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RBI Grade B Officers 2016 Sep shift 2 Paper
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© examsnet.com
Question : 112
Total: 200
Shyam invests certain sums in schemes- A and B for two years each. Sum invested in scheme B is 20% more than that invested in scheme A. Scheme A of fers compound interest (compounded annually) at the rate of 20% per annum scheme B offers simple interest per annum. Respective ratio between the interests earned from scheme A and that earned from scheme B was 11: 9.
Quantity I : Rate of interest offered by scheme B.
II : Rate of interest offered by scheme C (simple interest per annum) when Rs. 1800 invested for 2 years earns an interest of Rs. 432.
If Quantity I
>
Quantity II
If Quantity I > Quantity II
If Quantity I < Quantity II
Quantity I = Quantity II orthe relationship cannot beestablished from the informationthat is given
Quantity < Quantity II
Validate
Solution:
(3) Let the investment in
scheme A be Rs. x.
∴ Investment in scheme B
=
R
s
.
(
120
X
100
)
=
R
s
.
(
6
X
5
)
C.I. from scheme A
= Rs.
[
(
1
+
20
100
)
2
−
1
]
=
R
s
.
x
(
36
25
–
1
)
=
R
s
.
11
X
25
Interest from scheme B
=
6
X
×
2
×
r
100
=
R
s
.
3
x
T
25
∴
11
x
25
3
x
T
25
=
11
9
⇒
11
3
r
=
11
9
⇒ 3r = 9⇒ r = 3% per annum
∴ Quantity I = 3%
Quantity II,
Rate
=
432
×
100
1800
×
2
= 12% per annum
∴Quantity I < Quantity II
© examsnet.com
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