Shareholders  and profit

The company distributed the profit among the shareholders in the ratio of 2:3:4:7. What was the total profit in the company if the last shareholder received € 1,400?

Correct answer:

x =  3200 Eur

Step-by-step explanation:

$$\begin{gathered} d=\frac{7}{2+3+4+7}=\frac{7}{16}=0.4375 \\ p=1400\text{eur} \\ d\cdot x=p \\ x=p/d=1400/\frac{7}{16}=1400:\frac{7}{16}=1400\cdot \frac{16}{7}=\frac{1400\cdot 16}{7}=\frac{22400}{7}=3200\text{Eur} \end{gathered}$$

Try another example