A) Rs. 24.81
B) Rs. 32.41
C) Rs. 36.91
D) Rs. 31.61
Correct Answer: A
Solution :
For first year, S.I. = C.I. Now, Rs. 16 is the S.I. on S.I. for 1 year. \[\therefore \] Rs. 10 is S.I. on Rs. 100 \[\therefore \] Rs. 16 is S.I. on \[\left( \frac{100}{10}\times 16 \right)=Rs.160\] \[\therefore \] S.I. on principal for 1 year at 10% is Rs. 160. \[\therefore \] Principal \[=\left( \frac{100\times 160}{10\times 1} \right)=Rs.1600\] Amount for 2 years compounded half yearly \[=Rs.\left[ 1600\times {{\left( 1+\frac{5}{100} \right)}^{4}} \right]=Rs.1944.81\] \[\therefore \] C.I. \[Rs.(1944.81-1600)=Rs.344.81\] S.I. \[=Rs.\left( \frac{1600\times 10\times 2}{100} \right)=Rs.320\] \[\therefore \] \[(C.I.)-(S.I.)=Rs.(344.81-320)=Rs.24.81\]
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