ABC26GN2245 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: 2005 · Marks: · Difficulty:
If a bucket is 80\% full, then it contains 2 litres more water than when it is $66 \frac{2}{3} \%$ full. What is the capacity of the bucket?
(a)10 litres
(b)15 litres
(c)$16 \frac{2}{3}$ litres
(d)20 litres
Answer
Explanation
Let the capacity of the bucket be $x$ litres. Then, $80 \%$ of $x-66 \frac{2}{3} \%$ of $x=2$ $$\begin{aligned} & \Rightarrow\left(80-66 \frac{2}{3}\right) \% \text { of } x=2 \Rightarrow 13 \frac{1}{3} \% \text { of } x=2 \\ & \Rightarrow \frac{40}{3} \times \frac{1}{100} \times x=2 \Rightarrow x=\left(\frac{2 \times 100 \times 3}{40}\right)=15 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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