94. A 6 meter wide pathway has been
constructed along the periphery and
inside of a square field of length
50 meter. The total expenditure to
cover this pathway with red sand at
the rate of Rs. 30 per square meter, is :
(1) Rs. 75000
(2) Rs. 58080
(3) Rs. 31680
(4) Rs. 1080
please solve
Answers
Given : A 6 meter wide pathway has been constructed along the periphery and inside of a square field of length 50 meter.
To Find : The total expenditure to cover this pathway with red sand at
the rate of Rs. 30 per square meter
(1) Rs. 75000
(2) Rs. 58080
(3) Rs. 31680
(4) Rs. 1080
Solution:
square field of length 50 meter.
Area = 50 x 50
=> area of field = 2500 m²
6 meter wide pathway has been constructed along the periphery and
inside of a square field
Hence Length of field excluding path = 50 - 2 x 6
= 38 m
Area of field excluding path = 38 x 38
= 1444 m²
Area of Path = 2500 - 1444
= 1,056 m²
Rate = Rs 30 per square meter
Cost = 30 x 1056
= 31,680 Rs
Cost of Red sand = Rs 31680
(3) Rs. 31680 is correct option.
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