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Standard VIII
Mathematics
Question
A sum of money at compound interest is doubled in 20 years. Then the number of years required to triple itself are
32 years
35 years
40 years
45 years
A
40 years
B
45 years
C
32 years
D
35 years
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Solution
Verified by Toppr
A
=
P
(
1
+
r
)
t
Here,
A
=
Final Amount
P
=
Principal
r
=
Rate of interest
t
=
Time (years)
Given that, amount doubles in
20
years
⇒
2
P
=
P
(
1
+
r
)
20
∴
(
1
+
r
)
=
20
√
2
=
1.035
r
=
0.035
For amount to triple, let time be
t
⇒
3
P
=
P
(
1.035
)
t
∴
t
=
32
years
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