ABC26GN1132 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

A tank is $\frac{2}{5}$ full. If 16 litres of water is added to the tank, it becomes $\frac{6}{7}$ full. The capacity of the tank is
(a)28 litres
(b)32 litres
(c)35 litres
(d)42 litres
Answer
Answer (as printed): C
Explanation
Let the capacity of the tank be $x$ litres. Then, $\frac{6}{7} x-\frac{2}{5} x=16$ $$\begin{aligned} & \Leftrightarrow 30 x-14 x=16 \times 35 \\ & \Leftrightarrow 16 x=560 \\ & \Leftrightarrow x=35 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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