A man invests an amount partly in two parts. In first one he invests at 10% per annum in simple interest and another at 10% per annum in compound interest. If he gets a total of ₹321. Find the amount invested in compound interest. both for simple interest and compound interest time will be of 2 years.
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Now, Rs. 16 is the S.I. on S.I. for 1 year.
∴ Rs. 10 is S.I. on Rs. 100
∴ Rs. 16 is S.I. on (
10
100
×16)= Rs. 160
∴ S.I. on principal for 1 year at 10% is Rs. 160.
∴ Principal =(
10×1
100×160
)= Rs.1600.
Amount for 2 years compounded half yearly
=Rs.[1600×(1+
100
5
)
4
]=Rs.1944.81
∴ C.I.Rs(1944.81−1600)=Rs.344.81
S.I.=Rs.(
100
1600×10×2
)=Rs.320
∴(C.I.)−(S.I.)=Rs.(344.81−320)=Rs.24.81
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