A drum of kerosene is $$\frac{3}{4}$$ full. When 30 liters of kerosene is drawn from it, it remains $$\frac{7}{{12}}$$ full. The capacity of the drums is = ?

Solution (By Examveda Team)

Let the capacity of the drum be x liters
Then,
$$\eqalign{ & \frac{3}{4}x - \frac{7}{{12}}x = 30 \cr & \Leftrightarrow 9x - 7x = 12 \times 30 \cr & \Leftrightarrow 2x = 360 \cr & \Leftrightarrow x = 180 \cr} $$