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CDS Model Paper 4 Mathematics
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© examsnet.com
Question : 69
Total: 100
An average Indian family allocates its monthly income under different heads as follows:
Items
Percentage Share
Food
40
House Rent
15
Saving
x
Transport
12
Miscellaneous
23
A pie diagram of this data is to be drawn. What is the value of
x
, if the angle which the sector representing saving makes at the centre is
36
°
?
13
11
10
8
Validate
Solution:
We know that:
Central angle
=
Value
of
item
Sum
of
values
of
items
x
×
360
°
∴
36
°
=
x
40
+
15
+
x
+
12
+
3
×
360
°
⇒
36
°
360
°
=
x
90
+
x
⇒
90
+
x
=
10
x
⇒
9
x
=
90
∴
x
=
10
© examsnet.com
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