Math  /  Algebra

QuestionMonica is a manufacturer of handcrafted wooden signs. The variable cost of each wooden sign Monica produces is $40\$ 40. Monica sells her wooden signs to a wholesaler at a 50\% margin, who then sells the wooden signs to the retailer at an undisclosed markup(\%). The retailer then adds a 30\% margin and sells the product to the consumer at \$160. Based on this information, what is the markup (\%) of the wholesaler?

Studdy Solution
Calculate the wholesaler's markup percentage. The wholesaler's cost is the price they paid to Monica, which is $60.
Let Mw M_w be the wholesaler's markup percentage.
123.08=60+(60×Mw100) 123.08 = 60 + (60 \times \frac{M_w}{100}) 123.0860=60×Mw100 123.08 - 60 = 60 \times \frac{M_w}{100} 63.08=60×Mw100 63.08 = 60 \times \frac{M_w}{100}
Solve for Mw M_w :
Mw100=63.0860 \frac{M_w}{100} = \frac{63.08}{60} Mw=(63.0860)×100 M_w = \left(\frac{63.08}{60}\right) \times 100 Mw105.13 M_w \approx 105.13
The markup percentage of the wholesaler is approximately:
105.13% \boxed{105.13\%}

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