Ir the difference between compound and simple interest on a comam principal a 10% per annum
for 2 years is 50 when compounded yearly, find the sum
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Answer:
For first year, S.I. = C.I.
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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