A) Rs. 14000
B) Rs. 3500
C) Rs. 7000
D) Rs. 5600
Correct Answer: C
Solution :
\[C.I=P\left[ {{\left( 1+\frac{R}{100} \right)}^{T}}-1 \right]\] \[=16000\left[ {{\left( 1+\frac{10}{100} \right)}^{2}}-1 \right]\] \[=16000\left[ {{\left( \frac{11}{10} \right)}^{2}}-1 \right]\] \[=16000\left( \frac{121}{100}-1 \right)\] \[=16000\times \left( \frac{121-100}{100} \right)\] \[=16000\times \frac{21}{100}=\]Rs. 3360 \[\therefore \] \[S.I.=\left( \frac{3360}{2} \right)\] = Rs. 1680 \[\therefore \]Principal \[=\frac{\text{S}\text{.I}\text{. }\!\!\times\!\!\text{ 100}}{\text{Time}\,\text{ }\!\!\times\!\!\text{ }\,\text{Rate}}\] \[=\frac{1680\times 100}{3\times 8}\] = Rs. 7000
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