + 217.4} = \frac{346.5}{470.1} = 0.736$

3. Calcul du ROA :
$ROA = \frac{27.1}{252.7 + 217.4} = \frac{27.1}{470.1} = 5.762\%$

Réponses :
a) 7,82%
b) 0,73
c) 5,71%

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