A drum of kerosene is 3/4 full. When 30 litres of kerosene is drawn from it, it remains 7/12 full. The… · ABC26GN1133
Subject: General Aptitude · Chapter: Simplification · Exam: S.S.C. 2010
A drum of kerosene is $\frac{3}{4}$ full. When 30 litres of kerosene is drawn from it, it remains $\frac{7}{12}$ full. The capacity of the drum is
(a)120 litres
(b)135 litres
(c)150 litres
(d)180 litres
Answer
Explanation
Let the capacity of the drum be $x$ litres. Then, $\frac{3}{4} x-\frac{7}{12} x=30$ $$\begin{aligned} & \Leftrightarrow 9 x-7 x=12 \times 30 \\ & \Leftrightarrow 2 x=360 \\ & \Leftrightarrow x=180 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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