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IBPS RRBs Officer Scale I and II 13 Sep 2015 Paper
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© examsnet.com
Question : 44
Total: 200
The interest received on a sum of money when invested in scheme A is equal to the interest received on the same sum of money when invested for 2 years in scheme B. Scheme A offers simple interest (p.c.p.a.) and scheme B offers compound interest (compounded annually). Both the schemes offer the same rate of interest. If the numerical value of the number of years for which the sum is invested in scheme A is same as the numerical value of the rate of interest offered by the same scheme, what is the rate of interest (p.c.p.a) offered by scheme A ?
3
2
1
77
3
4
99
2
2
99
2
Validate
Solution:
(4) Let the rate of S.I. be r% per annum.
⇒Time = r years
S.I. =
P
r
i
n
c
i
p
a
l
×
T
i
m
e
×
R
a
t
e
100
C.I. =
P
r
i
n
c
i
p
a
l
[
(
1
+
R
A
T
E
100
)
T
I
M
E
–
1
]
According to the question,
P
r
i
n
c
i
p
a
l
×
T
i
m
e
×
R
a
t
e
100
. =
P
[
(
1
+
r
100
)
2
–
1
]
r
100
=
r
10000
+
1
50
r
100
–
r
10000
=
1
50
⇒
100
r
–
r
10000
=
1
50
⇒ 99r =
10000
50
= 200
r=
200
99
⇒
2
2
99
% per annum
© examsnet.com
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