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CDS Model Paper 3 Mathematics
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© examsnet.com
Question : 59
Total: 100
The ratio of height of a room to its semi-perimeter is
2
:
5
. It costs ₹ 260 to paper the walls of the room with paper
50
c
m
wide at
₹
2
per metre alllowing an area of 15 sq.
m
for doors and windows. The height of the room is:
2.6
m
3.9
m
4
m
4.2
m
Validate
Solution:
Let
h
=
2
x
metres and
(
l
+
b
)
=
5
x
metres.
Length of the paper
=
Total
cost
Rate
per
m
=
260
2
m
=
130
m
.
Area of the paper
=
(
130
×
50
100
)
m
2
=
65
m
2
.
Total area of 4 walls
=
(
65
+
15
)
m
2
=
80
m
2
∴
2
(
l
+
b
)
×
h
=
80
⇒
2
×
5
x
×
2
x
=
80
⇒
x
2
=
4
⇒
x
=
2
∴ Height of the room
=
4
m
.
© examsnet.com
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