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CDS Model Paper 1 Mathematics
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© examsnet.com
Question : 7
Total: 100
Rahul borrowed a certain sum from Dhawan at a certain rate of simple interest for 2 years. He lent this sum to Ramesh at the same rate of interest compounded annually for the same period. At the end of two years, he received ₹ 4200 as compound interest but paid
₹
4000
only as simple interest. Find the rate of interest.
12
%
25
%
35
%
10
%
Validate
Solution:
Let the money borrowed be
Rs
x
and the rate of interest charged
=
r
%
Time
=
2
years
Now,
4000
=
x
×
r
×
2
100
⇒
r
x
=
200000
......(i)
Again,
x
(
1
+
r
100
)
2
=
x
+
4200
⇒
x
r
2
10000
+
2
x
r
100
=
4200
or
20
r
+
4000
=
4200
[from (i)]
or
r
=
10
%
© examsnet.com
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