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SSC CGL Tier 2 Exam 25 Oct 2015 Paper 1
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© examsnet.com
Question : 3
Total: 100
A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of
Rs. 3,050
Rs. 2,760
Rs. 2,750
Rs. 2,800
Validate
Solution:
(2) Let the loans taken by A, B and C be Rs. x, Rs. y and Rs. z respectively.
∴ x + y + z = Rs. 7930
S.1.
=
Principal
×
Time
×
Rate
100
According to the question,
x
+
x
×
2
×
5
100
=
y
+
y
×
3
×
5
100
=
z
+
z
×
4
×
5
100
⇒
100
x
+
10
x
100
=
100
y
+
15
y
100
=
100
z
+
20
z
100
⇒
110
x
=
115
y
=
120
z
⇒
22
x
=
23
y
=
24
z
⇒
22
x
6072
=
23
y
6072
=
24
z
6072
[LCM of 22, 23 and 24 = 6072]
⇒
x
276
=
y
264
=
z
253
∴
x
:
y
:
z
=
276
:
264
:
253
Sum of terms of ratio
=
276
+
264
+
253
=
793
∴
A's loan
=
276
793
×
7930
=
Rs. 2760
© examsnet.com
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