| If \[\frac{4x+y}{x+4y}=2/3,\]then the value of\[\frac{x+4y}{4x+y}\]is |
A) 3/8
B) 3/4
C) 3/2
D) 3/6
Correct Answer: C
Solution :
| Given, \[\frac{4x+y}{x+4y}=2/3\] |
| \[\Rightarrow \] \[3\,\,(4x+y)=2\,\,(x+4y)\] |
| \[\Rightarrow \] \[10x=5y\]\[\Rightarrow \]\[2x=y\] |
| \[\therefore \] \[\frac{x+4y}{4x+y}=\frac{x+4\,\,(2x)}{4x+2x}=\frac{9x}{6x}=\frac{3}{2}\] |
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