Let the first part be x of 150
According to the question second part is \(\frac{5}{6}\text{x}\)
And the third part is \(\frac{4}{5}(\frac{5}{6}\text{x})\)
Adding all of them
\(\text{x}+\frac{5}{6}\text{x}+\frac{20}{30}\text{x}=150\)
Taking LCM of 6 and 30 = 30
\(\Rightarrow \frac{30\text{x+25x+20x}}{30}=150\)
⇒ 75x = 150 × 30
\(\Rightarrow \text{x}=\frac{4500}{75}=60\)
Second part = \(\frac{5}{6}\text{x}=50\)
Third part = \(\frac{4}{5}(\frac{5}{6}\text{x})=40\)