A) \[1\frac{1}{2}\]
B) \[1\frac{2}{3}\]
C) \[2\frac{1}{3}\]
D) \[2\frac{1}{2}\]
Correct Answer: A
Solution :
[a] Rate = 10% per annum =5% half yearly \[A=P{{\left( 1+\frac{R}{100} \right)}^{T}}\] \[\Rightarrow \,\,\,926.10=800\,{{\left( 1+\frac{5}{100} \right)}^{T}}\] \[\Rightarrow \,\,\,\frac{9261}{8000}={{\left( \frac{21}{20} \right)}^{T}}\] \[\Rightarrow \,\,\,{{\left( \frac{21}{20} \right)}^{3}}={{\left( \frac{21}{20} \right)}^{T}}\] .\[\therefore \] Time = 3 half years = \[1\frac{1}{2}\] years
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