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Question

The cost of fencing a circular field at the rate Rs 24 per metre is Rs 5280. The field is to be ploughed at the rate of Rs 0.50 per m2. Find the cost of ploughing the field. (Take π=22/7)

A
Rs. 1278
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B
Rs. 1437
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C
Rs. 1925
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D
Rs. 2870
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Solution

The correct option is C Rs. 1925
We have,
Rate of fencing = Rs 24 per metre and, Total cost of fencing = Rs 5280

Length of the fence =TotalcostRate=528024 metre =220 metre.

Circumference of the field =220 metres.

2πr=220, where r is the radius of the field

2×227×r=220

r=220×722×2=35 metres

Area of the field =πr2

Area of the field =227×35×35m2=22×5×35m2

It is given that the field is ploughed at the rate of Rs 0.50 per m2

Cost of ploughing the field = Rs (22×5×35×0.50)= Rs 1925

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