If \[3x=5y=4z,\] then \[x:y:z\] equal to [SSC (GGL) 2011] |
A) 19 : 12 : 16
B) 15 : 10 : 9
C) 20 : 12 : 15
D) 8 : 4 : 9
Correct Answer: C
Solution :
Let \[3x=5y=4z=k\] |
\[\Rightarrow \] \[x=\frac{k}{3},\]\[y=\frac{k}{5},\]\[z=\frac{k}{4}\] |
\[x:y:z=\frac{k}{3}:\frac{k}{5}:\frac{k}{4}=20\,k:12\,k:15\,k\] |
\[=20:12:15\] |
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