A) Rs. 246.50
B) Rs. 240
C) Rs 168
D) Rs 160
Correct Answer: A
Solution :
[a] For the first year S.I. and C.I. are same. The difference is therefore equal to the interest on S.I. for one year at 8% \[\therefore \] S.I. for 1 year\[=\frac{160\times 100}{8}=Rs.\,2000\] Hence the principle \[=\frac{2000\times 100}{8}=Rs.\,\,25000\] When the interest is compounded half yearly, C.I. for two years \[=25000{{\left( 1+\frac{4}{100} \right)}^{4}}-25000\] = Rs. 29246.50 ? 25000 = Rs. 4246.50 S.I. for 2 years = Rs. 4000 Difference in interest = Rs. 4246.50 ? 4000 = Rs. 246.50
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