Q.18 Find the amount and compound interest when the interest is compounded
annually.
i) Principal = Rs 5000, Time = 3 years,Rate = 5% per annum
ii) Principal = Rs 2000,Time = 2 years,Rate = 8% per annum
Explain clearly and answer fast
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Answer:
1
st
year
Principal, P=Rs.5000
Time, T=1 year
Rate of interest ,R=6%
∴simple Interest, SI=
100
PTR
=
100
5000×10×6
=Rs.300
∴Amount=P+SI=Rs.5300
2nd year
Principal = Amount of 1st year=Rs.5300
Rate of interest =8%
Time =1 year
∴ Interest =
100
5300×1×8
=Rs.424
∴ Amount =Rs.(5300+424)=Rs.5724
The interest of 2nd year is the required compound interest. So, C.I=rs.424 and the required amount is Rs.5724
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