3. A sum was invested at 12% p.a., interest compounded semi-annually for 2 years. If simple interest on
the sum for 1 year is 960, find the compound interest on the sum for first year.
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Answer:
For the first year, P=Rs.2000,R=5%
so, I =
100
P×R×T
=
100
Rs.2100×5×1
=Rs.105
The amount after the second year =Rs.2100+Rs.105
=Rs.2205
Final amount =Rs.2205
Hence, Compound Interest = final amount - original amount
=Rs.2205−Rs.2000=Rs.205
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