Profit chain

If the manufacturer gains 10%, the wholesale dealer 15%, and the retailer 25%, then what is the production cost of a washing machine whose retail price is 1000 euros?

Correct answer:

a =  632.4111 Eur

Step-by-step explanation:

$$\begin{gathered} b=1000\text{eur} \\ {r}_1=100\%+10\%=1+\frac{10}{100}=1.1 \\ {r}_2=100\%+15\%=1+\frac{15}{100}=1.15 \\ {r}_3=100\%+25\%=1+\frac{25}{100}=1.25 \\ r=r_1\cdot r_2\cdot r_3=1.1\cdot 1.15\cdot 1.25=\frac{253}{160}\doteq 1.5813 \\ a\cdot r=b \\ a=b/r=1000/1.5813=632.4111\text{Eur} \end{gathered}$$

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