A) 6%
B) 8%
C) 10%
D) 12%
Correct Answer: B
$ \Rightarrow $ $ \frac{16}{25}x=\frac{x\times r\times t}{100} $
$ \Rightarrow $ $ r^{2}=64 $
$ \Rightarrow $ $ r=64 $
$ \Rightarrow $ $ r=8% $ per annum Alternate Method If SI is $ \frac{x}{y} $ part of the principal P at the rate of r% per annum in $ tyr, $ also $ t=r $ Then, $ t=r=\sqrt{\frac{x}{y}\times 100} $ Here, $ \frac{x}{y}=\frac{16}{25} $
$ \Rightarrow $ $ r=\sqrt{\frac{16}{25}\times 100} $ $ =\sqrt{64}=8 $ %per annum