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SSC CGL Tier 2 Exam 12 Jan 2017 Paper 1
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© examsnet.com
Question : 58
Total: 100
The cost of levelling a circular field at 50 paise per square metre is Rs. 7700. The cost (in Rs.) of putting up a fence all round it at Rs. 1.20 per metre is
(
Use
π
=
22
7
)
Rs. 132
Rs. 264
Rs. 528
Rs. 1056
Validate
Solution:
(3) Area of circular field
=
Total
Expenditure
Rate
per
square
metre
=
(
7700
1
2
)
sq. metre
= (7700 × 2) sq. metre
= 15400 sq. metre
If radius of field = r metre then,
π
r
2
=
15400
⇒
22
7
r
2
=
15400
⇒
r
2
=
15400
×
7
22
=
7
×
700
∴
r
=
√
7
×
7
×
100
=
70
metre
∴ Circumference of circular field
=
2
π
r
metre
=
2
×
22
7
×
70
=
440
metre
∴ Total expenditure fencing = Rs. (440 × 1.2) = Rs. 528
© examsnet.com
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