| If 20% of A = 30% of \[B=\frac{1}{6}\]then A : B : C is [SSC (CPO) 2007] |
A) 2: 3: 16
B) 3: 2: 16
C) 10: 15: 18
D) 15: 10: 18
Correct Answer: D
Solution :
| 20% of \[A=30%\] and \[B=\frac{1}{6}\]of C |
| \[\Rightarrow \]\[\frac{20A}{100}=\frac{30B}{100}=\frac{C}{6}\] |
| \[\Rightarrow \]\[\frac{A}{5}=\frac{B}{\frac{10}{3}}=\frac{C}{6}=k\] |
| \[\Rightarrow \]\[A=5k,\]\[B=\frac{10}{3}k\] |
| and \[C=6k\] |
| \[\therefore \]\[A:B:C=5k:\frac{10k}{3}:6k=15:10:18\] |
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