A) Rs. 10000
B) Rs. 12000
C) Rs. 15000
D) Rs. 9000
Correct Answer: A
Solution :
Given that, \[P=Rs.\,P,\,\,r=12%\] \[n=1\,yr\] For half yearly \[r=6%\] and \[n=2\] half yearly \[CI=P\left[ {{\left( 1+\frac{r}{100} \right)}^{n}}-1 \right]\] \[=P\left[ {{\left( 1+\frac{6}{100} \right)}^{2}}-1 \right]\] \[=P\left[ {{\left( \frac{23}{50} \right)}^{2}}-1 \right]\] \[=P\left[ \frac{2809-2500}{2500} \right]=Rs.\frac{309P}{2500}\] \[SI=\frac{P\times 12\times 1}{100}=Rs.\frac{3P}{25}\] According to question, \[\frac{309P}{2500}-\frac{3P}{25}=36\] \[\Rightarrow \] \[\frac{309-300P}{2500}\] \[\Rightarrow \] \[P=\frac{36\times 2500}{9}=10000\]
You need to login to perform this action.
You will be redirected in
3 sec
