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Katen [24]
2 years ago
8

Monsieur Anatole est un artisan spécialiser dans la fabrication de colliers. Il dispose 3 717 perles rouges et de 2 205 perles b

lanches. En utilisant toutes ses perles, il réalise au maximum de colliers identique. La réalisation de chaque collier lui coute 9,84 €. Un deuxième artisan, Monsieur Bernards, utilise la totalité de ces 1472 perles rouges et 2 898 perles blanches pour fabriquer un maximum de colliers identiques. La fabrication d'un collier lui revient à 8,48 €. Les deux artisans décident de fixer le prix de vente de chaque colliers selon la constitution, à savoir : 22 centimes d'euro par perle rouge et 13 centimes par perles blanches. Sur la vente d'un collier, quel artisan réalise le meilleure bénéfice ?
Mathematics
1 answer:
djyliett [7]2 years ago
6 0

Answer:

Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard

Step-by-step explanation:

a) Pour Monsieur Anatole

Nous trouvons le plus grand diviseur commun de 3717 et 2205

Par conséquent, le plus grand diviseur commun = 63

Le nombre de colliers qu'il a fabriqués = 63

Découvrir combien de perles rouges et blanches il a utilisées

Pour les perles rouges =

= 3717/63 = 59 perles

Pour les perles blanches

= 2205/63 = 35 perles blanches

il fabrique 63 colliers avec 59 perles rouges et 35 perles blanches

On nous dit dans la question que:

Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.

Le prix de vente du collier =

0,22 × 59 + 0,13 × 35 = 17,53 €

Prix ​​de revient = 9,84 €

Le profit est calculé comme suit:

17,53 € - 9,84 € = 7,69 €

Nous calculons le pourcentage de profit

= Bénéfice / Prix de revient × 100

= 7,69 / 9,84 × 100

= 78,150406504%

= 78,2%

b) Pour Monsieur Bernard

Le GCD de 1472 et 2898 = 46

Par conséquent, il a fait 46 colliers

Le nombre de perles rouges = 1472/46

= 32 perles rouges

Le nombre de perles blanches = 2898/46

= 63 perles blanches

Les deux artisans décident de fixer le prix de vente de chaque collier selon la constitution, à savoir: 22 centimes d'euro par perle rouge et 13 centimes par perle blanche.

Le prix de vente de chaque colliers = 32 × 0,22 + 63 × 0,13 = 15,23 €

Le coût Prix du collier = 8,48 € chacun

Le profit qu'il a réalisé = 15,23 € - 8,48 €

= 6,75 €

Nous calculons le pourcentage de profit

= Bénéfice / Prix de revient × 100

= 6,75 / 8,48 × 100

= 79,5990566%

= 79,6%

Sur la vente d'un collier, l'artisan qui a fait le meilleur profit était Monsieur Bernard

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