A) 2 months
B) 4 months
C) 6 months
D) 8 months
Correct Answer: C
Solution :
| Here, P = Rs. 3200 |
| Let time = t yr |
| \[\Rightarrow \] n = 4t |
| R = 10% per annum \[=\frac{10}{4}%\]quarterly |
| T = ? |
| A = Rs. 3362 \[\Rightarrow \]3362 = 3200\[{{\left( 1+\frac{10}{400} \right)}^{n}}\] |
| \[\Rightarrow \] \[\frac{3362}{3200}={{\left( \frac{410}{400} \right)}^{n}}\]\[\Rightarrow \]\[\frac{1681}{1600}={{\left( \frac{41}{40} \right)}^{n}}\] |
| \[{{\left( \frac{41}{40} \right)}^{2}}={{\left( \frac{41}{40} \right)}^{n}}\] |
| \[\Rightarrow \] n = 2 |
| \[\Rightarrow \] 4t = 2 quarter year |
| t \[=\frac{1}{2}\]quarter year |
| t \[=\frac{1}{2}\times 12=6\]months |
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