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Byju's Answer
Standard VIII
Mathematics
SI
A sum becomes...
Question
A sum becomes
R
s
.
4800
after two years and
R
s
.
6400
after four years at compound interest per annum compounded annually. Find the sum.
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Solution
Let the sum be
x
and the rate be
r
Given, Amount in 2 years
=
x
(
1
+
r
100
)
2
=
4800
.
.
.
(
I
)
and the amount in 4 years
=
x
(
1
+
r
100
)
4
=
6400
.
.
.
(
I
I
)
Let us divide equation
(
I
)
by equation
(
I
I
)
⇒
x
(
1
+
r
100
)
2
x
(
1
+
r
100
)
4
=
4800
6400
⇒
(
1
+
r
100
)
2
=
4
3
⇒
1
+
r
100
=
2
√
3
⇒
r
100
=
2
√
3
−
1
from
(
I
)
,
⇒
x
(
1
+
2
√
3
−
1
)
2
=
4800
⇒
x
×
4
3
=
4800
∴
x
=
R
s
.3600
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