10. Find the rate of interest that brings
interest (C.I.) of R 520 at the
end of 2 years and Rs 561.60 at
the end of 3 years. Find also the
amount earning such interest
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1
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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