a) A man invests 8,000 for two years at a certain rate of interest, compounded annually.
At the end of one year it amounts to 8,800. Calculate:
the rate of interest per annum.
(ii) the interest accrued in the second year.
(iii) the amount at the end of the second year.
[3]
Answers
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P=Rs.8000
Amount after one year =Rs.9440
Interest for 1 year=9440−8000=Rs.1440
let rate of interest =R
C.I for one year=S.I for 1 year=
100
PRT
⇒1440=
100
8000×R×1
⇒R=
8000
1440×100
=18%
For second year
P=9440
R=18%
T=1 year
∴Amount=P(1+
100
R
)
T
⇒9440(1+
100
18
)
⇒9440×
100
118
=Rs.11139.20
Hence Amount at the end of second year =Rs.11139.20
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