A) \[2\frac{1}{2}\] years
B) 3 years
C) 2 years
D) \[1\frac{1}{2}\] years
Correct Answer: D
Solution :
Rate = 10% Per annum = 5% per half year Time =T years = 2T half years \[\therefore \] \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \] \[926.10=800{{\left( 1+\frac{5}{100} \right)}^{2T}}\] \[\Rightarrow \] \[\frac{926.10}{800}={{\left( 1+\frac{1}{20} \right)}^{2T}}\] \[\Rightarrow \] \[\frac{9261}{8000}={{\left( \frac{21}{20} \right)}^{2T}}\] \[\Rightarrow \] \[{{\left( \frac{21}{20} \right)}^{3}}={{\left( \frac{21}{20} \right)}^{2T}}\] \[\Rightarrow \] \[2T=3\Rightarrow T=\frac{3}{2}\] years
You need to login to perform this action.
You will be redirected in
3 sec
