A) 4 : 1
B) 1 : 4
C) 5 : 4
D) 5 : 9
Correct Answer: B
Solution :
\[(B-A)\times \frac{30}{100}=(B+A)\times \frac{18}{100}\] \[\therefore \] \[\frac{B-A}{B+A}=\frac{18}{30}=\frac{3}{5}\] By componendo and dividendo, \[\frac{2B}{-\,\,2A}=\frac{3+5}{3-5}=\frac{8}{-\,\,2}=\frac{4}{-\,\,1}\] \[\Rightarrow \] \[\frac{B}{A}=\frac{4}{1}\] \[\Rightarrow \] \[A:B=1:4\]You need to login to perform this action.
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