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SSC CHSL 7-March-2018 Shift 3 Paper
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© examsnet.com
Question : 7
Total: 100
A number is divided into two parts in such a way that 30% of first part is 25 more than the 20% of second part. 50% of second part is 33.5 more than the 60% of first part. What is the number?
1475
1655
1425
1905
Validate
Solution:
Let the number be
100
(
x
+
y
)
such that both the parts are
100
x
and
100
y
According to ques,
⇒
(
30
100
×
100
x
)
−
(
20
100
×
100
y
)
=
25
⇒
30
x
−
20
y
=
25
⇒
6
x
−
4
y
=
5
-----------(i)
Similarly,
50
y
−
60
x
=
33.5
⇒
10
y
−
12
x
=
6.7
-------------(ii)
Multiplying first equation by '2' and adding both equations,
⇒
10
y
−
8
y
=
6.7
+
10
⇒
2
y
=
16.7
⇒
y
=
16.7
2
=
8.35
Similarly,
6
x
=
5
+
4
(
8.35
)
=
38.4
⇒
x
=
38.4
6
=
6.4
∴ Number =
100
(
6.4
+
8.35
)
=
100
×
14.75
=
1475
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