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NIACL Model Paper 8 with solutions for free online practice
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© examsnet.com
Question : 53
Total: 100
The length of a rectangular field is 75% more than the breadth of the same field. If the total cost of fencing the field at the rate of Rs. 5 per metre was Rs. 220, what is the area of the field ? (in sq. metre)
112
72
114
96
128
Validate
Solution:
(1) Breadth of the rectangular field = x metre
∴ Its length =
175
x
100
metre
=
7
x
4
metre
Perimeter of field
=
Total expenditure
Rate
=
[
220
5
]
metre = 44 metre
∴
2
[
7
x
4
+
x
]
=
44
⇒
7
x
+
4
x
4
=
44
2
=
22
⇒
11
x
=
22
×
4
⇒
x
=
22
×
4
11
=
8
metre
∴ Length
=
7
x
4
=
7
×
8
4
=
14
metre
∴Required area
=
(
14
×
8
)
sq. metre
= 112 sq. metre
© examsnet.com
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