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UPSC 2016 CDS I Math Paper
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© examsnet.com
Question : 25
Total: 100
If a sum of money at a certain rate of simple interest per year doubles in 5 years and at a different rate of simple interest per year becomes three times in 12 years, then the difference in the two rates of simple interest per year is
[2016 CDS-I]
2%
3%
3
1
3
%
4
1
3
%
Validate
Solution:
Let the two rates of interests be
R
1
%
per year and
R
2
%
per year, respectively.
Suppose the principal be ₹P.
∴
2
P
=
P
+
P
×
R
1
×
5
100
⇒
R
1
=
100
5
=
20
%
per year
Also,
3
P
=
P
+
P
×
R
2
×
12
100
⇒
R
2
=
2
×
100
12
=
50
3
%
per year
∴
R
1
−
R
2
=
20
−
50
3
=
10
3
=
3
1
3
%
per year
© examsnet.com
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