Answer: The required dealers cost of the refrigerator is $417.
Step-by-step explanation: Given that the selling price of a refrigerator is $521.25 and the markup is 25% of the dealers cost.
We are to find the dealers cost of the refrigerator.
Let x denotes the dealers cost of the refrigerator.
Then, according to the given information, we have
[tex]x+25\%\times x=521.25\\\\\Rightarrow x+\dfrac{25}{100}\times x=521.25\\\\\\\Rightarrow x+\dfrac{1}{4}x=521.25\\\\\\\Rightarrow \dfrac{5x}{4}=521.25\\\\\\\Rightarrow x=\dfrac{521.25\times4}{5}\\\\\\\Rightarrow x=\dfrac{2085}{5}\\\\\Rightarrow x=417.[/tex]
Thus, the required dealers cost of the refrigerator is $417.
