8. A sum of Rs. 2000 becomes Rs. 2205 @ 5% per annum compound interest
find the time.
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1
P=Rs.2000
R=5%
A=Rs.2205
A=P(1+
100
R
)
n
⇒2205=2000(1+
100
5
)
n
⇒
2000
2205
=(
100
105
)
n
⇒
400
441
=(
20
21
)
n
⇒(
20
21
)
2
=(
20
21
)
n
∵ Powers are equal if bases are equal n=2 i.e., Time =2 years
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