A) 21 percent
B) 19 percent
C) 17 percent
D) 15 percent
Correct Answer: A
Solution :
\[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \]\[73205=50000{{\left( 1+\frac{R}{100} \right)}^{2}}\] \[\Rightarrow \]\[\frac{73205}{50000}={{\left( 1+\frac{R}{100} \right)}^{2}}\] \[\Rightarrow \]\[\frac{14641}{10000}={{\left( 1+\frac{R}{100} \right)}^{2}}\] \[\Rightarrow \]\[{{\left( \frac{121}{100} \right)}^{2}}={{\left( 1+\frac{R}{100} \right)}^{2}}\] \[\Rightarrow \]\[1+\frac{R}{100}=\frac{121}{100}\] \[\Rightarrow \]\[\frac{R}{100}=\frac{121}{100}-1=\frac{21}{100}\] \[\Rightarrow \]\[R=\frac{21}{100}\times 100\] \[=21%\]per annum
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