A) \[3\frac{1}{2}yr\]
B) \[1\frac{1}{2}yr\]
C) \[2\frac{1}{2}yr\]
D) \[2\,yr\]
Correct Answer: B
Solution :
| [b] R = 10% yearly = 5% half-yearly \[\therefore \] \[A=P{{\left( 1+\frac{r}{100} \right)}^{n}}\] \[\Rightarrow \] \[9261=8000{{\left( 1+\frac{5}{100} \right)}^{2n}}\] \[\Rightarrow \] \[{{\left( \frac{21}{20} \right)}^{3}}={{\left( \frac{21}{20} \right)}^{2n}}\] \[\therefore \] \[3=2n\]\[\Rightarrow \]\[n=\frac{3}{2}=1\frac{1}{2}yr\] |
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