A) \[\frac{2}{3}\]
B) \[\frac{8}{15}\]
C) \[\frac{7}{11}\]
D) \[\frac{4}{5}\]
Correct Answer: B
Solution :
Original fraction \[=\frac{x}{y}\] \[\therefore \] \[\frac{\frac{120}{100}x}{y\times \frac{80}{100}}=\frac{4}{5}\] \[\Rightarrow \] \[\frac{120x}{80y}=\frac{4}{5}\Rightarrow \frac{6x}{4y}=\frac{4}{5}\] \[\Rightarrow \] \[\frac{x}{y}=\frac{4}{5}\times \frac{4}{6}=\frac{8}{15}\] In case II. Time = 2 years \[\therefore \] In case I, Rate\[~=2\times 5=10%\]
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