A) Rs. 10000
B) Rs. 20000
C) Rs. 15000
D) Rs. 32250
Correct Answer: A
Solution :
[a] CI = Rs. 3225, r = 15%, t = 2 years \[\therefore \] \[CI=P\left[ {{\left( 1+\frac{r}{100} \right)}^{t}}-1 \right]\] \[\Rightarrow \] \[3225=P\left[ {{\left( 1+\frac{15}{100} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[3225=P\left[ {{\left( 1+\frac{3}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[3225=P\left[ {{\left( \frac{23}{20} \right)}^{2}}-1 \right]\] \[\Rightarrow \] \[3225=P\left( \frac{529}{400}-1 \right)\] \[\Rightarrow \] \[3225=P\times \frac{129}{400}\] \[\Rightarrow \] \[P=\frac{3225\times 400}{129}\] \[\Rightarrow \] \[P=25\times 400\]\[\Rightarrow \] \[P=\text{Rs}.\,\,10000\] |
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