A) Rs. 3000
B) Rs. 3600
C) Rs. 3200
D) Rs. 3400
Correct Answer: C
Solution :
| [c] \[CI=P\left[ {{\left( 1+\frac{R}{100} \right)}^{T}}-1 \right]\] Here, \[CI=328,\]\[R=5%,\]\[T=2\] \[\Rightarrow \] \[328=P\left[ {{\left( 1+\frac{5}{100} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[328=P\left[ {{\left( 1+\frac{1}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[328=P\left[ {{\left( \frac{21}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[328=P\left[ \frac{441}{400}-1 \right]\] \[\Rightarrow \] \[328=P\left[ \frac{441-400}{400} \right]\] \[\Rightarrow \] \[\frac{328\times 400}{41}=P\] \[\Rightarrow \] \[P=8\times 400=\text{Rs}.\,\,3200\] |
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