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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 9
Total: 100
A trader has
50
kg
of rice, a part of which he sells at
10
%
profit and the rest at
5
%
loss. He gains
7
%
on the whole.
How much was sold at
10
%
gain and how much was sold at
5
%
loss?
40
kg
,
15
kg
30
kg
,
10
kg
35
kg
,
40
kg
40
kg
,
10
kg
Validate
Solution:
Let the rice sold at
10
%
profit be
x
kg
Since, trader has
50
kg
rice.
and
(
50
−
x
)
kg
rice sold at
5
%
loss.
∴
[
x
×
100
+
10
100
]
+
[
(
50
−
x
)
×
100
−
5
100
]
since, trader gains
7
%
on the whole
∴
110
x
100
+
(
50
−
x
)
×
95
100
=
(
100
+
7
)
×
50
100
⇒
11
x
10
+
47.5
−
.95
x
=
107
2
⇒
1.1
x
+
47.5
−
0.95
x
=
53.5
⇒
0.15
x
=
53.5
−
47.5
⇒
0.15
x
=
6
⇒
x
=
6
0.15
=
40
kg
© examsnet.com
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