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UPSC CDS I 2019 Math Paper
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© examsnet.com
Question : 45
Total: 100
A person divided a sum of ₹ 17,200 into three parts and invested at 5%, 6% and 9% per annum simple interest. At the end of two years, he got the same interest on each part of money. What is the money invested at 9% ?
[2019 CDS-I]
₹ 3,200
₹ 4,000
₹ 4,800
₹ 5,000
Validate
Solution:
Let the sum invested on 5%, 6%and 9% be x, y and z, respectively.
Interest on x = 10% of x
Interest on y = 12% of y
Interest on z = 18% of z
According to the question:10% of x = 12% of y = 18% of z = k
⇒
x
=
k
10
%
,
y
=
k
12
%
,
z
=
k
18
%
x
:
y
:
z
=
1
10
:
1
12
:
1
18
=
18
:
15
:
10
∴
z
=
10
43
×
17200
⇒
z
=
4000
© examsnet.com
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