If \(60\% \text{ of } A = 0.3 \text{ of } B = \tfrac{1}{6} \text{ of } C\), find \(A : B : C\).
5 : 10 : 18
Step 1 — Let the common value be k:
\(0.6A = 0.3B = \tfrac{1}{6}C = k\)
Step 2 — Express A, B, C in terms of k:
\(A = \dfrac{k}{0.6} = \dfrac{5k}{3},\ \ B = \dfrac{k}{0.3} = \dfrac{10k}{3},\ \ C = 6k\)
Step 3 — Form the ratio:
\(A : B : C = \dfrac{5k}{3} : \dfrac{10k}{3} : 6k = 5 : 10 : 18\)
Hence, the correct answer is 5 : 10 : 18.
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