ABC26GN2985 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: 2007 · Marks: · Difficulty:
If 20\% of $A=30 \%$ of $B=\frac{1}{6}$ of $C$, then $A: B: C$ is
(a)2 : 3 : 16
(b)3 : 2 : 16
(c)10 : 15 : 18
(d)15 : 10 : 18
Answer
Explanation
20\% of $A=30 \%$ of $B=\frac{1}{6}$ of $C \Rightarrow \frac{20 A}{100}=\frac{30 B}{100}=\frac{C}{6}$ $$\begin{aligned} & \Rightarrow \frac{A}{5}=\frac{3 B}{10}=\frac{C}{6}=k \text { (say) } \\ & \Rightarrow A=5 k, B=\frac{10 k}{3}, C=6 k . \\ & \therefore A: B: C=5 k: \frac{10 k}{3}: 6 k=5: \frac{10}{3}: 6=15: 10: 18 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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